/**
* @license
* Copyright 2016 Google Inc. All rights reserved.
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package com.google.security.wycheproof;
import java.math.BigInteger;
import java.security.KeyFactory;
import java.security.KeyPair;
import java.security.KeyPairGenerator;
import java.security.interfaces.RSAPrivateCrtKey;
import java.security.interfaces.RSAPrivateKey;
import java.security.interfaces.RSAPublicKey;
import java.security.spec.InvalidKeySpecException;
import java.security.spec.X509EncodedKeySpec;
import junit.framework.TestCase;
/**
* Tests RSA keys. Signatures and encryption are tested in different tests.
*
* @author bleichen@google.com (Daniel Bleichenbacher)
*/
// TODO(bleichen):
// - Add checks for bad random numbers
// - expect keys with e=1 to be rejected
// - expect keys with e=0 to be rejected
// - document stuff
// - Maybe also check encodings of private keys.
// - Test multi prime RSA
// - Tests for alternative representations:
// many libraries sort the primes as: p > q (but not all)
// some libraries compute d mod lambda(n)
// paramaters p,q,... are not really required
// - checks for bad random number generation
public class RsaKeyTest extends TestCase {
public static final String ENCODED_PUBLIC_KEY =
"30819f300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001";
/**
* Encodings of the public key from ENCODED_PUBLIC_KEY with modifications.
* This list so far has just a simple purpose: it is used to check whether parsing the key
* leads to some unexpected exceptions. I.e. it should not be possible to crash an
* application with an modified public key.
*/
public static final String[] MODIFIED_PUBLIC_KEY = {
// length contains leading 0
"3082009f300d06092a864886f70d010101050003818d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
"3081a13082000d06092a864886f70d010101050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300f068200092a864886f70d010101050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300f06092a864886f70d0101010582000003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a0300d06092a864886f70d01010105000382008d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
"30819f300d06092a864886f70d010101050003818d3082008902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d010101050003818d30818a0282008100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"3081a0300d06092a864886f70d010101050003818e30818b02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02820003"
+ "010001",
// wrong length
"30a0300d06092a864886f70d010101050003818d0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"309e300d06092a864886f70d010101050003818d0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819f300e06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300c06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d060a2a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06082a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d010101050103818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819e300d06092a864886f70d0101010500038e0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300d06092a864886f70d0101010500038c0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819d300d06092a864886f70d010101050003818b308a02818100ab9014dc47"
+ "d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d05"
+ "02c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236"
+ "ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295db"
+ "c3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203010001",
"30819d300d06092a864886f70d010101050003818b308802818100ab9014dc47"
+ "d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d05"
+ "02c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236"
+ "ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295db"
+ "c3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203010001",
"30819d300d06092a864886f70d010101050003818b308188028200ab9014dc47"
+ "d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d05"
+ "02c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236"
+ "ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295db"
+ "c3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203010001",
"30819d300d06092a864886f70d010101050003818b308188028000ab9014dc47"
+ "d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d05"
+ "02c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236"
+ "ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295db"
+ "c3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203010001",
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02040100"
+ "01",
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02020100"
+ "01",
// uint32 overflow in length
"3085010000009f300d06092a864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a43085010000000d06092a864886f70d010101050003818d003081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a43012068501000000092a864886f70d010101050003818d003081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a4301206092a864886f70d0101010585010000000003818d003081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a3300d06092a864886f70d01010105000385010000008d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a2300d06092a864886f70d01010105000381903085010000008902818100"
+ "ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9"
+ "8590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26"
+ "c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6feb"
+ "e1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f"
+ "0203010001",
"3081a2300d06092a864886f70d010101050003819030818d0285010000008100"
+ "ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9"
+ "8590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26"
+ "c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6feb"
+ "e1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f"
+ "0203010001",
"3081a3300d06092a864886f70d010101050003819130818e02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02850100"
+ "000003010001",
// uint64 overflow in length
