pike.git / lib / modules / Crypto.pmod / DH.pmod

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pike.git/lib/modules/Crypto.pmod/DH.pmod:1: - #pike __REAL_VERSION__ - #pragma strict_types +     -  - //! - //! Diffie-Hellman key-exchange related stuff. - //! -  - //! Diffie-Hellman parameters. - class Parameters - { - #if constant(Nettle.DH_Params) -  inherit Nettle.DH_Params; - #else -  //! Prime. -  Gmp.mpz p; -  -  //! Generator. -  Gmp.mpz g; -  -  //! Subgroup size. -  Gmp.mpz q; -  -  // FIXME: generate(). -  -  //! Generate a Diffie-Hellman key pair. -  //! -  //! @returns -  //! Returns the following array: -  //! @array -  //! @elem Gmp.mpz 0 -  //! The generated public key. -  //! @elem Gmp.mpz 1 -  //! The corresponding private key. -  //! @endarray -  array(Gmp.mpz) generate_keypair(function(int(0..):string(8bit)) rnd) -  { -  Gmp.mpz key = [object(Gmp.mpz)] -  (Gmp.mpz(rnd([int(0..)](q->size() / 8 + 16)), 256) % (q - 1) + 1); -  -  Gmp.mpz pub = g->powm(key, p); -  -  return ({ pub, key }); -  } - #endif -  -  //! Validate that the DH Parameters doesn't have obvious security -  //! weaknesses. It will first attempt to verify the prime @[p] using -  //! Donald Knuth's probabilistic primality test with provided -  //! @[effort]. This has a chance of pow(0.25,effort) to produce a -  //! false positive. An @[effort] of 0 skipps this step. The second -  //! test verifies that @[g] is of high order. -  bool validate(int(0..) effort) -  { -  if( effort && !p->probably_prime_p(effort) ) -  return 0; -  -  Gmp.mpz qq = [object(Gmp.mpz)]((p-1)/2); -  while( int f = qq->small_factor() ) -  qq /= f; -  -  if( g->powm( [object(Gmp.mpz)]((p-1)/qq), p )==1 ) -  return 0; -  -  return 1; -  } -  -  //! Initialize the set of Diffie-Hellman parameters. -  //! -  //! @param other -  //! Copy the parameters from this object. -  protected void create(this_program other) -  { -  p = other->p; -  g = other->g; -  q = other->q; -  } -  -  //! Initialize the set of Diffie-Hellman parameters. -  //! -  //! @param dsa -  //! Copy the parameters from this object. -  protected variant void create(Crypto.DSA.State dsa) -  { -  p = dsa->get_p(); -  g = dsa->get_g(); -  q = dsa->get_q(); -  } -  -  //! Initialize the set of Diffie-Hellman parameters. -  //! -  //! @param p -  //! The prime for the group. -  //! -  //! @param g -  //! The generator for the group. Defaults to @expr{2@}. -  //! -  //! @param q -  //! The order of the group. Defaults to @expr{(p-1)/2@}. -  protected variant void create(Gmp.mpz|int p, Gmp.mpz|int|void g, -  Gmp.mpz|int|void q) -  { -  this::p = Gmp.mpz(p); -  this::g = g && Gmp.mpz(g) || Gmp.mpz(2); -  this::q = q && Gmp.mpz(q) || Gmp.mpz( [int](p-1)/2 ); -  } -  -  protected string _sprintf(int t) -  { -  if( t!='O' ) return UNDEFINED; -  mapping(string:mixed) m = mkmapping([array(string)]indices(Crypto.DH), -  values(Crypto.DH)); -  foreach(m; string id; mixed val) -  if( val==this ) return sprintf("Crypto.DH.