From d248b50b4065877aa16a050089f3dbcdc152760a Mon Sep 17 00:00:00 2001 From: Joey Dodds Date: Mon, 4 Aug 2014 10:52:50 -0700 Subject: [PATCH] finished test vectors created function AeadConstruction that is used to generate tags in AEAD encryption and decryption --- examples/ChaChaPolyCryptolIETF.md | 154 +++++++++++++++++++++++++----- 1 file changed, 132 insertions(+), 22 deletions(-) diff --git a/examples/ChaChaPolyCryptolIETF.md b/examples/ChaChaPolyCryptolIETF.md index 392e9c7b..d5f9ca9f 100755 --- a/examples/ChaChaPolyCryptolIETF.md +++ b/examples/ChaChaPolyCryptolIETF.md @@ -1073,10 +1073,17 @@ takes a 256-bit key and 96-bit nonce as follows: adlen : [8][8] adlen = groupBy`{8}(littleendian (groupBy`{8}(`n:[64]))) // compute padding - type p1 = (16-m%16)%16 - type p2 = (16-n%16)%16 - tag : [16][8] - tag = Poly1305 PolyKey (aad # (zero:[p1][8]) # ct # (zero:[p2][8]) # adlen # ptlen) + tag = Poly1305 PolyKey (AeadConstruction aad ct) + +//ct in this function has tag removed +AeadConstruction (AAD : [n][8]) (CT : [m][8]) = (AAD # padding1 # CT # padding2 # adlen # ptlen) where + padding1 = (zero:[(16-n%16)][8]) + padding2 = (zero:[(16-m%16)][8]) + adlen : [8][8] + adlen = groupBy`{8}(littleendian (groupBy`{8}(`n:[64]))) + ptlen : [8][8] + ptlen = groupBy`{8}(littleendian (groupBy`{8}(`m:[64]))) + ``` The output from the AEAD is twofold: @@ -1087,13 +1094,11 @@ The output from the AEAD is twofold: Decryption is pretty much the same thing. ```cryptol - AEAD_CHACHA20_POLY1305_DECRYPT : {m, n} (fin m, fin n ,64 >= width m, 64 >= width n) => [256] -> [96] -> [m+16][8] -> [n][8] - -> ([m][8], Bit) - + -> ([m][8], Bit) AEAD_CHACHA20_POLY1305_DECRYPT k nonce ct ad = (pt, valid) where inTag = drop`{m}ct inCt = take`{m}ct @@ -1103,10 +1108,7 @@ AEAD_CHACHA20_POLY1305_DECRYPT k nonce ct ad = (pt, valid) where ptlen = groupBy`{8}(littleendian (groupBy`{8}(`m:[64]))) adlen : [8][8] adlen = groupBy`{8}(littleendian (groupBy`{8}(`n:[64]))) - // compute padding - type p1 = (16-m%16)%16 - type p2 = (16-n%16)%16 - tag = Poly1305 PolyKey (ad # (zero:[p1][8]) # inCt # (zero:[p2][8]) # adlen # ptlen) + tag = Poly1305 PolyKey (AeadConstruction ad inCt) valid = tag == inTag ``` @@ -1161,13 +1163,6 @@ AeadNonce = AeadC # AeadIV ```cryptol AeadCT = ChaCha20EncryptBytes AeadPt AeadKey AeadNonce 1 -type p1width = 4 -type p2width = 14 - -AeadConstruction AAD CT = (AeadAAD # padding1 # AeadCT # padding2 # ADleLen # CTleLen) where - padding1 = zero:[p1width][8] - padding2 = zero:[p2width][8] - AeadPolyKey = GeneratePolyKeyUsingChaCha AeadKey (AeadC # AeadIV) 0 ADleLen : [8][8] @@ -1981,20 +1976,134 @@ particular protocol, we’ll assume that there