"308901000000000000009f300d06092a864886f70d010101050003818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a8308901000000000000000d06092a864886f70d010101050003818d0030"
+ "818902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c5410"
+ "0cb6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4"
+ "d0f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984"
+ "b562517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315ac"
+ "f9a0b351a23f0203010001",
"3081a8301606890100000000000000092a864886f70d010101050003818d0030"
+ "818902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c5410"
+ "0cb6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4"
+ "d0f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984"
+ "b562517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315ac"
+ "f9a0b351a23f0203010001",
"3081a8301606092a864886f70d010101058901000000000000000003818d0030"
+ "818902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c5410"
+ "0cb6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4"
+ "d0f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984"
+ "b562517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315ac"
+ "f9a0b351a23f0203010001",
"3081a7300d06092a864886f70d0101010500038901000000000000008d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a6300d06092a864886f70d01010105000381943089010000000000000089"
+ "02818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6"
+ "e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f1"
+ "09fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562"
+ "517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0"
+ "b351a23f0203010001",
"3081a6300d06092a864886f70d01010105000381943081910289010000000000"
+ "00008100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6"
+ "e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f1"
+ "09fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562"
+ "517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0"
+ "b351a23f0203010001",
"3081a7300d06092a864886f70d010101050003819530819202818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02890100"
+ "00000000000003010001",
// length = 2**32 - 1
"3084ffffffff300d06092a864886f70d010101050003818d0030818902818100"
+ "ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9"
+ "8590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26"
+ "c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6feb"
+ "e1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f"
+ "0203010001",
"3081a33084ffffffff06092a864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a330110684ffffffff2a864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a3301106092a864886f70d0101010584ffffffff03818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a2300d06092a864886f70d01010105000384ffffffff0030818902818100"
+ "ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9"
+ "8590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26"
+ "c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6feb"
+ "e1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f"
+ "0203010001",
"3081a1300d06092a864886f70d010101050003818f3084ffffffff02818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300d06092a864886f70d010101050003818f30818c0284ffffffff00ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a2300d06092a864886f70d010101050003819030818d02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0284ffff"
+ "ffff010001",
// length = 2**64 - 1
"3088ffffffffffffffff300d06092a864886f70d010101050003818d00308189"
+ "02818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6"
+ "e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f1"
+ "09fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562"
+ "517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0"
+ "b351a23f0203010001",
"3081a73088ffffffffffffffff06092a864886f70d010101050003818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a730150688ffffffffffffffff2a864886f70d010101050003818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a7301506092a864886f70d0101010588ffffffffffffffff03818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a6300d06092a864886f70d01010105000388ffffffffffffffff00308189"
+ "02818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6"
+ "e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f1"
+ "09fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562"
+ "517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0"
+ "b351a23f0203010001",
"3081a5300d06092a864886f70d01010105000381933088ffffffffffffffff02"
+ "818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1"
+ "d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109"
+ "fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b56251"
+ "7e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b3"
+ "51a23f0203010001",
"3081a5300d06092a864886f70d01010105000381933081900288ffffffffffff"
+ "ffff00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1"
+ "d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109"
+ "fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b56251"
+ "7e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b3"
+ "51a23f0203010001",
"3081a6300d06092a864886f70d010101050003819430819102818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0288ffff"
+ "ffffffffffff010001",
// removing sequence
"",
"30819003818d0030818902818100ab9014dc47d44b6d260fc1fef9ab022042fd"
+ "9566e9d7b60c54100cb6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb1"
+ "67d8a44ab93d73c4d0f109fb5a26c2f8823236ff517cf84412e173679cfae42e"
+ "043b6fec81f9d984b562517e6febe1f72295dbc3fdfc19d3240aa75515563f31"
+ "dad83563f3a315acf9a0b351a23f0203010001",
// appending 0's to sequence
"3081a1300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "00010000",
"3081a1300f06092a864886f70d0101010500000003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a0300d06092a864886f70d010101050003818e30818b02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "010000",
// prepending 0's to sequence
"3081a10000300d06092a864886f70d010101050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300f000006092a864886f70d010101050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a0300d06092a864886f70d010101050003818e30818b000002818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