%s", id); -  return sprintf("%O(%O, %O, %O)", this_program, p, g, q); -  } - } -  - //! MODP Group 1 (768 bit) (aka First Oakley Group (aka ORM96 group 1)). - //! - //! RFC 2409 6.1 - //! - //! @note - //! Not allowed for use with FIPS 140. - Parameters MODPGroup1 = -  /* p = 2^768 - 2 ^704 - 1 + 2^64 * floor( 2^638 Pi + 149686 ) */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1" -  "29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD" -  "EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245" -  "E485B576 625E7EC6 F44C42E9 A63A3620 FFFFFFFF FFFFFFFF", -  16)); -  - //! MODP Group 2 (1024 bit) (aka Second Oakley Group (aka ORM96 group 2)). - //! - //! RFC 2409 6.2 - //! - //! @note - //! Not allowed for use with FIPS 140. - Parameters MODPGroup2 = -  /* p = 2^1024 - 2^960 - 1 + 2^64 * floor( 2^894 Pi + 129093 ) */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1" -  "29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD" -  "EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245" -  "E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED" -  "EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE65381" -  "FFFFFFFF FFFFFFFF", 16)); -  - //! MODP Group 5 (1536 bit). - //! - //! RFC 3526 2 - //! - //! @note - //! Not allowed for use with FIPS 140. - Parameters MODPGroup5 = -  /* p = 2^1536 - 2^1472 - 1 + 2^64 * floor( 2^1406 Pi + 741804 ) */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1" -  "29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD" -  "EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245" -  "E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED" -  "EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D" -  "C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F" -  "83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D" -  "670C354E 4ABC9804 F1746C08 CA237327 FFFFFFFF FFFFFFFF", -  16)); -  - //! MODP Group 14 (2048 bit). - //! - //! RFC 3526 3 - Parameters MODPGroup14 = -  /* p = 2^2048 - 2^1984 - 1 + 2^64 * floor( 2^1918 Pi + 124476 ) */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1" -  "29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD" -  "EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245" -  "E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED" -  "EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D" -  "C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F" -  "83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D" -  "670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B" -  "E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9" -  "DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510" -  "15728E5A 8AACAA68 FFFFFFFF FFFFFFFF", 16)); -  - //! MODP Group 15 (3072 bit). - //! - //! RFC 3526 3 - Parameters MODPGroup15 = -  /* p = 2^3072 - 2^3008 - 1 + 2^64 * floor( 2^2942 Pi + 1690314 ) */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1" -  "29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD" -  "EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245" -  "E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED" -  "EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D" -  "C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F" -  "83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D" -  "670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B" -  "E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9" -  "DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510" -  "15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64" -  "ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7" -  "ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B" -  "F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C" -  "BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31" -  "43DB5BFC E0FD108E 4B82D120 A93AD2CA FFFFFFFF FFFFFFFF", -  16)); -  - //! MODP Group 16 (4096 bit). - //! - //! RFC 3526 5 - Parameters MODPGroup16 = -  /* p = 2^4096 - 2^4032 - 1 + 2^64 * floor( 2^3966 Pi + 240904 ) */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1" -  "29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD" -  "EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245" -  "E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED" -  "EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D" -  "C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F" -  "83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D" -  "670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B" -  "E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9" -  "DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510" -  "15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64" -  "ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7" -  "ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B" -  "F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C" -  "BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31" -  "43DB5BFC E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7" -  "88719A10 BDBA5B26 99C32718 6AF4E23C 1A946834 B6150BDA" -  "2583E9CA 2AD44CE8 DBBBC2DB 04DE8EF9 2E8EFC14 1FBECAA6" -  "287C5947 4E6BC05D 99B2964F A090C3A2 233BA186 515BE7ED" -  "1F612970 CEE2D7AF B81BDD76 2170481C D0069127 D5B05AA9" -  "93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34063199" -  "FFFFFFFF FFFFFFFF", 16)); -  - //! MODP Group 17 (6144 bit). - //! - //! RFC 3526 6 - Parameters MODPGroup17 = -  /* p = 2^6144 - 2^6080 - 1 + 2^64 * floor( 2^6014 Pi + 929484 ) */ -  Parameters( -  Gmp.mpz("FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08" -  "8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B" -  "302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9" -  "A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6" -  "49286651 ECE45B3D C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8" -  "FD24CF5F 83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D" -  "670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B E39E772C" -  "180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9 DE2BCBF6 95581718" -  "3995497C EA956AE5 15D22618 98FA0510 15728E5A 8AAAC42D AD33170D" -  "04507A33 A85521AB DF1CBA64 ECFB8504 58DBEF0A 8AEA7157 5D060C7D" -  "B3970F85 A6E1E4C7 ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226" -  "1AD2EE6B F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C" -  "BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31 43DB5BFC" -  "E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7 88719A10 BDBA5B26" -  "99C32718 6AF4E23C 1A946834 B6150BDA 2583E9CA 2AD44CE8 DBBBC2DB" -  "04DE8EF9 2E8EFC14 1FBECAA6 287C5947 4E6BC05D 99B2964F A090C3A2" -  "233BA186 515BE7ED 1F612970 CEE2D7AF B81BDD76 2170481C D0069127" -  "D5B05AA9 93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34028492" -  "36C3FAB4 D27C7026 C1D4DCB2 602646DE C9751E76 3DBA37BD F8FF9406" -  "AD9E530E E5DB382F 413001AE B06A53ED 9027D831 179727B0 865A8918" -  "DA3EDBEB CF9B14ED 44CE6CBA CED4BB1B DB7F1447 E6CC254B 33205151" -  "2BD7AF42 6FB8F401 378CD2BF 5983CA01 C64B92EC F032EA15 D1721D03" -  "F482D7CE 6E74FEF6 D55E702F 46980C82 B5A84031 900B1C9E 59E7C97F" -  "BEC7E8F3 23A97A7E 36CC88BE 0F1D45B7 FF585AC5 4BD407B2 2B4154AA" -  "CC8F6D7E BF48E1D8 14CC5ED2 0F8037E0 A79715EE F29BE328 06A1D58B" -  "B7C5DA76 F550AA3D 8A1FBFF0 EB19CCB1 A313D55C DA56C9EC 2EF29632" -  "387FE8D7 6E3C0468 043E8F66 3F4860EE 12BF2D5B 0B7474D6 E694F91E" -  "6DCC4024 FFFFFFFF FFFFFFFF", 16)); -  - //! MODP Group 18 (8192 bit). - //! - //! RFC 3526 7 - Parameters MODPGroup18 = -  /* p = 2^8192 - 2^8128 - 1 + 2^64 * floor( 2^8062 Pi + 4743158 ) */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1" -  "29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD" -  "EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245" -  "E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED" -  "EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE45B3D" -  "C2007CB8 A163BF05 98DA4836 1C55D39A 69163FA8 FD24CF5F" -  "83655D23 DCA3AD96 1C62F356 208552BB 9ED52907 7096966D" -  "670C354E 4ABC9804 F1746C08 CA18217C 32905E46 2E36CE3B" -  "E39E772C 180E8603 9B2783A2 EC07A28F B5C55DF0 6F4C52C9" -  "DE2BCBF6 95581718 3995497C EA956AE5 15D22618 98FA0510" -  "15728E5A 8AAAC42D AD33170D 04507A33 A85521AB DF1CBA64" -  "ECFB8504 58DBEF0A 8AEA7157 5D060C7D B3970F85 A6E1E4C7" -  "ABF5AE8C DB0933D7 1E8C94E0 4A25619D CEE3D226 1AD2EE6B" -  "F12FFA06 D98A0864 D8760273 3EC86A64 521F2B18 177B200C" -  "BBE11757 7A615D6C 770988C0 BAD946E2 08E24FA0 74E5AB31" -  "43DB5BFC E0FD108E 4B82D120 A9210801 1A723C12 A787E6D7" -  "88719A10 BDBA5B26 99C32718 6AF4E23C 1A946834 B6150BDA" -  "2583E9CA 2AD44CE8 DBBBC2DB 04DE8EF9 2E8EFC14 1FBECAA6" -  "287C5947 4E6BC05D 99B2964F A090C3A2 233BA186 515BE7ED" -  "1F612970 CEE2D7AF B81BDD76 2170481C D0069127 D5B05AA9" -  "93B4EA98 8D8FDDC1 86FFB7DC 90A6C08F 4DF435C9 34028492" -  "36C3FAB4 D27C7026 C1D4DCB2 602646DE C9751E76 3DBA37BD" -  "F8FF9406 AD9E530E E5DB382F 413001AE B06A53ED 9027D831" -  "179727B0 865A8918 DA3EDBEB CF9B14ED 44CE6CBA CED4BB1B" -  "DB7F1447 E6CC254B 33205151 2BD7AF42 6FB8F401 378CD2BF" -  "5983CA01 C64B92EC F032EA15 D1721D03 F482D7CE 6E74FEF6" -  "D55E702F 46980C82 B5A84031 900B1C9E 59E7C97F BEC7E8F3" -  "23A97A7E 36CC88BE 0F1D45B7 FF585AC5 4BD407B2 2B4154AA" -  "CC8F6D7E BF48E1D8 14CC5ED2 0F8037E0 A79715EE F29BE328" -  "06A1D58B B7C5DA76 F550AA3D 8A1FBFF0 EB19CCB1 A313D55C" -  "DA56C9EC 2EF29632 387FE8D7 6E3C0468 043E8F66 3F4860EE" -  "12BF2D5B 0B7474D6 E694F91E 6DBE1159 74A3926F 12FEE5E4" -  "38777CB6 A932DF8C D8BEC4D0 73B931BA 3BC832B6 8D9DD300" -  "741FA7BF 8AFC47ED 2576F693 6BA42466 3AAB639C 5AE4F568" -  "3423B474 2BF1C978 238F16CB E39D652D E3FDB8BE FC848AD9" -  "22222E04 A4037C07 13EB57A8 1A23F0C7 3473FC64 6CEA306B" -  "4BCBC886 2F8385DD FA9D4B7F A2C087E8 79683303 ED5BDD3A" -  "062B3CF5 B3A278A6 6D2A13F8 3F44F82D DF310EE0 74AB6A36" -  "4597E899 A0255DC1 64F31CC5 0846851D F9AB4819 5DED7EA1" -  "B1D510BD 7EE74D73 FAF36BC3 1ECFA268 359046F4 EB879F92" -  "4009438B 481C6CD7 889A002E D5EE382B C9190DA6 FC026E47" -  "9558E447 5677E9AA 9E3050E2 765694DF C81F56E8 80B96E71" -  "60C980DD 98EDD3DF FFFFFFFF FFFFFFFF", 16)); -  - //! MODP Group 22 (1024-bit with 160-bit Subgroup). - //! - //! RFC 5114 2.1 - Parameters MODPGroup22 = -  Parameters(Gmp.mpz("B10B8F96 A080E01D DE92DE5E AE5D54EC 52C99FBC FB06A3C6" -  "9A6A9DCA 52D23B61 6073E286 75A23D18 9838EF1E 2EE652C0" -  "13ECB4AE A9061123 24975C3C D49B83BF ACCBDD7D 90C4BD70" -  "98488E9C 219A7372 4EFFD6FA E5644738 FAA31A4F F55BCCC0" -  "A151AF5F 0DC8B4BD 45BF37DF 365C1A65 E68CFDA7 6D4DA708" -  "DF1FB2BC 2E4A4371", 16), -  Gmp.mpz("A4D1CBD5 C3FD3412 6765A442 EFB99905 F8104DD2 58AC507F" -  "D6406CFF 14266D31 266FEA1E 5C41564B 777E690F 5504F213" -  "160217B4 B01B886A 5E91547F 9E2749F4 D7FBD7D3 B9A92EE1" -  "909D0D22 63F80A76 A6A24C08 7A091F53 1DBF0A01 69B6A28A" -  "D662A4D1 8E73AFA3 2D779D59 18D08BC8 858F4DCE F97C2A24" -  "855E6EEB 22B3B2E5", 16), -  Gmp.mpz("F518AA87 81A8DF27 8ABA4E7D 64B7CB9D 49462353", 16)); -  - //! MODP Group 23 (2048-bit with 224-bit Subgroup). - //! - //! RFC 5114 2.2 - Parameters MODPGroup23 = -  Parameters(Gmp.mpz("AD107E1E 9123A9D0 D660FAA7 9559C51F A20D64E5 683B9FD1" -  "B54B1597 B61D0A75 E6FA141D F95A56DB AF9A3C40 7BA1DF15" -  "EB3D688A 309C180E 1DE6B85A 1274A0A6 6D3F8152 AD6AC212" -  "9037C9ED EFDA4DF8 D91E8FEF 55B7394B 7AD5B7D0 B6C12207" -  "C9F98D11 ED34DBF6 C6BA0B2C 8BBC27BE 6A00E0A0 B9C49708" -  "B3BF8A31 70918836 81286130 BC8985DB 1602E714 415D9330" -  "278273C7 DE31EFDC 7310F712 1FD5A074 15987D9A DC0A486D" -  "CDF93ACC 44328387 315D75E1 98C641A4 80CD86A1 B9E587E8" -  "BE60E69C C928B2B9 C52172E4 13042E9B 23F10B0E 16E79763" -  "C9B53DCF 4BA80A29 E3FB73C1 6B8E75B9 7EF363E2 FFA31F71" -  "CF9DE538 4E71B81C 0AC4DFFE 0C10E64F", 16), -  Gmp.mpz("AC4032EF 4F2D9AE3 9DF30B5C 8FFDAC50 6CDEBE7B 89998CAF" -  "74866A08 CFE4FFE3 A6824A4E 10B9A6F0 DD921F01 A70C4AFA" -  "AB739D77 00C29F52 C57DB17C 620A8652 BE5E9001 A8D66AD7" -  "C1766910 1999024A F4D02727 5AC1348B B8A762D0 521BC98A" -  "E2471504 22EA1ED4 09939D54 DA7460CD B5F6C6B2 50717CBE" -  "F180EB34 118E98D1 19529A45 D6F83456 6E3025E3 16A330EF" -  "BB77A86F 0C1AB15B 051AE3D4 28C8F8AC B70A8137 150B8EEB" -  "10E183ED D19963DD D9E263E4 770589EF 6AA21E7F 5F2FF381" -  "B539CCE3 409D13CD 566AFBB4 8D6C0191 81E1BCFE 94B30269" -  "EDFE72FE 9B6AA4BD 7B5A0F1C 71CFFF4C 19C418E1 F6EC0179" -  "81BC087F 2A7065B3 84B890D3 191F2BFA", 16), -  Gmp.mpz("801C0D34 C58D93FE 99717710 1F80535A 4738CEBC BF389A99" -  "B36371EB", 16)); -  - //! MODP Group 24 (2048-bit with 256-bit Subgroup). - //! - //! RFC 5114 2.3 - Parameters MODPGroup24 = -  Parameters(Gmp.mpz("87A8E61D B4B6663C FFBBD19C 65195999 8CEEF608 660DD0F2" -  "5D2CEED4 435E3B00 E00DF8F1 D61957D4 FAF7DF45 61B2AA30" -  "16C3D911 34096FAA 3BF4296D 830E9A7C 209E0C64 97517ABD" -  "5A8A9D30 6BCF67ED 91F9E672 5B4758C0 22E0B1EF 4275BF7B" -  "6C5BFC11 D45F9088 B941F54E B1E59BB8 BC39A0BF 12307F5C" -  "4FDB70C5 81B23F76 B63ACAE1 CAA6B790 2D525267 35488A0E" -  "F13C6D9A 51BFA4AB 3AD83477 96524D8E F6A167B5 A41825D9" -  "67E144E5 14056425 1CCACB83 E6B486F6 B3CA3F79 71506026" -  "C0B857F6 89962856 DED4010A BD0BE621 C3A3960A 54E710C3" -  "75F26375 D7014103 A4B54330 C198AF12 6116D227 6E11715F" -  "693877FA D7EF09CA DB094AE9 1E1A1597", 16), -  Gmp.mpz("3FB32C9B 73134D0B 2E775066 60EDBD48 4CA7B18F 21EF2054" -  "07F4793A 1A0BA125 10DBC150 77BE463F FF4FED4A AC0BB555" -  "BE3A6C1B 0C6B47B1 BC3773BF 7E8C6F62 901228F8 C28CBB18" -  "A55AE313 41000A65 0196F931 C77A57F2 DDF463E5 E9EC144B" -  "777DE62A AAB8A862 8AC376D2 82D6ED38 64E67982 428EBC83" -  "1D14348F 6F2F9193 B5045AF2 767164E1 DFC967C1 FB3F2E55" -  "A4BD1BFF E83B9C80 D052B985 