/* * JBoss, Home of Professional Open Source. * Copyright 2015 Red Hat, Inc., and individual contributors * as indicated by the @author tags. * * 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 org.wildfly.security.sasl.otp; import static org.wildfly.security._private.ElytronMessages.log; import static org.wildfly.security.password.interfaces.OneTimePassword.*; import static org.wildfly.security.sasl.otp.OTP.*; import java.nio.charset.StandardCharsets; import java.security.MessageDigest; import java.security.NoSuchAlgorithmException; import java.util.Arrays; import java.util.Locale; import java.util.Random; import javax.security.sasl.SaslException; import org.wildfly.security.sasl.util.SaslMechanismInformation; import org.wildfly.security.util.ByteIterator; import org.wildfly.security.util.ByteStringBuilder; import org.wildfly.security.util.CodePointIterator; /** * @author <a href="mailto:fjuma@redhat.com">Farah Juma</a> */ class OTPUtil { public static final int[] DELIMS = new int[] {'\n', '\r', '\t', ' '}; public static final String[] RESPONSE_TYPES = new String[] { WORD_RESPONSE, INIT_WORD_RESPONSE, HEX_RESPONSE, INIT_HEX_RESPONSE }; public static final String[] PASSWORD_FORMAT_TYPES = new String[] { PASS_PHRASE, DIRECT_OTP }; private static final int FOUR_LETTER_WORDS_OFFSET = 571; private static final byte[] randomCharDictionary; static { byte[] dict = new byte[36]; int i = 0; for (byte c = 'a'; c <= 'z'; c ++) { dict[i ++] = c; } for (byte c = '0'; c <= '9'; c ++) { dict[i ++] = c; } assert i == dict.length; randomCharDictionary = dict; } /** * Generate a 64-bit OTP as specified in <a href="https://tools.ietf.org/html/rfc2289">RFC 2289</a>. * * @param algorithm the OTP algorithm, must be either "otp-md5" or "otp-sha1" * @param passPhrase the pass phrase, as a byte array * @param seed the seed, as a byte array * @param sequenceNumber the number of times the hash function will be applied * @return the 64-bit OTP hash * @throws SaslException if the given OTP algorithm is invalid */ public static byte[] generateOTP(String algorithm, byte[] passPhrase, byte[] seed, int sequenceNumber) throws SaslException { final MessageDigest messageDigest; try { messageDigest = getMessageDigest(algorithm); } catch (NoSuchAlgorithmException e) { throw log.mechInvalidOTPAlgorithm(algorithm).toSaslException(); } // Initial step final ByteStringBuilder seedAndPassPhrase = new ByteStringBuilder(); seedAndPassPhrase.append(seed); seedAndPassPhrase.append(passPhrase); byte[] hash = hashAndFold(algorithm, messageDigest, seedAndPassPhrase.toArray()); // Computation step for (int i = 0; i < sequenceNumber; i++) { messageDigest.reset(); hash = hashAndFold(algorithm, messageDigest, hash); } return hash; } /** * Generate a 64-bit OTP as specified in <a href="https://tools.ietf.org/html/rfc2289">RFC 2289</a>. * * @param algorithm the OTP algorithm, must be either "otp-md5" or "otp-sha1" * @param passPhrase the pass phrase * @param seed the seed * @param sequenceNumber the number of times the hash function will be applied * @return the 64-bit OTP hash * @throws SaslException if the given OTP algorithm is invalid */ public static byte[] generateOTP(String algorithm, String passPhrase, String seed, int sequenceNumber) throws SaslException { return generateOTP(algorithm, passPhrase.getBytes(StandardCharsets.UTF_8), seed.toLowerCase(Locale.ENGLISH).getBytes(StandardCharsets.US_ASCII), sequenceNumber); } /** * Pass the given input through a hash function and fold the result to 64 bits. * * @param algorithm the OTP algorithm, must be either "otp-md5" or "otp-sha1" * @param messageDigest the {@code MessageDigest} to use when generating the hash * @param input the data to hash * @return the folded hash */ public static byte[] hashAndFold(String algorithm, MessageDigest messageDigest, byte[] input) { messageDigest.update(input); byte[] result = messageDigest.digest(); byte[] hash = new byte[OTP_HASH_SIZE]; // Fold the result (either 128 bits for MD5 or 160 bits for SHA-1) to 64 bits for (int i = OTP_HASH_SIZE; i < result.length; i++) { result[i % OTP_HASH_SIZE] ^= result[i]; } System.arraycopy(result, 0, hash, 0, OTP_HASH_SIZE); if (algorithm.equals(ALGORITHM_OTP_SHA1)) { reverse(hash, 0, 4); reverse(hash, 4, 4); } return hash; } /** * Pass the given input through a hash function and fold the result to 64 bits. * * @param algorithm the OTP algorithm * @param input the data to hash * @return the folded hash * @throws SaslException if the given OTP algorithm is invalid */ public static byte[] hashAndFold(String algorithm, byte[] input) throws SaslException { final MessageDigest messageDigest; try { messageDigest = getMessageDigest(algorithm); } catch (NoSuchAlgorithmException e) { throw log.mechInvalidOTPAlgorithm(algorithm).toSaslException(); } return hashAndFold(algorithm, messageDigest, input); } /** * Convert the given OTP hash into hexadecimal format. * * @param otp the OTP hash * @return the hexadecimal value that corresponds to the given OTP hash */ public static String convertToHex(byte[] otp) { return ByteIterator.ofBytes(otp).hexEncode().drainToString(); } /** * Convert the given hexadecimal OTP value into a hash. * * @param otp the OTP in hexadecimal format * @return the OTP hash that corresponds to the given hexadecimal value * @throws SaslException if an error occurs while parsing the hexadecimal value */ public static byte[] convertFromHex(String otp) throws SaslException { final CodePointIterator cpi = CodePointIterator.ofString(otp); final CodePointIterator di = cpi.delimitedBy(DELIMS); // Remove any white space final StringBuilder sb = new StringBuilder(); while (di.hasNext()) { di.drainTo(sb); skipDelims(di, cpi); } return CodePointIterator.ofString(sb.toString()).hexDecode().drain(); } /** * Convert the given OTP hash into a sequence of six words. * * @param otp the OTP hash * @param alternateDictionary the alternate dictionary to use (if {@code null}, the standard OTP dictionary will be used) * @return the sequence of six words that corresponds to the given OTP hash */ public static String convertToWords(byte[] otp, String[] alternateDictionary) { final StringBuilder words = new StringBuilder(); long otpValue = eightBytesToLong(otp); for (int i = 0; i < 6; i++) { words.append(getWord(otpValue, i, alternateDictionary)); if (i != 5) { words.append(' '); } } return words.toString(); } /** * Convert the given OTP hash into the specified format. * * @param otp the OTP hash * @param responseType the response type * @param alternateDictionary the alternate dictionary to use (if {@code null}, the standard OTP dictionary will be used) * @return the formatted OTP * @throws SaslException if the response type is invalid */ public static String formatOTP(byte[] otp, String responseType, String[] alternateDictionary) throws SaslException { switch (responseType) { case HEX_RESPONSE: case INIT_HEX_RESPONSE: { return convertToHex(otp); } case WORD_RESPONSE: case INIT_WORD_RESPONSE: { return convertToWords(otp, alternateDictionary); } default: throw log.mechInvalidOTPResponseType().toSaslException(); } } /** * Convert the given six words into an OTP hash. * * @param words the OTP formatted as a sequence of six words * @param algorithm the OTP algorithm * @return the OTP hash that corresponds to the given sequence of six words * @throws SaslException if the given algorithm is invalid or if the parity encoded in the * last two bits of the final word is incorrect or if an error occurs while parsing the words */ public static byte[] convertFromWords(String words, String algorithm) throws SaslException { final CodePointIterator cpi = CodePointIterator.ofString(words); final CodePointIterator di = cpi.delimitedBy(DELIMS); final MessageDigest messageDigest; int dictionaryIndex = -1; long otpValue = 0L; int parity; String word; byte[] result; boolean useStandardDictionary = true; try { messageDigest = getMessageDigest(algorithm); } catch (NoSuchAlgorithmException e) { throw log.mechInvalidOTPAlgorithm(algorithm).toSaslException(); } for (int i = 0; i < 6; i++) { word = di.drainToString(); if (useStandardDictionary) { dictionaryIndex = searchStandardDictionary(word); if (dictionaryIndex < 0) { if (i == 0) { // The first word could not be found, switch to using an alternate dictionary instead useStandardDictionary = false; } else { throw log.mechInvalidOTP().toSaslException(); } } } if (! useStandardDictionary) { // Alternate dictionaries must satisfy the following property: // alg(word) % 2048 = N (where N is the position of the word in the dictionary) result = hashAndFold(algorithm, messageDigest, word.getBytes(StandardCharsets.UTF_8)); dictionaryIndex = ((result[result.length - 2] & 0x7) << 8) | (result[result.length - 1] & 0xff); messageDigest.reset(); } skipDelims(di, cpi); if (i < 5) { otpValue |= (((long) dictionaryIndex) << (53 - (11 * i))); } else { otpValue |= ((((long) dictionaryIndex) & 0x7fc) >> 2); parity = dictionaryIndex & 0x3; if (parity != calculateParity(otpValue)) { throw log.mechIncorrectParity(SaslMechanismInformation.Names.OTP).toSaslException(); } } } return longToEightBytes(otpValue); } /** * Search the standard OTP dictionary for the given word. * * @param word the word to search for * @return the index of the word if it is found and a value less than 0 otherwise */ private static int searchStandardDictionary(String word) { if (word.length() < 4) { return Arrays.binarySearch(STANDARD_DICTIONARY, 0, FOUR_LETTER_WORDS_OFFSET, word.toUpperCase(Locale.ENGLISH)); } else { return Arrays.binarySearch(STANDARD_DICTIONARY, FOUR_LETTER_WORDS_OFFSET, STANDARD_DICTIONARY.length, word.toUpperCase(Locale.ENGLISH)); } } /** * Get the word from the dictionary that corresponds to the given index for * the given OTP hash. * * @param otp the OTP hash * @param index the index of the word to obtain, must be between 0 and 5 (inclusive) * @param alternateDictionary the alternate dictionary to use (if {@code null}, the standard OTP dictionary will be used) * @return the word that corresponds to the given index for the given OTP hash */ private static String getWord(long otp, int index, String[] alternateDictionary) { int dictionaryIndex; if ((index >= 0) && (index < 5)) { dictionaryIndex = (int) ((otp >> (53 - (11 * index))) & 0x7ff); } else if (index == 5) { dictionaryIndex = (int) ((((otp << 2) & 0x7fc) | calculateParity(otp)) & 0x7ff); } else { throw new IllegalArgumentException(); } if (alternateDictionary != null) { return alternateDictionary[dictionaryIndex]; } else { return STANDARD_DICTIONARY[dictionaryIndex]; } } /** * Break down the given hash into pairs of bits and then calculate the sum of the pairs. * * @param hash the hash * @return the two least significant bits of the sum of the pairs of bits from the given hash */ private static int calculateParity(long hash) { int parity = 0; for (int i = 0; i < 64; i += 2) { parity += (hash & 0x3); hash >>= 2; } return (parity & 0x3); } public static int getResponseTypeChoiceIndex(String responseType) throws SaslException { switch (responseType) { case WORD_RESPONSE: return 0; case INIT_WORD_RESPONSE: return 1; case HEX_RESPONSE: return 2; case INIT_HEX_RESPONSE: return 3; default: throw log.mechInvalidOTPResponseType().toSaslException(); } } public static int getPasswordFormatTypeChoiceIndex(String passwordFormatType) throws SaslException { switch (passwordFormatType) { case PASS_PHRASE: return 0; case DIRECT_OTP: return 1; default: throw log.mechInvalidOTPPasswordFormatType().toSaslException(); } } public static MessageDigest getMessageDigest(String algorithm) throws NoSuchAlgorithmException { switch (algorithm) { case ALGORITHM_OTP_MD5: return MessageDigest.getInstance(MD5); case ALGORITHM_OTP_SHA1: return MessageDigest.getInstance(SHA1); default: throw new NoSuchAlgorithmException(); } } public static String messageDigestAlgorithm(String algorithm) throws