// appending unused 0's
"30819f300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "00010000",
"3081a1300d06092a864886f70d0101010500000003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300f06092a864886f70d0101010000050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a0300d06092a864886f70d010101050003818e30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "010000",
"3081a0300d06092a864886f70d010101050003818e30818b02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f00000203"
+ "010001",
// appending null value
"3081a1300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "00010500",
"3081a1300f06092a864886f70d0101010500050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300f060b2a864886f70d0101010500050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300f06092a864886f70d0101010502050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300d06092a864886f70d010101050003818f0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "00010500",
"3081a0300d06092a864886f70d010101050003818e30818b02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "010500",
"3081a0300d06092a864886f70d010101050003818e30818b02818300ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f05000203"
+ "010001",
"3081a0300d06092a864886f70d010101050003818e30818b02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02050100"
+ "010500",
// including garbage
"3081a4498030819f300d06092a864886f70d010101050003818d003081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a4250030819f300d06092a864886f70d010101050003818d003081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a230819f300d06092a864886f70d010101050003818d0030818902818100"
+ "ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9"
+ "8590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26"
+ "c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6feb"
+ "e1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f"
+ "02030100010004deadbeef",
"3081a330114980300d06092a864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a330112500300d06092a864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a7300f300d06092a864886f70d01010105000004deadbeef03818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a33011260d498006092a864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a33011260d250006092a864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a73015260b06092a864886f70d0101010004deadbeef050003818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a3301106092a864886f70d01010125044980050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a3301106092a864886f70d01010125042500050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a7301506092a864886f70d010101250205000004deadbeef03818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a4300d06092a864886f70d0101010500238192498003818d003081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a4300d06092a864886f70d0101010500238192250003818d003081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a8300d06092a864886f70d010101050023819003818d0030818902818100"
+ "ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9"
+ "8590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26"
+ "c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6feb"
+ "e1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f"
+ "02030100010004deadbeef",
"3081a3300d06092a864886f70d010101050003819130818e4980308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a3300d06092a864886f70d010101050003819130818e2500308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a7300d06092a864886f70d010101050003819530818c30818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "030100010004deadbeef",
"3081a3300d06092a864886f70d010101050003819130818e2281864980028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a3300d06092a864886f70d010101050003819130818e2281862500028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a7300d06092a864886f70d010101050003819530819222818402818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f00"
+ "04deadbeef0203010001",
"3081a2300d06092a864886f70d010101050003819030818d02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f22074980"
+ "0203010001",
"3081a2300d06092a864886f70d010101050003819030818d02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f22072500"
+ "0203010001",
"3081a6300d06092a864886f70d010101050003819430819102818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f22050203"
+ "0100010004deadbeef",
// including undefined tags
"3081a8aa00bb00cd0030819f300d06092a864886f70d010101050003818d0030"
+ "818902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c5410"
+ "0cb6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4"
+ "d0f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984"
+ "b562517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315ac"
+ "f9a0b351a23f0203010001",
"3081a6aa02aabb30819f300d06092a864886f70d010101050003818d00308189"
+ "02818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6"
+ "e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f1"
+ "09fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562"
+ "517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0"
+ "b351a23f0203010001",
"3081a73015aa00bb00cd00300d06092a864886f70d010101050003818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a53013aa02aabb300d06092a864886f70d010101050003818d0030818902"
+ "818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1"
+ "d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109"
+ "fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b56251"
+ "7e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b3"
+ "51a23f0203010001",
"3081a730152611aa00bb00cd0006092a864886f70d010101050003818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a53013260faa02aabb06092a864886f70d010101050003818d0030818902"
+ "818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1"
+ "d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109"
+ "fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b56251"