is no padding of the plaintext. ```cryptol -AEAD_correct key nonce cypherText AAD tag = ptMatches && isValid where +AEAD_correct key nonce cypherText tag AAD = ptMatches && isValid where (pt,isValid) = AEAD_CHACHA20_POLY1305_DECRYPT key nonce cypherText AAD cypherText = (AEAD_CHACHA20_POLY1305 key nonce AeadPt AAD) ptMatches = tag == pt ``` +```cryptol +//known +TV1_AEAD_key = join([ + 0x1c, 0x92, 0x40, 0xa5, 0xeb, 0x55, 0xd3, 0x8a, 0xf3, 0x33, 0x88, 0x86, 0x04, 0xf6, 0xb5, 0xf0, + 0x47, 0x39, 0x17, 0xc1, 0x40, 0x2b, 0x80, 0x09, 0x9d, 0xca, 0x5c, 0xbc, 0x20, 0x70, 0x75, 0xc0]) +//sent +TV1_AEAD_nonce = join([0x00, 0x00, 0x00, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08]) + +//sent +TV1_AEAD_AAD = [0xf3, 0x33, 0x88, 0x86, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x4e, 0x91] + +// calculated +TV1_AEAD_known_otk = join([ + 0xbd, 0xf0, 0x4a, 0xa9, 0x5c, 0xe4, 0xde, 0x89, 0x95, 0xb1, 0x4b, 0xb6, 0xa1, 0x8f, 0xec, 0xaf, + 0x26, 0x47, 0x8f, 0x50, 0xc0, 0x54, 0xf5, 0x63, 0xdb, 0xc0, 0xa2, 0x1e, 0x26, 0x15, 0x72, 0xaa]) + +//sent +TV1_AEAD_tag = [0xee, 0xad, 0x9d, 0x67, 0x89, 0x0c, 0xbb, 0x22, 0x39, 0x23, 0x36, 0xfe, 0xa1, 0x85, 0x1f, 0x38] + +TV1_AEAD_cypherText = [ + 0x64, 0xa0, 0x86, 0x15, 0x75, 0x86, 0x1a, 0xf4, 0x60, 0xf0, 0x62, 0xc7, 0x9b, 0xe6, 0x43, 0xbd, + 0x5e, 0x80, 0x5c, 0xfd, 0x34, 0x5c, 0xf3, 0x89, 0xf1, 0x08, 0x67, 0x0a, 0xc7, 0x6c, 0x8c, 0xb2, + 0x4c, 0x6c, 0xfc, 0x18, 0x75, 0x5d, 0x43, 0xee, 0xa0, 0x9e, 0xe9, 0x4e, 0x38, 0x2d, 0x26, 0xb0, + 0xbd, 0xb7, 0xb7, 0x3c, 0x32, 0x1b, 0x01, 0x00, 0xd4, 0xf0, 0x3b, 0x7f, 0x35, 0x58, 0x94, 0xcf, + 0x33, 0x2f, 0x83, 0x0e, 0x71, 0x0b, 0x97, 0xce, 0x98, 0xc8, 0xa8, 0x4a, 0xbd, 0x0b, 0x94, 0x81, + 0x14, 0xad, 0x17, 0x6e, 0x00, 0x8d, 0x33, 0xbd, 0x60, 0xf9, 0x82, 0xb1, 0xff, 0x37, 0xc8, 0x55, + 0x97, 0x97, 0xa0, 0x6e, 0xf4, 0xf0, 0xef, 0x61, 0xc1, 0x86, 0x32, 0x4e, 0x2b, 0x35, 0x06, 0x38, + 0x36, 0x06, 0x90, 0x7b, 0x6a, 0x7c, 0x02, 0xb0, 0xf9, 0xf6, 0x15, 0x7b, 0x53, 0xc8, 0x67, 0xe4, + 0xb9, 0x16, 0x6c, 0x76, 0x7b, 0x80, 0x4d, 0x46, 0xa5, 0x9b, 0x52, 0x16, 0xcd, 0xe7, 0xa4, 0xe9, + 0x90, 0x40, 0xc5, 0xa4, 0x04, 0x33, 0x22, 0x5e, 0xe2, 0x82, 0xa1, 0xb0, 0xa0, 0x6c, 0x52, 0x3e, + 0xaf, 0x45, 0x34, 0xd7, 0xf8, 0x3f, 0xa1, 0x15, 0x5b, 0x00, 0x47, 0x71, 0x8c, 0xbc, 0x54, 0x6a, + 0x0d, 0x07, 0x2b, 0x04, 0xb3, 0x56, 0x4e, 0xea, 0x1b, 0x42, 0x22, 0x73, 0xf5, 0x48, 0x27, 0x1a, + 0x0b, 0xb2, 0x31, 0x60, 0x53, 0xfa, 0x76, 0x99, 0x19, 0x55, 0xeb, 0xd6, 0x31, 0x59, 0x43, 0x4e, + 0xce, 0xbb, 0x4e, 0x46, 0x6d, 0xae, 0x5a, 0x10, 0x73, 0xa6, 0x72, 0x76, 0x27, 0x09, 0x7a, 0x10, + 0x49, 0xe6, 0x17, 0xd9, 0x1d, 0x36, 0x10, 0x94, 0xfa, 0x68, 0xf0, 0xff, 0x77, 0x98, 0x71, 