D182EA0A DB2A3B73 13D3FE14" -  "C8484B1E 052588B9 B7D2BBD2 DF016199 ECD06E15 57CD0915" -  "B3353BBB 64E0EC37 7FD02837 0DF92B52 C7891428 CDC67EB6" -  "184B523D 1DB246C3 2F630784 90F00EF8 D647D148 D4795451" -  "5E2327CF EF98C582 664B4C0F 6CC41659", 16), -  Gmp.mpz("8CF83642 A709A097 B4479976 40129DA2 99B1A47D 1EB3750B" -  "A308B0FE 64F5FBD3", 16)); -  - //! Discrete Log Diffie-Hellman 2048 - //! - //! From Negotiated FF-DHE for TLS draft 04, December 2014, Appendix A.1. - Parameters DLDHE2048 = -  /* p = 2^2048 - 2^1984 + floor{2^1918 e + 560315} * 2^64 - 1 */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1" -  "D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9" -  "7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561" -  "2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935" -  "984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735" -  "30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB" -  "B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19" -  "0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61" -  "9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73" -  "3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA" -  "886B4238 61285C97 FFFFFFFF FFFFFFFF", 16)); -  - //! Discrete Log Diffie-Hellman 2432 - //! - //! From Negotiated DL-DHE for TLS draft 02, April 2014, Appendix A.1. - Parameters DLDHE2432 = -  /* p = 2^2432 - 2^2368 + floor{2^2302 e + 2111044} * 2^64 - 1 */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1" -  "D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9" -  "7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561" -  "2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935" -  "984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735" -  "30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB" -  "B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19" -  "0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61" -  "9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73" -  "3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA" -  "886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238" -  "61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C" -  "AEFE1309 8533C8B3 FFFFFFFF FFFFFFFF", 16)); -  - //! Discrete Log Diffie-Hellman 3072 - //! - //! From Negotiated DL-DHE for TLS draft 02, April 2014, Appendix A.2. - Parameters DLDHE3072 = -  /* p = 2^3072 - 2^3008 + floor{2^2942 e + 2625351} * 2^64 -1 */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1" -  "D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9" -  "7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561" -  "2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935" -  "984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735" -  "30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB" -  "B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19" -  "0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61" -  "9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73" -  "3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA" -  "886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238" -  "61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C" -  "AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3" -  "64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D" -  "ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF" -  "3C1B20EE 3FD59D7C 25E41D2B 66C62E37 FFFFFFFF FFFFFFFF", -  16)); -  - //! Discrete Log Diffie-Hellman 4096 - //! - //! From Negotiated DL-DHE for TLS draft 02, April 2014, Appendix A.3. - Parameters DLDHE4096 = -  /* p = 2^4096 - 2^4032 + floor{2^3966 e + 5736041} * 2^64 - 1 */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1" -  "D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9" -  "7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561" -  "2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935" -  "984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735" -  "30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB" -  "B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19" -  "0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61" -  "9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73" -  "3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA" -  "886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238" -  "61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C" -  "AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3" -  "64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D" -  "ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF" -  "3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB" -  "7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004" -  "87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832" -  "A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A" -  "1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF" -  "8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E655F6A" -  "FFFFFFFF FFFFFFFF", 16)); -  - //! Discrete Log Diffie-Hellman 6144 - //! - //! From Negotiated DL-DHE for TLS draft 02, April 2014, Appendix A.4. - Parameters DLDHE6144 = -  /* p = 2^6144 - 2^6080 + floor{2^6014 e + 15705020} * 2^64 - 1 */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1" -  "D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9" -  "7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561" -  "2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935" -  "984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735" -  "30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB" -  "B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19" -  "0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61" -  "9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73" -  "3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA" -  "886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238" -  "61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C" -  "AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3" -  "64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D" -  "ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF" -  "3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB" -  "7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004" -  "87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832" -  "A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A" -  "1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF" -  "8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E0DD902" -  "0BFD64B6 45036C7A 4E677D2C 38532A3A 23BA4442 CAF53EA6" -  "3BB45432 9B7624C8 917BDD64 B1C0FD4C B38E8C33 4C701C3A" -  "CDAD0657 