+ "7e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b3"
+ "51a23f0203010001",
"3081a7301506092a864886f70d0101012508aa00bb00cd00050003818d003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a5301306092a864886f70d0101012506aa02aabb050003818d0030818902"
+ "818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1"
+ "d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109"
+ "fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b56251"
+ "7e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b3"
+ "51a23f0203010001",
"3081a8300d06092a864886f70d0101010500238196aa00bb00cd0003818d0030"
+ "818902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c5410"
+ "0cb6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4"
+ "d0f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984"
+ "b562517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315ac"
+ "f9a0b351a23f0203010001",
"3081a6300d06092a864886f70d0101010500238194aa02aabb03818d00308189"
+ "02818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6"
+ "e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f1"
+ "09fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562"
+ "517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0"
+ "b351a23f0203010001",
"3081a7300d06092a864886f70d0101010500038195308192aa00bb00cd003081"
+ "8902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a5300d06092a864886f70d0101010500038193308190aa02aabb30818902"
+ "818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1"
+ "d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109"
+ "fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b56251"
+ "7e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b3"
+ "51a23f0203010001",
"3081a7300d06092a864886f70d010101050003819530819222818aaa00bb00cd"
+ "0002818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100c"
+ "b6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0"
+ "f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b5"
+ "62517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9"
+ "a0b351a23f0203010001",
"3081a5300d06092a864886f70d0101010500038193308190228188aa02aabb02"
+ "818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1"
+ "d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109"
+ "fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b56251"
+ "7e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b3"
+ "51a23f0203010001",
"3081a6300d06092a864886f70d010101050003819430819102818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f220baa00"
+ "bb00cd000203010001",
"3081a4300d06092a864886f70d010101050003819230818f02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f2209aa02"
+ "aabb0203010001",
// changing tag value
"2e819f300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"32819f300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"ff819f300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f2e0d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f320d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819fff0d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d04092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d08092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300dff092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d010101030003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d010101070003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d010101ff0003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d010101050001818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d010101050005818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d0101010500ff818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819e300d06092a864886f70d010101050003818c2e818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c32818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300d06092a864886f70d010101050003818cff818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c30818900818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c30818904818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c308189ff818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f00030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f04030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23fff030100"
+ "01",
// dropping value of sequence
"3000",
"308192300003818d0030818902818100ab9014dc47d44b6d260fc1fef9ab0220"
+ "42fd9566e9d7b60c54100cb6e1d4edc98590467d0502c17fce69d00ac5efb40b"
+ "2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236ff517cf84412e173679cfa"
+ "e42e043b6fec81f9d984b562517e6febe1f72295dbc3fdfc19d3240aa7551556"
+ "3f31dad83563f3a315acf9a0b351a23f0203010001",
// using composition
"3081a430013030819e0d06092a864886f70d010101050003818d003081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a33011300106300c092a864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a33011260d06012a0608864886f70d010101050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a4300d06092a864886f70d010101050023819203010003818c3081890281"
+ "8100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4"
+ "edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb"
+ "5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e"
+ "6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351"
+ "a23f0203010001",
"3081a3300d06092a864886f70d010101050003819130818e3001023081888181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a3300d06092a864886f70d010101050003819130818e2281860201000281"
+ "80ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
"3081a2300d06092a864886f70d010101050003819030818d02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f22070201"
+ "0102020001",
// truncate sequence
"30819e300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "00",
"30819e0d06092a864886f70d010101050003818d0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300c06092a864886f70d0101010503818d0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300c092a864886f70d010101050003818d0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819d300d06092a864886f70d010101050003818b30818802818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100",