0x30, + 0x30, 0x5b, 0xea, 0xba, 0x2e, 0xda, 0x04, 0xdf, 0x99, 0x7b, 0x71, 0x4d, 0x6c, 0x6f, 0x2c, 0x29, + 0xa6, 0xad, 0x5c, 0xb4, 0x02, 0x2b, 0x02, 0x70, 0x9b] + +TV1_AEAD_Poly_input = [ + 0xf3, 0x33, 0x88, 0x86, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x4e, 0x91, 0x00, 0x00, 0x00, 0x00, + 0x64, 0xa0, 0x86, 0x15, 0x75, 0x86, 0x1a, 0xf4, 0x60, 0xf0, 0x62, 0xc7, 0x9b, 0xe6, 0x43, 0xbd, + 0x5e, 0x80, 0x5c, 0xfd, 0x34, 0x5c, 0xf3, 0x89, 0xf1, 0x08, 0x67, 0x0a, 0xc7, 0x6c, 0x8c, 0xb2, + 0x4c, 0x6c, 0xfc, 0x18, 0x75, 0x5d, 0x43, 0xee, 0xa0, 0x9e, 0xe9, 0x4e, 0x38, 0x2d, 0x26, 0xb0, + 0xbd, 0xb7, 0xb7, 0x3c, 0x32, 0x1b, 0x01, 0x00, 0xd4, 0xf0, 0x3b, 0x7f, 0x35, 0x58, 0x94, 0xcf, + 0x33, 0x2f, 0x83, 0x0e, 0x71, 0x0b, 0x97, 0xce, 0x98, 0xc8, 0xa8, 0x4a, 0xbd, 0x0b, 0x94, 0x81, + 0x14, 0xad, 0x17, 0x6e, 0x00, 0x8d, 0x33, 0xbd, 0x60, 0xf9, 0x82, 0xb1, 0xff, 0x37, 0xc8, 0x55, + 0x97, 0x97, 0xa0, 0x6e, 0xf4, 0xf0, 0xef, 0x61, 0xc1, 0x86, 0x32, 0x4e, 0x2b, 0x35, 0x06, 0x38, + 0x36, 0x06, 0x90, 0x7b, 0x6a, 0x7c, 0x02, 0xb0, 0xf9, 0xf6, 0x15, 0x7b, 0x53, 0xc8, 0x67, 0xe4, + 0xb9, 0x16, 0x6c, 0x76, 0x7b, 0x80, 0x4d, 0x46, 0xa5, 0x9b, 0x52, 0x16, 0xcd, 0xe7, 0xa4, 0xe9, + 0x90, 0x40, 0xc5, 0xa4, 0x04, 0x33, 0x22, 0x5e, 0xe2, 0x82, 0xa1, 0xb0, 0xa0, 0x6c, 0x52, 0x3e, + 0xaf, 0x45, 0x34, 0xd7, 0xf8, 0x3f, 0xa1, 0x15, 0x5b, 0x00, 0x47, 0x71, 0x8c, 0xbc, 0x54, 0x6a, + 0x0d, 0x07, 0x2b, 0x04, 0xb3, 0x56, 0x4e, 0xea, 0x1b, 0x42, 0x22, 0x73, 0xf5, 0x48, 0x27, 0x1a, + 0x0b, 0xb2, 0x31, 0x60, 0x53, 0xfa, 0x76, 0x99, 0x19, 0x55, 0xeb, 0xd6, 0x31, 0x59, 0x43, 0x4e, + 0xce, 0xbb, 0x4e, 0x46, 0x6d, 0xae, 0x5a, 0x10, 0x73, 0xa6, 0x72, 0x76, 0x27, 0x09, 0x7a, 0x10, + 0x49, 0xe6, 0x17, 0xd9, 0x1d, 0x36, 0x10, 0x94, 0xfa, 0x68, 0xf0, 0xff, 0x77, 0x98, 0x71, 0x30, + 0x30, 0x5b, 0xea, 0xba, 0x2e, 0xda, 0x04, 0xdf, 0x99, 0x7b, 0x71, 0x4d, 0x6c, 0x6f, 0x2c, 0x29, + 0xa6, 0xad, 0x5c, 0xb4, 0x02, 0x2b, 0x02, 0x70, 0x9b, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x0c, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x09, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00] +``` + +First, we calculate the one-time Poly1305 key + +```cryptol + +//generate and check the one time key (leaving out the given states from the document, they will be correct if this is correct) +property TV1_otk_correct = Poly1305_key_correct TV1_AEAD_key TV1_AEAD_nonce TV1_AEAD_known_otk + +``` + +Next, we construct the AEAD buffer + +```cryptol +property poly_input_correct AeadAAD cypherText result = (AeadConstruction AeadAAD cypherText) == result + +property TV1_poly_input_correct = (poly_input_correct TV1_AEAD_AAD TV1_AEAD_cypherText TV1_AEAD_Poly_input) +``` + +We