FCCFEC71 9B1F5C3E 4E46041F 388147FB 4CFDB477" -  "A52471F7 A9A96910 B855322E DB6340D8 A00EF092 350511E3" -  "0ABEC1FF F9E3A26E 7FB29F8C 183023C3 587E38DA 0077D9B4" -  "763E4E4B 94B2BBC1 94C6651E 77CAF992 EEAAC023 2A281BF6" -  "B3A739C1 22611682 0AE8DB58 47A67CBE F9C9091B 462D538C" -  "D72B0374 6AE77F5E 62292C31 1562A846 505DC82D B854338A" -  "E49F5235 C95B9117 8CCF2DD5 CACEF403 EC9D1810 C6272B04" -  "5B3B71F9 DC6B80D6 3FDD4A8E 9ADB1E69 62A69526 D43161C1" -  "A41D570D 7938DAD4 A40E329C D0E40E65 FFFFFFFF FFFFFFFF", -  16)); -  - //! Discrete Log Diffie-Hellman 8192 - //! - //! From Negotiated DL-DHE for TLS draft 02, April 2014, Appendix A.5. - Parameters DLDHE8192 = -  /* p = 2^8192 - 2^8128 + floor{2^8062 e + 10965728} * 2^64 - 1 */ -  Parameters(Gmp.mpz("FFFFFFFF FFFFFFFF ADF85458 A2BB4A9A AFDC5620 273D3CF1" -  "D8B9C583 CE2D3695 A9E13641 146433FB CC939DCE 249B3EF9" -  "7D2FE363 630C75D8 F681B202 AEC4617A D3DF1ED5 D5FD6561" -  "2433F51F 5F066ED0 85636555 3DED1AF3 B557135E 7F57C935" -  "984F0C70 E0E68B77 E2A689DA F3EFE872 1DF158A1 36ADE735" -  "30ACCA4F 483A797A BC0AB182 B324FB61 D108A94B B2C8E3FB" -  "B96ADAB7 60D7F468 1D4F42A3 DE394DF4 AE56EDE7 6372BB19" -  "0B07A7C8 EE0A6D70 9E02FCE1 CDF7E2EC C03404CD 28342F61" -  "9172FE9C E98583FF 8E4F1232 EEF28183 C3FE3B1B 4C6FAD73" -  "3BB5FCBC 2EC22005 C58EF183 7D1683B2 C6F34A26 C1B2EFFA" -  "886B4238 611FCFDC DE355B3B 6519035B BC34F4DE F99C0238" -  "61B46FC9 D6E6C907 7AD91D26 91F7F7EE 598CB0FA C186D91C" -  "AEFE1309 85139270 B4130C93 BC437944 F4FD4452 E2D74DD3" -  "64F2E21E 71F54BFF 5CAE82AB 9C9DF69E E86D2BC5 22363A0D" -  "ABC52197 9B0DEADA 1DBF9A42 D5C4484E 0ABCD06B FA53DDEF" -  "3C1B20EE 3FD59D7C 25E41D2B 669E1EF1 6E6F52C3 164DF4FB" -  "7930E9E4 E58857B6 AC7D5F42 D69F6D18 7763CF1D 55034004" -  "87F55BA5 7E31CC7A 7135C886 EFB4318A ED6A1E01 2D9E6832" -  "A907600A 918130C4 6DC778F9 71AD0038 092999A3 33CB8B7A" -  "1A1DB93D 7140003C 2A4ECEA9 F98D0ACC 0A8291CD CEC97DCF" -  "8EC9B55A 7F88A46B 4DB5A851 F44182E1 C68A007E 5E0DD902" -  "0BFD64B6 45036C7A 4E677D2C 38532A3A 23BA4442 CAF53EA6" -  "3BB45432 9B7624C8 917BDD64 B1C0FD4C B38E8C33 4C701C3A" -  "CDAD0657 FCCFEC71 9B1F5C3E 4E46041F 388147FB 4CFDB477" -  "A52471F7 A9A96910 B855322E DB6340D8 A00EF092 350511E3" -  "0ABEC1FF F9E3A26E 7FB29F8C 183023C3 587E38DA 0077D9B4" -  "763E4E4B 94B2BBC1 94C6651E 77CAF992 EEAAC023 2A281BF6" -  "B3A739C1 22611682 0AE8DB58 47A67CBE F9C9091B 462D538C" -  "D72B0374 6AE77F5E 62292C31 1562A846 505DC82D B854338A" -  "E49F5235 C95B9117 8CCF2DD5 CACEF403 EC9D1810 C6272B04" -  "5B3B71F9 DC6B80D6 3FDD4A8E 9ADB1E69 62A69526 D43161C1" -  "A41D570D 7938DAD4 A40E329C CFF46AAA 36AD004C F600C838" -  "1E425A31 D951AE64 FDB23FCE C9509D43 687FEB69 EDD1CC5E" -  "0B8CC3BD F64B10EF 86B63142 A3AB8829 555B2F74 7C932665" -  "CB2C0F1C C01BD702 29388839 D2AF05E4 54504AC7 8B758282" -  "2846C0BA 35C35F5C 59160CC0 46FD8251 541FC68C 9C86B022" -  "BB709987 6A460E74 51A8A931 09703FEE 1C217E6C 3826E52C" -  "51AA691E 0E423CFC 99E9E316 50C1217B 624816CD AD9A95F9" -  "D5B80194 88D9C0A0 A1FE3075 A577E231 83F81D4A 3F2FA457" -  "1EFC8CE0 BA8A4FE8 B6855DFE 72B0A66E DED2FBAB FBE58A30" -  "FAFABE1C 5D71A87E 2F741EF8 C1FE86FE A6BBFDE5 30677F0D" -  "97D11D49 F7A8443D 0822E506 A9F4614E 011E2A94 838FF88C" -  "D68C8BB7 C5C6424C FFFFFFFF FFFFFFFF", 16)); +    Newline at end of file removed.