"30819d300d06092a864886f70d010101050003818b308188818100ab9014dc47"
+ "d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d05"
+ "02c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236"
+ "ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295db"
+ "c3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203010001",
// prepend empty sequence
"3081a13000300d06092a864886f70d010101050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300f300006092a864886f70d010101050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a0300d06092a864886f70d010101050003818e30818b300002818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
// append empty sequence
"3081a1300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "00013000",
"3081a1300f06092a864886f70d0101010500300003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a0300d06092a864886f70d010101050003818e30818b02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "013000",
// sequence of sequence
"3081a230819f300d06092a864886f70d010101050003818d0030818902818100"
+ "ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9"
+ "8590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26"
+ "c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6feb"
+ "e1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f"
+ "0203010001",
"3081a1300f300d06092a864886f70d010101050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
"3081a1300d06092a864886f70d010101050003818f30818c30818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
// truncated sequence
"300f300d06092a864886f70d0101010500",
"30819d300b06092a864886f70d01010103818d0030818902818100ab9014dc47"
+ "d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d05"
+ "02c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236"
+ "ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295db"
+ "c3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203010001",
"308199300d06092a864886f70d010101050003818730818402818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f",
// repeat element in sequence
"3082012f300d06092a864886f70d010101050003818d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "01000103818d0030818902818100ab9014dc47d44b6d260fc1fef9ab022042fd"
+ "9566e9d7b60c54100cb6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb1"
+ "67d8a44ab93d73c4d0f109fb5a26c2f8823236ff517cf84412e173679cfae42e"
+ "043b6fec81f9d984b562517e6febe1f72295dbc3fdfc19d3240aa75515563f31"
+ "dad83563f3a315acf9a0b351a23f0203010001",
"3081a3300d06092a864886f70d010101050003819130818e02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "010203010001",
// long form encoding of length
"3081a030810d06092a864886f70d010101050003818d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
"3081a0300e0681092a864886f70d010101050003818d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
"3081a0300e06092a864886f70d01010105810003818d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
"30819f300d06092a864886f70d010101050003818d30818a02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02810301"
+ "0001",
// removing oid
"3081943002050003818d0030818902818100ab9014dc47d44b6d260fc1fef9ab"
+ "022042fd9566e9d7b60c54100cb6e1d4edc98590467d0502c17fce69d00ac5ef"
+ "b40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236ff517cf84412e17367"
+ "9cfae42e043b6fec81f9d984b562517e6febe1f72295dbc3fdfc19d3240aa755"
+ "15563f31dad83563f3a315acf9a0b351a23f0203010001",
// appending 0's to oid
"3081a1300f060b2a864886f70d0101010000050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
// prepending 0's to oid
"3081a1300f060b00002a864886f70d010101050003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
// dropping value of oid
"30819630040600050003818d0030818902818100ab9014dc47d44b6d260fc1fe"
+ "f9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d0502c17fce69d00a"
+ "c5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236ff517cf84412e1"
+ "73679cfae42e043b6fec81f9d984b562517e6febe1f72295dbc3fdfc19d3240a"
+ "a75515563f31dad83563f3a315acf9a0b351a23f0203010001",
// modify first byte of oid
"30819f300d06092b864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
// modify last byte of oid
"30819f300d06092a864886f70d010100050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
// truncate oid
"30819e300c06082a864886f70d0101050003818d0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300c0608864886f70d010101050003818d0030818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
// wrong oid
"30819b300906052b0e03021a050003818d0030818902818100ab9014dc47d44b"
+ "6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d0502c1"
+ "7fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236ff51"
+ "7cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295dbc3fd"
+ "fc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203010001",
"30819f300d0609608648016503040201050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
// longer oid
"3081a0300e060a2a864886f70d01010101050003818d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
// oid with modified node
"30819f300d06092a864886f70d010111050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"3081a33011060d2a864886f70d01018880808001050003818d00308189028181"
+ "00ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4ed"
+ "c98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a"
+ "26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6f"
+ "ebe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a2"
+ "3f0203010001",
// large integer in oid
"3081a8301606122a864886f70d010182808080808080808001050003818d0030"
+ "818902818100ab9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c5410"
+ "0cb6e1d4edc98590467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4"
+ "d0f109fb5a26c2f8823236ff517cf84412e173679cfae42e043b6fec81f9d984"
+ "b562517e6febe1f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315ac"
+ "f9a0b351a23f0203010001",
// oid with invalid node
"3081a0300e060a2a864886f70d010101e0050003818d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
