Primes

Hezekiah <[email protected]> Tue, 29 Jul 2003 23:50:11 -0400
Newsgroups gmane.comp.security.invisiblenet.iip.devel
Message-ID <[email protected]> 
Hi! :)
	I know this is probably stupid paranoia, but this is a subject we don't want 
to mess up on. The PGP signature on the message nop sent was bad when I got 
it.
	Nop? Could you provide a link to the Oakley site where we can get these 
primes or resend a copy to me with another attempt at a PGP sig? Thanks. :)

	-- Hezekiah

On Tuesday, July 29, 2003 20:50, Lance James wrote:
> 	Here are the primes that are Oakley Approved and above it are
> the
> bit size of the primes, and the symmetric key equivalent strength.
> 	It is advised to follow this set, for instance, if you want to
> secure a 256 bit symmetric key, a 4096 bit prime is recommended. The
> generator for all these primes are 2.
> 	the secret exponent is recommended to be at minimum, twice the
> size
> of the symmetric key, example 256 bit AES key = 512 exponent minimum.
> 	Enjoy.
>
>
> 		 768, 64,
> 		FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
> 		29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
> 		EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
> 		E485B576 625E7EC6 F44C42E9 A63A3620 FFFFFFFF FFFFFFFF
>
> 		1024, 96, //90
> 		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
>
> 		1536, 128, //120
> 		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
>
> 		2048, 160, //160
> 		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
>
> 		3072, 224, //210
> 		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
>
> 		4096, 256, //240
> 		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
>
> 		6144, 288, //270
> 		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
>
> 		8192, 320, //310
> 		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
signature.asc (application/pgp-signature, 189 B) 
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Version: GnuPG v1.2.2 (GNU/Linux)

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=UwVa
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