calculate the Poly1305 tag and find that it matches + +```cryptol +property TV1_tag_correct = poly1305_MAC_correct TV1_AEAD_known_otk (AeadConstruction TV1_AEAD_AAD TV1_AEAD_cypherText) TV1_AEAD_tag +``` ```cryptol -property all_tests_correct = +TV1_plaintext = [ + 0x49, 0x6e, 0x74, 0x65, 0x72, 0x6e, 0x65, 0x74, 0x2d, 0x44, 0x72, 0x61, 0x66, 0x74, 0x73, 0x20, + 0x61, 0x72, 0x65, 0x20, 0x64, 0x72, 0x61, 0x66, 0x74, 0x20, 0x64, 0x6f, 0x63, 0x75, 0x6d, 0x65, + 0x6e, 0x74, 0x73, 0x20, 0x76, 0x61, 0x6c, 0x69, 0x64, 0x20, 0x66, 0x6f, 0x72, 0x20, 0x61, 0x20, + 0x6d, 0x61, 0x78, 0x69, 0x6d, 0x75, 0x6d, 0x20, 0x6f, 0x66, 0x20, 0x73, 0x69, 0x78, 0x20, 0x6d, + 0x6f, 0x6e, 0x74, 0x68, 0x73, 0x20, 0x61, 0x6e, 0x64, 0x20, 0x6d, 0x61, 0x79, 0x20, 0x62, 0x65, + 0x20, 0x75, 0x70, 0x64, 0x61, 0x74, 0x65, 0x64, 0x2c, 0x20, 0x72, 0x65, 0x70, 0x6c, 0x61, 0x63, + 0x65, 0x64, 0x2c, 0x20, 0x6f, 0x72, 0x20, 0x6f, 0x62, 0x73, 0x6f, 0x6c, 0x65, 0x74, 0x65, 0x64, + 0x20, 0x62, 0x79, 0x20, 0x6f, 0x74, 0x68, 0x65, 0x72, 0x20, 0x64, 0x6f, 0x63, 0x75, 0x6d, 0x65, + 0x6e, 0x74, 0x73, 0x20, 0x61, 0x74, 0x20, 0x61, 0x6e, 0x79, 0x20, 0x74, 0x69, 0x6d, 0x65, 0x2e, + 0x20, 0x49, 0x74, 0x20, 0x69, 0x73, 0x20, 0x69, 0x6e, 0x61, 0x70, 0x70, 0x72, 0x6f, 0x70, 0x72, + 0x69, 0x61, 0x74, 0x65, 0x20, 0x74, 0x6f, 0x20, 0x75, 0x73, 0x65, 0x20, 0x49, 0x6e, 0x74, 0x65, + 0x72, 0x6e, 0x65, 0x74, 0x2d, 0x44, 0x72, 0x61, 0x66, 0x74, 0x73, 0x20, 0x61, 0x73, 0x20, 0x72, + 0x65, 0x66, 0x65, 0x72, 0x65, 0x6e, 0x63, 0x65, 0x20, 0x6d, 0x61, 0x74, 0x65, 0x72, 0x69, 0x61, + 0x6c, 0x20, 0x6f, 0x72, 0x20, 0x74, 0x6f, 0x20, 0x63, 0x69, 0x74, 0x65, 0x20, 0x74, 0x68, 0x65, + 0x6d, 0x20, 0x6f, 0x74, 0x68, 0x65, 0x72, 0x20, 0x74, 0x68, 0x61, 0x6e, 0x20, 0x61, 0x73, 0x20, + 0x2f, 0xe2, 0x80, 0x9c, 0x77, 0x6f, 0x72, 0x6b, 0x20, 0x69, 0x6e, 0x20, 0x70, 0x72, 0x6f, 0x67, + 0x72, 0x65, 0x73, 0x73, 0x2e, 0x2f, 0xe2, 0x80, 0x9d] + + +TV1_calculate_plaintext = AEAD_CHACHA20_POLY1305_DECRYPT TV1_AEAD_key TV1_AEAD_nonce (TV1_AEAD_cypherText # TV1_AEAD_tag) TV1_AEAD_AAD + +property TV1_plaintext_correct = isValid && pt == TV1_plaintext where + (pt,isValid) = TV1_calculate_plaintext + +property decryption_vector_correct = + TV1_plaintext_correct && + TV1_tag_correct && + TV1_otk_correct + + +property all_test_vectors_correct = all_block_tests_correct && all_enc_tests_correct && all_MAC_tests_correct && - all_key_tests_correct + all_key_tests_correct && + decryption_vector_correct ``` @@ -2059,7 +2168,8 @@ property AllPropertiesPass = AeadTag_correct && AeadConstruction_correct && AeadDecrypt_correct && - parseHexString_check + parseHexString_check && + all_test_vectors_correct ```