"3081a0300e060a2a80864886f70d010101050003818d0030818902818100ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
// appending 0's to null
"3081a1300f06092a864886f70d0101010502000003818d0030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
// appending 0's to bit string
"3081a1300d06092a864886f70d010101050003818f0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "00010000",
// prepending 0's to bit string
"3081a1300d06092a864886f70d010101050003818f00000030818902818100ab"
+ "9014dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc985"
+ "90467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2"
+ "f8823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1"
+ "f72295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02"
+ "03010001",
// modify first byte of bit string
"30819f300d06092a864886f70d010101050003818d0130818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
// modify last byte of bit string
"30819f300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0000",
// truncate bit string
"30819e300d06092a864886f70d010101050003818c0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "00",
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
// removing integer
"3018300d06092a864886f70d0101010500030730050203010001",
// appending 0's to integer
"3081a0300d06092a864886f70d010101050003818e30818b02818300ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f00000203"
+ "010001",
"3081a0300d06092a864886f70d010101050003818e30818b02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02050100"
+ "010000",
// prepending 0's to integer
"3081a0300d06092a864886f70d010101050003818e30818b028183000000ab90"
+ "14dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590"
+ "467d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8"
+ "823236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f7"
+ "2295dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203"
+ "010001",
"3081a0300d06092a864886f70d010101050003818e30818b02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02050000"
+ "010001",
// dropping value of integer
"301a300d06092a864886f70d01010105000309300702000203010001",
"30819b300d06092a864886f70d010101050003818930818602818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0200",
// modify first byte of integer
"30819e300d06092a864886f70d010101050003818c30818902818101ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030000"
+ "01",
// modify last byte of integer
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23e02030100"
+ "01",
"30819e300d06092a864886f70d010101050003818c30818902818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02030100"
+ "00",
// truncate integer
"30819d300d06092a864886f70d010101050003818b30818802818000ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a20203010001",
"30819d300d06092a864886f70d010101050003818b308188028180ab9014dc47"
+ "d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d05"
+ "02c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f8823236"
+ "ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295db"
+ "c3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203010001",
"30819d300d06092a864886f70d010101050003818b30818802818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02020100",
"30819d300d06092a864886f70d010101050003818b30818802818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f02020001",
// leading ff in integer
"30819f300d06092a864886f70d010101050003818d30818a028182ff00ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020301"
+ "0001",
"30819f300d06092a864886f70d010101050003818d30818a02818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0204ff01"
+ "0001",
// infinity
"301b300d06092a864886f70d0101010500030a30080901800203010001",
"30819c300d06092a864886f70d010101050003818a30818702818100ab9014dc"
+ "47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc98590467d"
+ "0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f88232"
+ "36ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f72295"
+ "dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f090180",
// n=0
"301c300d06092a864886f70d0101010500030b0030080201000203010001",
// negative n
"30819f300d06092a864886f70d010101050003818d00308189028181ff546feb"
+ "23b82bb492d9f03e010654fddfbd026a99162849f3abeff3491e2b12367a6fb9"
+ "82fafd3e8031962ff53a104bf4d34e98275bb546c28c3b2f0ef604a5d93d077d"
+ "cdc900ae8307bbed1e8c9863051bd1fbc490137e06267b4a9dae8190141e08dd"
+ "6a243c0203e62cdbf558aaeaa9c0ce2527ca9c0c5cea53065f4cae5dc1020301"
+ "0001",
// e=0
"30819d300d06092a864886f70d010101050003818b0030818702818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020100",
// e=1
"30819d300d06092a864886f70d010101050003818b0030818702818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020101",
// e=2
"30819d300d06092a864886f70d010101050003818b0030818702818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f020102",
// negative e
"30819f300d06092a864886f70d010101050003818d0030818902818100ab9014"
+ "dc47d44b6d260fc1fef9ab022042fd9566e9d7b60c54100cb6e1d4edc9859046"
+ "7d0502c17fce69d00ac5efb40b2cb167d8a44ab93d73c4d0f109fb5a26c2f882"
+ "3236ff517cf84412e173679cfae42e043b6fec81f9d984b562517e6febe1f722"
+ "95dbc3fdfc19d3240aa75515563f31dad83563f3a315acf9a0b351a23f0203fe"
+ "ffff",
};
private void checkPrivateCrtKey(RSAPrivateCrtKey key, int expectedKeySize) throws Exception {
BigInteger p = key.getPrimeP();
BigInteger q = key.getPrimeQ();
BigInteger n = key.getModulus();
BigInteger e = key.getPublicExponent();
BigInteger d = key.getPrivateExponent();
BigInteger dp = key.getPrimeExponentP();
BigInteger dq = key.getPrimeExponentQ();
BigInteger crtCoeff = key.getCrtCoefficient();
// Simple test that (n,d,e) is a valid RSA key.
assertEquals(n, p.multiply(q));
assertEquals(expectedKeySize, n.bitLength());
int certainty = 80;
assertTrue(p.isProbablePrime(certainty));
assertTrue(q.isProbablePrime(certainty));
// Very simple checks for weak random number generators.
RandomUtil.checkPrime(p);
RandomUtil.checkPrime(q);
assertTrue(d.bitLength() > expectedKeySize / 2);
// TODO(bleichen): Keys that are very imbalanced can be broken with elliptic curve factoring.
