[u/mdw/catacomb] / tests / mpbarrett

# Test vectors for Barrett modular reduction
#
# $Id: mpbarrett,v 1.1 1999/12/10 23:25:27 mdw Exp $

mpbarrett-reduce {
  17 11 6;

  0x8ab316d0d1a2e88535cf77c1172881ead70d592c59e9c5fbc16e4b0c4dc49481
  0x18ca3bf7ee3c6d7bab3f144b015ccc6c25472843d346b461
  0x02c1815029b766b96ad4507dc1af8151307961c6d161d065;

  0x8117d1663ee63341eb8faeff304549f0f8b32d587acc2fd5597ea6a31625881d
  0xdc85df77dfb61876805623bcbed325b99d00c2cd65c252c879
  0x395da02e8a6c66476467c4e04f328d8208cc411e3d1e96e14c;

  0x63791966f2ad44a6df11bcc87c6b7c2400c74e69f7e3ca02fcac12b3bf56238b
  0xa49e473b8f7539d89cdb002d73182558773eec10db93cc6049d8c5533e
  0x65caf6833baa118b53c7bdc44a831605ca382b5993beead59f3971d13f;

  0x9ca438db3e0f79305987292e8ec6174e6c313f7904ebb35a349a700e3ae63a37
  0xb24c93d499c7073b8f7aac718c1f12da1a8fc8bccdd47b49
  0x46393cb15e38cbbc8a85698151a113f28081b4c8f6ed232e;

  0x8214fd17858a4a913015412b5331eb9654faeb5156a674b1e5f6550a68957146
  0xc4f0ebaad6c0ee0111c57667ea8e0a254f3068f212949e20ededa89a7da6
  0x3fde916ba21d19414d4316041420ca59d8b01aa2acf3f3ef106245c1915c;

  0x367aa8f5ba9ac4e8e2ea198b8af2c3b3081deab392ffc05715783b245a62a6fa
  0x72e2c37447f8bca34c4a39b130ea8e5c9a7d8b54564aa88ea773
  0x08e8c03ebf398c63d71d8fd7ca4ece12367a8dde180ca650afb6;

  0xae2d84438ac6643fc601c1634351aa75b284fecbbe5faf3a132be9dd1a326e6c
  0xc33c890f030644d88cc65f8ccf99c625c9b9fa21d4eb153e52ef89df54130855
  0xae2d84438ac6643fc601c1634351aa75b284fecbbe5faf3a132be9dd1a326e6c;

  0x65901dcdad8dd0625d4d158f99b666fee10480d1df15e3bdac640584b9b746bc
  0xd8a1d326fee87d55f39f15b5b2cfe71f5146083928
  0x859c41164983547c03134b99530e25a0f874315964;
}

mpbarrett-exp {
  4325987397987458979875737589783
  435365332435654643667
  8745435676786567758678547
  2439674515119108242643169132064;

  8939489893434234331 1804289383 454353454354565 6139425926295484741;
  8939489893434234331 1804289383 8939489893434234330 1;

  # --- DSA public key derivation ---

  0xc9c7feaeaedb16505389c5582df1858d0fdb3eecfe61c230d612661bef8c1bc5
  0x5cd41fc97d0db5322bab7d659354db2ed9f88e39d2c6fae9f29acab5a522131e
  0x1234
  0x51812af9600c89ffe0f73902eb09015c03b4e0fbf6ccf073931c12f9aad1fb47;