NoSuchAlgorithmException { switch (algorithm) { case ALGORITHM_OTP_MD5: return MD5; case ALGORITHM_OTP_SHA1: return SHA1; default: throw new NoSuchAlgorithmException(); } } public static void validateAlternateDictionary(String[] dictionary) throws SaslException { if ((dictionary == null) || (dictionary.length != DICTIONARY_SIZE)) { throw log.mechInvalidOTPAlternateDictionary().toSaslException(); } for (int i = 0; i < dictionary.length; i++) { if (searchStandardDictionary(dictionary[i]) >= 0) { throw log.mechInvalidOTPAlternateDictionary().toSaslException(); } } } public static void validateUserName(String userName) throws SaslException { if (userName == null) { throw log.mechNoLoginNameGiven(SaslMechanismInformation.Names.OTP).toSaslException(); } else if (userName.length() > MAX_AUTHENTICATION_ID_LENGTH) { throw log.mechAuthenticationNameTooLong(SaslMechanismInformation.Names.OTP).toSaslException(); } else if (userName.isEmpty()) { throw log.mechAuthenticationNameIsEmpty(SaslMechanismInformation.Names.OTP).toSaslException(); } } public static void validateAuthorizationId(String authorizationId) throws SaslException { if ((authorizationId != null) && (authorizationId.length() > MAX_AUTHORIZATION_ID_LENGTH)) { throw log.mechAuthorizationIdTooLong(SaslMechanismInformation.Names.OTP).toSaslException(); } } public static void validateAlgorithm(String algorithm) throws SaslException { if ((! algorithm.equals(ALGORITHM_OTP_MD5)) && (! algorithm.equals(ALGORITHM_OTP_SHA1))) { throw log.mechInvalidOTPAlgorithm(algorithm).toSaslException(); } } public static void validateSequenceNumber(int sequenceNumber) throws SaslException { if (sequenceNumber < 1) { throw log.mechInvalidOTPSequenceNumber().toSaslException(); } } public static void validateSeed(String seed) throws SaslException { if ((seed.length() < MIN_SEED_LENGTH) || (seed.length() > MAX_SEED_LENGTH)) { throw log.mechInvalidOTPSeed().toSaslException(); } // Must only contain alphanumeric characters for (int i = 0; i < seed.length(); i++) { if (! Character.isLetterOrDigit(seed.charAt(i))) { throw log.mechInvalidCharacterInSeed(SaslMechanismInformation.Names.OTP).toSaslException(); } } } public static void validatePassPhrase(String passPhrase) throws SaslException { if ((passPhrase == null) || (passPhrase.length() < MIN_PASS_PHRASE_LENGTH) || (passPhrase.length() > MAX_PASS_PHRASE_LENGTH)) { throw log.mechInvalidOTPPassPhrase().toSaslException(); } } public static String generateRandomAlphanumericString(int length, Random random) { final byte[] chars = new byte[length]; for (int i = 0; i < length; i ++) { chars[i] = randomCharDictionary[random.nextInt(36)]; } return new String(chars, StandardCharsets.US_ASCII); } public static void skipDelims(CodePointIterator di, CodePointIterator cpi, int...delims) throws SaslException { while ((! di.hasNext()) && cpi.hasNext()) { if (! isDelim(cpi.next(), delims)) { throw log.mechInvalidMessageReceived(SaslMechanismInformation.Names.OTP).toSaslException(); } } } public static void skipDelims(CodePointIterator di, CodePointIterator cpi) throws SaslException { skipDelims(di, cpi, DELIMS); } private static boolean isDelim(int c, int... delims) { for (int delim : delims) { if (delim == c) { return true; } } return false; } private static boolean isDelim(int c) { return isDelim(c, DELIMS); } private static void reverse(byte[] bytes, int offset, int length) { byte tmp; int mid = (length / 2) + offset; for (int i = offset, j = offset + length - 1; i < mid; i++, j--) { tmp = bytes[i]; bytes[i] = bytes[j]; bytes[j] = tmp; } } private static long eightBytesToLong(final byte[] b) { long value = 0L; for (int i = 0; i < 8; i++) { value = (value << 8) | (b[i] & 0xff); } return value; } private static byte[] longToEightBytes(final long value) { byte[] b = new byte[8]; int shift = 56; for (int i = 0; i < 8; i++) { b[i] = (byte) ((value >>> shift) & 0xff); shift -= 8; } return b; } // The standard OTP dictionary as defined in RFC 