// Add other checks. E.g. for the size of dp and dq
assertTrue(p.bitLength() > 256);
assertTrue(q.bitLength() > 256);
BigInteger p1 = p.subtract(BigInteger.ONE);
BigInteger q1 = q.subtract(BigInteger.ONE);
BigInteger phi = p1.multiply(q1);
BigInteger order = phi.divide(p1.gcd(q1)); // maximal order of elements
assertEquals(BigInteger.ONE, d.multiply(e).mod(order));
assertEquals(d.mod(p1), dp.mod(p1));
assertEquals(d.mod(q1), dq.mod(q1));
assertEquals(q.multiply(crtCoeff).mod(p), BigInteger.ONE);
}
private void checkPublicKey(RSAPublicKey pub, RSAPrivateKey priv) {
assertEquals(pub.getModulus(), priv.getModulus());
BigInteger e = pub.getPublicExponent();
// Checks that e > 1. [CVE-1999-1444]
assertEquals(e.compareTo(BigInteger.ONE), 1);
}
private void checkKeyPair(KeyPair keypair, int keySizeInBits) throws Exception {
RSAPublicKey pub = (RSAPublicKey) keypair.getPublic();
RSAPrivateKey priv = (RSAPrivateKey) keypair.getPrivate();
if (priv instanceof RSAPrivateCrtKey) {
checkPrivateCrtKey((RSAPrivateCrtKey) priv, keySizeInBits);
} else {
// Using a CRT key leads to 6-7 times better performance than not using the CRT.
// Such a perfomance loss makes a library almost useless. Thus we consider this
// a bug.
fail("Expecting an RSAPrivateCrtKey instead of " + priv.getClass().getName());
}
checkPublicKey(pub, priv);
}
public void testKeyGenerationSize(int keySizeInBits) throws Exception {
KeyPairGenerator keyGen = KeyPairGenerator.getInstance("RSA");
keyGen.initialize(keySizeInBits);
KeyPair keypair = keyGen.genKeyPair();
checkKeyPair(keypair, keySizeInBits);
}
public void testKeyGeneration() throws Exception {
testKeyGenerationSize(1024);
testKeyGenerationSize(2048);
}
/**
* Checks whether decoding and again encoding an RSA public key results
* in the same encoding.
* This is a regression test. Failing this test implies that the encoding has changed.
* Such a failure does not need to be a bug, since several encoding for the same key are
* possible.
*/
public void testEncodeDecodePublic() throws Exception {
KeyFactory kf = KeyFactory.getInstance("RSA");
byte[] encoded = TestUtil.hexToBytes(ENCODED_PUBLIC_KEY);
X509EncodedKeySpec spec = new X509EncodedKeySpec(encoded);
RSAPublicKey pub = (RSAPublicKey) kf.generatePublic(spec);
assertEquals("The test assumes that the public key is in X.509 format",
"X.509", pub.getFormat());
assertEquals(ENCODED_PUBLIC_KEY, TestUtil.bytesToHex(pub.getEncoded()));
}
/**
* Parses a list of modified encodings of an RSA public key.
* Expects that any modification either results in an InvalidKeySpecException
* or an altered PublicKey.
* This test has mostly "defense in depth" characteristic, since applications should
* never accept unauthenticated public keys.
*/
public void testModifiedPublicKeyDecoding() throws Exception {
KeyFactory kf = KeyFactory.getInstance("RSA");
int cnt = 0;
for (String encoded : MODIFIED_PUBLIC_KEY) {
X509EncodedKeySpec spec = new X509EncodedKeySpec(TestUtil.hexToBytes(encoded));
try {
RSAPublicKey unusedKey = (RSAPublicKey) kf.generatePublic(spec);
// TODO(bleichen): check the keys that are accepted.
// To decide whether a key should have been rejected or not the test vectors must be
// divided into several categories:
// - keys that use BER encoding: these are OK
// - keys that include additional fields or garbage: might be OK
// - keys where the modification does not change the values: are probably OK
// - keys with missing parameters: should be rejected
// - keys with impossible values (negative n, negative e): should be rejected.
} catch (InvalidKeySpecException ex) {
// expected
} catch (Exception ex) {
System.out.println("generatePublic throws:" + ex.getMessage() + " for " + encoded);
cnt++;
}
}
assertEquals(0, cnt);
}
// TODO(bleichen): This test is only needed as long as there are open issues.
}