  0xdde5808744e1cd37c88667e7033694b2513a7429f035f11c0bafc4dff2b96a672bd0a3ca16aba2ea526df00c8571106ba4a1d83eb62605fc9274ab70bef0a111cd070cca2d8b10edf042d6c44f863c36fabea8bb0d7340eb8c169da27a4b0ba2713c166152a0244235093391c5f71aee8c03dcaf2335a2e4689ccb27ba365ec7
  0x65985e4c2d6027a8afdeb9b44cc619e1c4d46bde873e0d4b45325412a2f8365e51245324f888704295fe8233a6666624d9a4701172dbfcab5c9643e1caab79eb2a0c85284d1b858688b8f16804326321f53a723502a6d6ae08dcbffccf2187a799f6281c2478ef0faed5c5c80adeabc5ee435cff8b9ae0b603e47fb08d73b014
  0x23a252f60bae4907a8ed5b6203e2b1da32848cd9
  0x9720498d8ec1208585635faaf952c1204c37119acccc64ed7942867be24770e33db39ffcfa1194549ead8495a7918a20e15144e68125860ef4f8c1a3d771bad690938bdb2c8817e2b89a8fc615d067084a7a2f2f9280e15fb9ccebfe713584260d5ed30545b69745d7b22977bfd44d60d7c5e657aab1c79dc5cb33ff29ee9074;  

  # --- Quick RSA test ---

  905609324890967090294090970600361             # This is p
  3
  905609324890967090294090970600360             # This is (p - 1)
  1;                                            # Fermat test: p is prime

  734589569806680985408670989082927             # This is q
  5
  734589569806680985408670989082926             # And this is (q - 1)
  1;                                            # Fermat again: q is prime

  # --- Encrypt a message ---
  #
  # The public and private exponents are from the GCD test.  The message
  # is just obvious.  The modulus is the product of the two primes above.

  665251164384574309450646977867045404520085938543622535546005136647
  123456789012345678901234567890123456789012345678901234567890
  5945908509680983480596809586040589085680968709809890671
  25906467774034212974484417859588980567136610347807401817990462701;