1760 (https://tools.ietf.org/html/rfc1760) private static final String[] STANDARD_DICTIONARY = new String[] {"A", "ABE", "ACE", "ACT", "AD", "ADA", "ADD", "AGO", "AID", "AIM", "AIR", "ALL", "ALP", "AM", "AMY", "AN", "ANA", "AND", "ANN", "ANT", "ANY", "APE", "APS", "APT", "ARC", "ARE", "ARK", "ARM", "ART", "AS", "ASH", "ASK", "AT", "ATE", "AUG", "AUK", "AVE", "AWE", "AWK", "AWL", "AWN", "AX", "AYE", "BAD", "BAG", "BAH", "BAM", "BAN", "BAR", "BAT", "BAY", "BE", "BED", "BEE", "BEG", "BEN", "BET", "BEY", "BIB", "BID", "BIG", "BIN", "BIT", "BOB", "BOG", "BON", "BOO", "BOP", "BOW", "BOY", "BUB", "BUD", "BUG", "BUM", "BUN", "BUS", "BUT", "BUY", "BY", "BYE", "CAB", "CAL", "CAM", "CAN", "CAP", "CAR", "CAT", "CAW", "COD", "COG", "COL", "CON", "COO", "COP", "COT", "COW", "COY", "CRY", "CUB", "CUE", "CUP", "CUR", "CUT", "DAB", "DAD", "DAM", "DAN", "DAR", "DAY", "DEE", "DEL", "DEN", "DES", "DEW", "DID", "DIE", "DIG", "DIN", "DIP", "DO", "DOE", "DOG", "DON", "DOT", "DOW", "DRY", "DUB", "DUD", "DUE", "DUG", "DUN", "EAR", "EAT", "ED", "EEL", "EGG", "EGO", "ELI", "ELK", "ELM", "ELY", "EM", "END", "EST", "ETC", "EVA", "EVE", "EWE", "EYE", "FAD", "FAN", "FAR", "FAT", "FAY", "FED", "FEE", "FEW", "FIB", "FIG", "FIN", "FIR", "FIT", "FLO", "FLY", "FOE", "FOG", "FOR", "FRY", "FUM", "FUN", "FUR", "GAB", "GAD", "GAG", "GAL", "GAM", "GAP", "GAS", "GAY", "GEE", "GEL", "GEM", "GET", "GIG", "GIL", "GIN", "GO", "GOT", "GUM", "GUN", "GUS", "GUT", "GUY", "GYM", "GYP", "HA", "HAD", "HAL", "HAM", "HAN", "HAP", "HAS", "HAT", "HAW", "HAY", "HE", "HEM", "HEN", "HER", "HEW", "HEY", "HI", "HID", "HIM", "HIP", "HIS", "HIT", "HO", "HOB", "HOC", "HOE", "HOG", "HOP", "HOT", "HOW", "HUB", "HUE", "HUG", "HUH", "HUM", "HUT", "I", "ICY", "IDA", "IF", "IKE", "ILL", "INK", "INN", "IO", "ION", "IQ", "IRA", "IRE", "IRK", "IS", "IT", "ITS", "IVY", "JAB", "JAG", "JAM", "JAN", "JAR", "JAW", "JAY", "JET", "JIG", "JIM", "JO", "JOB", "JOE", "JOG", "JOT", "JOY", "JUG", "JUT", "KAY", "KEG", "KEN", "KEY", "KID", "KIM", "KIN", "KIT", "LA", "LAB", "LAC", "LAD", "LAG", "LAM", "LAP", "LAW", "LAY", "LEA", "LED", "LEE", "LEG", "LEN", "LEO", "LET", "LEW", "LID", "LIE", "LIN", "LIP", "LIT", "LO", "LOB", "LOG", "LOP", "LOS", "LOT", "LOU", "LOW", "LOY", "LUG", "LYE", "MA", "MAC", "MAD", "MAE", "MAN", "MAO", "MAP", "MAT", "MAW", "MAY", "ME", "MEG", "MEL", "MEN", "MET", "MEW", "MID", "MIN", "MIT", "MOB", "MOD", "MOE", "MOO", "MOP", "MOS", "MOT", "MOW", "MUD", "MUG", "MUM", "MY", "NAB", "NAG", "NAN", "NAP", "NAT", "NAY", "NE", "NED", "NEE", "NET", "NEW", "NIB", "NIL", "NIP", "NIT", "NO", "NOB", "NOD", "NON", "NOR", "NOT", "NOV", "NOW", "NU", "NUN", "NUT", "O", "OAF", "OAK", "OAR", "OAT", "ODD", "ODE", "OF", "OFF", "OFT", "OH", "OIL", "OK", "OLD", "ON", "ONE", "OR", "ORB", "ORE", "ORR", "OS", "OTT", "OUR", "OUT", "OVA", "OW", "OWE", "OWL", "OWN", "OX", "PA", "PAD", "PAL", "PAM", "PAN", "PAP", "PAR", "PAT", "PAW", "PAY", "PEA", "PEG", "PEN", "PEP", "PER", "PET", "PEW", "PHI", "PI", "PIE", "PIN", "PIT", "PLY", "PO", "POD", "POE", "POP", "POT", "POW", "PRO", "PRY", "PUB", "PUG", "PUN", "PUP", "PUT", "QUO", "RAG", "RAM", "RAN", "RAP", "RAT", "RAW", "RAY", "REB", "RED", "REP", "RET", "RIB", "RID", "RIG", "RIM", "RIO", "RIP", "ROB", "ROD", "ROE", "RON", "ROT", "ROW", "ROY", "RUB", "RUE", "RUG", "RUM", "RUN", "RYE", "SAC", "SAD", "SAG", "SAL", "SAM", "SAN", "SAP", "SAT", "SAW", "SAY", "SEA", "SEC", "SEE", "SEN", "SET", "SEW", "SHE", "SHY", "SIN", "SIP", "SIR", "SIS", "SIT", "SKI", "SKY", "SLY", "SO", "SOB", "SOD", "SON", "SOP", "SOW", "SOY", "SPA", "SPY", "SUB", "SUD", "SUE", "SUM", "SUN", "SUP", "TAB", "TAD", "TAG", "TAN", "TAP", "TAR", "TEA", "TED", "TEE", "TEN", "THE", "THY", "TIC", "TIE", "TIM", "TIN", "TIP", "TO", "TOE", "TOG", "TOM", "TON", "TOO", "TOP", "TOW", "TOY", "TRY", "TUB", "TUG", "TUM", "TUN", "TWO", "UN", "UP", "US", "USE", "VAN", "VAT", "VET", "VIE", "WAD", "WAG", "WAR", "WAS", "WAY", "WE", "WEB", "WED", "WEE", "WET", "WHO", "WHY", "WIN", "WIT", "WOK", "WON", "WOO", "WOW", "WRY", "WU", "YAM", "YAP", "YAW", "YE", "YEA", "YES", "YET", "YOU", "ABED", "ABEL", "ABET", "ABLE", "ABUT", "ACHE", "ACID", "ACME", "ACRE", "ACTA", "ACTS", "ADAM", "ADDS", "ADEN", "AFAR", "AFRO", "AGEE", "AHEM", "AHOY", "AIDA", "AIDE", "AIDS", "AIRY", "AJAR", "AKIN", "ALAN", "ALEC", "ALGA", "ALIA", "ALLY", "ALMA", "ALOE", "ALSO", "ALTO", "ALUM", "ALVA", "AMEN", "AMES", "AMID", "AMMO", "AMOK", "AMOS", "AMRA", "ANDY", "ANEW", "ANNA", "ANNE", "ANTE", "ANTI", "AQUA", "ARAB", "ARCH", "AREA", "ARGO", "ARID", "ARMY", "ARTS", "ARTY", "ASIA", "ASKS", "ATOM", "AUNT", "AURA", "AUTO", "AVER", "AVID", "AVIS", "AVON", "AVOW", "AWAY", "AWRY", "BABE", "BABY", "BACH", "BACK", "BADE", "BAIL", "BAIT", "BAKE", "BALD", "BALE", "BALI", "BALK", "BALL", "BALM", "BAND", "BANE", "BANG", "BANK", "BARB", "BARD", "BARE", "BARK", "BARN", "BARR", "BASE", "BASH", "BASK", "BASS", "BATE", "BATH", "BAWD", "BAWL", "BEAD", "BEAK", "BEAM", "BEAN", "BEAR", "BEAT", "BEAU", "BECK", "BEEF", "BEEN", "BEER", "BEET", "BELA", "BELL", "BELT", "BEND", "BENT", "BERG", "BERN", "BERT", "BESS", "BEST", "BETA", "BETH", "BHOY", "BIAS", "BIDE", "BIEN", "BILE", "BILK", "BILL", "BIND", "BING", "BIRD", "BITE", "BITS", "BLAB", "BLAT", "BLED", "BLEW", "BLOB", "BLOC", "BLOT", "BLOW", "BLUE", "BLUM", "BLUR", "BOAR", "BOAT", "BOCA", "BOCK", "BODE", "BODY", "BOGY", "BOHR", "BOIL", "BOLD", "BOLO", "BOLT", "BOMB", "BONA", "BOND", "BONE", "BONG", "BONN", "BONY", "BOOK", "BOOM", "BOON", "BOOT", "BORE", "BORG", "BORN", "BOSE", "BOSS", "BOTH", "BOUT", "BOWL", "BOYD", "BRAD", "BRAE", "BRAG", "BRAN", "BRAY", "BRED", "BREW", "BRIG", "BRIM", "BROW", "BUCK", "BUDD", "BUFF", "BULB", "BULK", "BULL", "BUNK", "BUNT", "BUOY", "BURG", "BURL", "BURN", "BURR", "BURT", "BURY", "BUSH", "BUSS", "BUST", "BUSY", "BYTE", "CADY", "CAFE", "CAGE", "CAIN", "CAKE", "CALF", "CALL", "CALM", "CAME", "CANE", "CANT", "CARD", "CARE", "CARL", "CARR", "CART", "CASE", "CASH", "CASK", "CAST", "CAVE", "CEIL", "CELL", "CENT", "CERN", "CHAD", "CHAR", "CHAT", "CHAW", "CHEF", "CHEN", "CHEW", "CHIC", "CHIN", "CHOU", "CHOW", "CHUB", "CHUG", "CHUM", "CITE", "CITY", "CLAD", "CLAM", "CLAN", "CLAW", "CLAY", "CLOD", "CLOG", "CLOT", "CLUB", "CLUE", "COAL", "COAT", "COCA", "COCK", "COCO", "CODA", "CODE", "CODY", "COED", "COIL", "COIN", "COKE", "COLA", "COLD", "COLT", "COMA", "COMB", "COME", "COOK", "COOL", "COON", "COOT", "CORD", "CORE", "CORK", "CORN", "COST", "COVE", "COWL", "CRAB", "CRAG", "CRAM", "CRAY", "CREW", "CRIB", "CROW", "CRUD", "CUBA", "CUBE", "CUFF", "CULL", "CULT", "CUNY", "CURB", "CURD", "CURE", "CURL", "CURT", "CUTS", "DADE", "DALE", "DAME", "DANA", "DANE", "DANG", "DANK", "DARE", "DARK", "DARN", "DART", "DASH", "DATA", "DATE", "DAVE", "DAVY", "DAWN", "DAYS", "DEAD", "DEAF", "DEAL", "DEAN", "DEAR", "DEBT", "DECK", "DEED", "DEEM", "DEER", "DEFT", "DEFY", "DELL", "DENT", "DENY", "DESK", "DIAL", "DICE", "DIED", "DIET", "DIME", "DINE", "DING", "DINT", "DIRE", "DIRT", "DISC", "DISH", "DISK", "DIVE", "DOCK", "DOES", "DOLE", "DOLL", "DOLT", "DOME", "DONE", "DOOM", "DOOR", "DORA", "DOSE", "DOTE", "DOUG", "DOUR", "DOVE", "DOWN", "DRAB", "DRAG", "DRAM", "DRAW", "DREW", "DRUB", "DRUG", "DRUM", "DUAL", "DUCK", "DUCT", "DUEL", "DUET", "DUKE", "DULL", "DUMB", "DUNE", "DUNK", "DUSK", "DUST", "DUTY", "EACH", "EARL", "EARN", "EASE", "EAST", "EASY", "EBEN", "ECHO", "EDDY", "EDEN", "EDGE", "EDGY", "EDIT", "EDNA", "EGAN", "ELAN", "ELBA", "ELLA", "ELSE", "EMIL", "EMIT", "EMMA", "ENDS", "ERIC", "EROS", "EVEN", "EVER", "EVIL", "EYED", "FACE", "FACT", "FADE", "FAIL", "FAIN", "FAIR", "FAKE", "FALL", "FAME", "FANG", "FARM", "FAST", "FATE", "FAWN", "FEAR", "FEAT", "FEED", "FEEL", "FEET", "FELL", "FELT", "FEND", "FERN", "FEST", "FEUD", "FIEF", "FIGS", "FILE", "FILL", "FILM", "FIND", "FINE", "FINK", "FIRE", "FIRM", "FISH", "FISK", "FIST", "FITS", "FIVE", "FLAG", "FLAK", "FLAM", "FLAT", "FLAW", "FLEA", "FLED", "FLEW", "FLIT", "FLOC", "FLOG", "FLOW", "FLUB", "FLUE", "FOAL", "FOAM", "FOGY", "FOIL", "FOLD", "FOLK", "FOND", "FONT", "FOOD", "FOOL", "FOOT", "FORD", "FORE", "FORK", "FORM", "FORT", "FOSS", "FOUL", "FOUR", "FOWL", "FRAU", "FRAY", "FRED", "FREE", "FRET", "FREY", "FROG", "FROM", "FUEL", "FULL", "FUME", "FUND", "FUNK", "FURY", "FUSE", "FUSS", "GAFF", "GAGE", "GAIL", "GAIN", "GAIT", "GALA", "GALE", "GALL", "GALT", "GAME", "GANG", "GARB", "GARY", "GASH", "GATE", "GAUL", "GAUR", "GAVE", "GAWK", "GEAR", "GELD", "GENE", "GENT", "GERM", "GETS", "GIBE", "GIFT", "GILD", "GILL", "GILT", "GINA", "GIRD", "GIRL", "GIST", "GIVE", "GLAD", "GLEE", "GLEN", "GLIB", "GLOB", "GLOM", "GLOW", "GLUE", "GLUM", "GLUT", "GOAD", "GOAL", "GOAT", "GOER", "GOES", "GOLD", "GOLF", "GONE", "GONG", "GOOD", "GOOF", "GORE", "GORY", "GOSH", "GOUT", "GOWN", "GRAB", "GRAD", "GRAY", "GREG", "GREW", "GREY", "GRID", "GRIM", "GRIN", "GRIT", "GROW", "GRUB", "GULF", "GULL", "GUNK", "GURU", "GUSH", "GUST", "GWEN", "GWYN", "HAAG", "HAAS", "HACK", "HAIL", "HAIR", "HALE", "HALF", "HALL", "HALO", "HALT", "HAND", "HANG", "HANK", "HANS", "HARD", "HARK", "HARM", "HART", "HASH", "HAST", "HATE", "HATH", "HAUL", "HAVE", "HAWK", "HAYS", "HEAD", "HEAL", "HEAR", "HEAT", "HEBE", "HECK", "HEED", "HEEL", "HEFT", "HELD", "HELL", "HELM", "HERB", "HERD", "HERE", "HERO", "HERS", "HESS", "HEWN", "HICK", "HIDE", "HIGH", "HIKE", "HILL", "HILT", "HIND", "HINT", "HIRE", "HISS", "HIVE", "HOBO", "HOCK", "HOFF", "HOLD", "HOLE", "HOLM", "HOLT", "HOME", "HONE", "HONK", "HOOD", "HOOF", "HOOK", "HOOT", "HORN", "HOSE", "HOST", "HOUR", "HOVE", "HOWE", "HOWL", "HOYT", "HUCK", "HUED", "HUFF", "HUGE", "HUGH", "HUGO", "HULK", "HULL", "HUNK", "HUNT", "HURD", "HURL", "HURT", "HUSH", "HYDE", "HYMN", "IBIS", "ICON", "IDEA", "IDLE", "IFFY", "INCA", "INCH", "INTO", "IONS", "IOTA", "IOWA", "IRIS", "IRMA", "IRON", "ISLE", "ITCH", "ITEM", "IVAN", "JACK", "JADE", "JAIL", "JAKE", "JANE", "JAVA", "JEAN", "JEFF", "JERK", "JESS", "JEST", "JIBE", "JILL", "JILT", "JIVE", "JOAN", "JOBS", "JOCK", "JOEL", "JOEY", "JOHN", "JOIN", "JOKE", "JOLT", "JOVE", "JUDD", "JUDE", "JUDO", "JUDY", "JUJU", "JUKE", "JULY", "JUNE", "JUNK", "JUNO", "JURY", "JUST", "JUTE", "KAHN", "KALE", "KANE", "KANT", "KARL", "KATE", "KEEL", "KEEN", "KENO", "KENT", "KERN", "KERR", "KEYS", "KICK", "KILL", "KIND", "KING", "KIRK", "KISS", "KITE", "KLAN", "KNEE", "KNEW", "KNIT", "KNOB", "KNOT", "KNOW", "KOCH", "KONG", "KUDO", "KURD", "KURT", "KYLE", "LACE", "LACK", "LACY", "LADY", "LAID", "LAIN", "LAIR", "LAKE", "LAMB", "LAME", "LAND", "LANE", "LANG", "LARD", "LARK", "LASS", "LAST", "LATE", "LAUD", "LAVA", "LAWN", "LAWS", "LAYS", "LEAD", "LEAF", "LEAK", "LEAN", "LEAR", "LEEK", "LEER", "LEFT", "LEND", "LENS", "LENT", "LEON", "LESK", "LESS", "LEST", "LETS", "LIAR", "LICE", "LICK", "LIED", "LIEN", "LIES", "LIEU", "LIFE", "LIFT", "LIKE", "LILA", "LILT", "LILY", "LIMA", "LIMB", "LIME", "LIND", "LINE", "LINK", "LINT", "LION", "LISA", "LIST", "LIVE", "LOAD", "LOAF", "LOAM", "LOAN", "LOCK", "LOFT", "LOGE", "LOIS", "LOLA", "LONE", "LONG", "LOOK", "LOON", "LOOT", "LORD", "LORE", "LOSE", "LOSS", "LOST", "LOUD", "LOVE", "LOWE", "LUCK", "LUCY", "LUGE", "LUKE", "LULU", "LUND", "LUNG", "LURA", "LURE", "LURK", "LUSH", "LUST", "LYLE", "LYNN", "LYON", "LYRA", "MACE", "MADE", "MAGI", "MAID", "MAIL", "MAIN", "MAKE", "MALE", "MALI", "MALL", "MALT", "MANA", "MANN", "MANY", "MARC", "MARE", "MARK", "MARS", "MART", "MARY", "MASH", "MASK", "MASS", "MAST", "MATE", "MATH", "MAUL", "MAYO", "MEAD", "MEAL", "MEAN", "MEAT", "MEEK", "MEET", "MELD", "MELT", "MEMO", "MEND", "MENU", "MERT", "MESH", "MESS", "MICE", "MIKE", "MILD", "MILE", "MILK", "MILL", "MILT", "MIMI", "MIND", "MINE", "MINI", "MINK", "MINT", "MIRE", "MISS", "MIST", "MITE", "MITT", "MOAN", "MOAT", "MOCK", "MODE", "MOLD", "MOLE", "MOLL", "MOLT", "MONA", "MONK", "MONT", "MOOD", "MOON", "MOOR", "MOOT", "MORE", "MORN", "MORT", "MOSS", "MOST", "MOTH", "MOVE", "MUCH", "MUCK", "MUDD", "MUFF", "MULE", "MULL", "MURK", "MUSH", "MUST", "MUTE", "MUTT", "MYRA", "MYTH", "NAGY", "NAIL", "NAIR", "NAME", "NARY", "NASH", "NAVE", "NAVY", "NEAL", "NEAR", "NEAT", "NECK", "NEED", "NEIL", "NELL", "NEON", "NERO", "NESS", "NEST", "NEWS", "NEWT", "NIBS", "NICE", "NICK", "NILE", "NINA", "NINE", "NOAH", "NODE", "NOEL", "NOLL", "NONE", "NOOK", "NOON", "NORM", "NOSE", "NOTE", "NOUN", "NOVA", "NUDE", "NULL", "NUMB", "OATH", "OBEY", "OBOE", "ODIN", "OHIO", "OILY", "OINT", "OKAY", "OLAF", "OLDY", "OLGA", "OLIN", "OMAN", "OMEN", "OMIT", "ONCE", "ONES", "ONLY", "ONTO", "ONUS", "ORAL", "ORGY", "OSLO", "OTIS", "OTTO", "OUCH", "OUST", "OUTS", "OVAL", "OVEN", "OVER", "OWLY", "OWNS", "QUAD", "QUIT", "QUOD", "RACE", "RACK", "RACY", "RAFT", "RAGE", "RAID", "RAIL", "RAIN", "RAKE", "RANK", "RANT", "RARE", "RASH", "RATE", "RAVE", "RAYS", "READ", "REAL", "REAM", "REAR", "RECK", "REED", "REEF", "REEK", "REEL", "REID", "REIN", "RENA", "REND", "RENT", "REST", "RICE", "RICH", "RICK", "RIDE", "RIFT", "RILL", "RIME", "RING", "RINK", "RISE", "RISK", "RITE", "ROAD", "ROAM", "ROAR", "ROBE", "ROCK", "RODE", "ROIL", "ROLL", "ROME", "ROOD", "ROOF", "ROOK", "ROOM", "ROOT", "ROSA", "ROSE", "ROSS", "ROSY", "ROTH", "ROUT", "ROVE", "ROWE", "ROWS", "RUBE", "RUBY", "RUDE", "RUDY", "RUIN", "RULE", "RUNG", "RUNS", "RUNT", "RUSE", "RUSH", "RUSK", "RUSS", "RUST", "RUTH", "SACK", "SAFE", "SAGE", "SAID", "SAIL", "SALE", "SALK", "SALT", "SAME", "SAND", "SANE", "SANG", "SANK", "SARA", "SAUL", "SAVE", "SAYS", "SCAN", "SCAR", "SCAT", "SCOT", "SEAL", "SEAM", "SEAR", "SEAT", "SEED", "SEEK", "SEEM", "SEEN", "SEES", "SELF", "SELL", "SEND", "SENT", "SETS", "SEWN", "SHAG", "SHAM", "SHAW", "SHAY", "SHED", "SHIM", "SHIN", "SHOD", "SHOE", "SHOT", "SHOW", "SHUN", "SHUT", "SICK", "SIDE", "SIFT", "SIGH", "SIGN", "SILK", "SILL", "SILO", "SILT", "SINE", "SING", "SINK", "SIRE", "SITE", "SITS", "SITU", "SKAT", "SKEW", "SKID", "SKIM", "SKIN", "SKIT", "SLAB", "SLAM", "SLAT", "SLAY", "SLED", "SLEW", "SLID", "SLIM", "SLIT", "SLOB", "SLOG", "SLOT", "SLOW", "SLUG", "SLUM", "SLUR", "SMOG", "SMUG", "SNAG", "SNOB", "SNOW", "SNUB", "SNUG", "SOAK", "SOAR", "SOCK", "SODA", "SOFA", "SOFT", "SOIL", "SOLD", "SOME", "SONG", "SOON", "SOOT", "SORE", "SORT", "SOUL", "SOUR", "SOWN", "STAB", "STAG", "STAN", "STAR", "STAY", "STEM", "STEW", "STIR", "STOW", "STUB", "STUN", "SUCH", "SUDS", "SUIT", "SULK", "SUMS", "SUNG", "SUNK", "SURE", "SURF", "SWAB", "SWAG", "SWAM", "SWAN", "SWAT", "SWAY", "SWIM", "SWUM", "TACK", "TACT", "TAIL", "TAKE", "TALE", "TALK", "TALL", "TANK", "TASK", "TATE", "TAUT", "TEAL", "TEAM", "TEAR", "TECH", "TEEM", "TEEN", "TEET", "TELL", "TEND", "TENT", "TERM", "TERN", "TESS", "TEST", "THAN", "THAT", "THEE", "THEM", "THEN", "THEY", "THIN", "THIS", "THUD", "THUG", "TICK", "TIDE", "TIDY", "TIED", "TIER", "TILE", "TILL", "TILT", "TIME", "TINA", "TINE", "TINT", "TINY", "TIRE", "TOAD", "TOGO", "TOIL", "TOLD", "TOLL", "TONE", "TONG", "TONY", "TOOK", "TOOL", "TOOT", "TORE", "TORN", "TOTE", "TOUR", "TOUT", "TOWN", "TRAG", "TRAM", "TRAY", "TREE", "TREK", "TRIG", "TRIM", "TRIO", "TROD", "TROT", "TROY", "TRUE", "TUBA", "TUBE", "TUCK", "TUFT", "TUNA", "TUNE", "TUNG", "TURF", "TURN", "TUSK", "TWIG", "TWIN", "TWIT", "ULAN", "UNIT", "URGE", "USED", "USER", "USES", "UTAH", "VAIL", "VAIN", "VALE", "VARY", "VASE", "VAST", "VEAL", "VEDA", "VEIL", "VEIN", "VEND", "VENT", "VERB", "VERY", "VETO", "VICE", "VIEW", "VINE", "VISE", "VOID", "VOLT", "VOTE", "WACK", "WADE", "WAGE", "WAIL", "WAIT", "WAKE", "WALE", "WALK", "WALL", "WALT", "WAND", "WANE", "WANG", "WANT", "WARD", "WARM", "WARN", "WART", "WASH", "WAST", "WATS", "WATT", "WAVE", "WAVY", "WAYS", "WEAK", "WEAL", "WEAN", "WEAR", "WEED", "WEEK", "WEIR", "WELD", "WELL", "WELT", "WENT", "WERE", "WERT", "WEST", "WHAM", "WHAT", "WHEE", "WHEN", "WHET", "WHOA", "WHOM", "WICK", "WIFE", "WILD", "WILL", "WIND", "WINE", "WING", "WINK", "WINO", "WIRE", "WISE", "WISH", "WITH", "WOLF", "WONT", "WOOD", "WOOL", "WORD", "WORE", "WORK", "WORM", "WORN", "WOVE", "WRIT", "WYNN", "YALE", "YANG", "YANK", "YARD", "YARN", "YAWL", "YAWN", "YEAH", "YEAR", "YELL", "YOGA", "YOKE" }; }