  # --- And decrypt it again --- 

  665251164384574309450646977867045404520085938543622535546005136647
  25906467774034212974484417859588980567136610347807401817990462701
  514778499400157641662814932021958856708417966520837469125919104431
  123456789012345678901234567890123456789012345678901234567890;
}
Commit	Line	Data
21a7c4b1	1	# Test vectors for Barrett modular reduction
	2	#
	3	# $Id: mpbarrett,v 1.1 1999/12/10 23:25:27 mdw Exp $
	4
	5	mpbarrett-reduce {
	6	17 11 6;
	7
	8	0x8ab316d0d1a2e88535cf77c1172881ead70d592c59e9c5fbc16e4b0c4dc49481
	9	0x18ca3bf7ee3c6d7bab3f144b015ccc6c25472843d346b461
	10	0x02c1815029b766b96ad4507dc1af8151307961c6d161d065;
	11
	12	0x8117d1663ee63341eb8faeff304549f0f8b32d587acc2fd5597ea6a31625881d
	13	0xdc85df77dfb61876805623bcbed325b99d00c2cd65c252c879
	14	0x395da02e8a6c66476467c4e04f328d8208cc411e3d1e96e14c;
	15
	16	0x63791966f2ad44a6df11bcc87c6b7c2400c74e69f7e3ca02fcac12b3bf56238b
	17	0xa49e473b8f7539d89cdb002d73182558773eec10db93cc6049d8c5533e
	18	0x65caf6833baa118b53c7bdc44a831605ca382b5993beead59f3971d13f;
	19
	20	0x9ca438db3e0f79305987292e8ec6174e6c313f7904ebb35a349a700e3ae63a37
	21	0xb24c93d499c7073b8f7aac718c1f12da1a8fc8bccdd47b49
	22	0x46393cb15e38cbbc8a85698151a113f28081b4c8f6ed232e;
	23
	24	0x8214fd17858a4a913015412b5331eb9654faeb5156a674b1e5f6550a68957146
	25	0xc4f0ebaad6c0ee0111c57667ea8e0a254f3068f212949e20ededa89a7da6
	26	0x3fde916ba21d19414d4316041420ca59d8b01aa2acf3f3ef106245c1915c;
	27
	28	0x367aa8f5ba9ac4e8e2ea198b8af2c3b3081deab392ffc05715783b245a62a6fa
	29	0x72e2c37447f8bca34c4a39b130ea8e5c9a7d8b54564aa88ea773
	30	0x08e8c03ebf398c63d71d8fd7ca4ece12367a8dde180ca650afb6;
	31
	32	0xae2d84438ac6643fc601c1634351aa75b284fecbbe5faf3a132be9dd1a326e6c
	33	0xc33c890f030644d88cc65f8ccf99c625c9b9fa21d4eb153e52ef89df54130855
	34	0xae2d84438ac6643fc601c1634351aa75b284fecbbe5faf3a132be9dd1a326e6c;
	35
	36	0x65901dcdad8dd0625d4d158f99b666fee10480d1df15e3bdac640584b9b746bc
	37	0xd8a1d326fee87d55f39f15b5b2cfe71f5146083928
	38	0x859c41164983547c03134b99530e25a0f874315964;
	39	}
	40
	41	mpbarrett-exp {
	42	4325987397987458979875737589783
	43	435365332435654643667
	44	8745435676786567758678547
	45	2439674515119108242643169132064;
	46
	47	8939489893434234331 1804289383 454353454354565 6139425926295484741;
	48	8939489893434234331 1804289383 8939489893434234330 1;
	49
	50	# --- DSA public key derivation ---
	51
	52	0xc9c7feaeaedb16505389c5582df1858d0fdb3eecfe61c230d612661bef8c1bc5
	53	0x5cd41fc97d0db5322bab7d659354db2ed9f88e39d2c6fae9f29acab5a522131e
	54	0x1234
	55	0x51812af9600c89ffe0f73902eb09015c03b4e0fbf6ccf073931c12f9aad1fb47;
	56
	57	0xdde5808744e1cd37c88667e7033694b2513a7429f035f11c0bafc4dff2b96a672bd0a3ca16aba2ea526df00c8571106ba4a1d83eb62605fc9274ab70bef0a111cd070cca2d8b10edf042d6c44f863c36fabea8bb0d7340eb8c169da27a4b0ba2713c166152a0244235093391c5f71aee8c03dcaf2335a2e4689ccb27ba365ec7
	58	0x65985e4c2d6027a8afdeb9b44cc619e1c4d46bde873e0d4b45325412a2f8365e51245324f888704295fe8233a6666624d9a4701172dbfcab5c9643e1caab79eb2a0c85284d1b858688b8f16804326321f53a723502a6d6ae08dcbffccf2187a799f6281c2478ef0faed5c5c80adeabc5ee435cff8b9ae0b603e47fb08d73b014
	59	0x23a252f60bae4907a8ed5b6203e2b1da32848cd9
	60	0x9720498d8ec1208585635faaf952c1204c37119acccc64ed7942867be24770e33db39ffcfa1194549ead8495a7918a20e15144e68125860ef4f8c1a3d771bad690938bdb2c8817e2b89a8fc615d067084a7a2f2f9280e15fb9ccebfe713584260d5ed30545b69745d7b22977bfd44d60d7c5e657aab1c79dc5cb33ff29ee9074;
	61
	62	# --- Quick RSA test ---
	63
	64	905609324890967090294090970600361 # This is p
65	3
66	905609324890967090294090970600360 # This is (p - 1)
67	1; # Fermat test: p is prime
68
69	734589569806680985408670989082927 # This is q
70	5
71	734589569806680985408670989082926 # And this is (q - 1)
72	1; # Fermat again: q is prime
73
74	# --- Encrypt a message ---
75	#
76	# The public and private exponents are from the GCD test. The message
77	# is just obvious. The modulus is the product of the two primes above.
78
79	665251164384574309450646977867045404520085938543622535546005136647
80	123456789012345678901234567890123456789012345678901234567890
81	5945908509680983480596809586040589085680968709809890671
82	25906467774034212974484417859588980567136610347807401817990462701;
83
84	# --- And decrypt it again ---
85
86	665251164384574309450646977867045404520085938543622535546005136647
87	25906467774034212974484417859588980567136610347807401817990462701
88	514778499400157641662814932021958856708417966520837469125919104431
89	123456789012345678901234567890123456789012345678901234567890;
90	}