Mercurial > dropbear
diff libtomcrypt/notes/rsa-testvectors/oaep-int.txt @ 1471:6dba84798cd5
Update to libtomcrypt 1.18.1, merged with Dropbear changes
| author | Matt Johnston <matt@ucc.asn.au> |
|---|---|
| date | Fri, 09 Feb 2018 21:44:05 +0800 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/libtomcrypt/notes/rsa-testvectors/oaep-int.txt Fri Feb 09 21:44:05 2018 +0800 @@ -0,0 +1,369 @@ +# ================================= +# WORKED-OUT EXAMPLE FOR RSAES-OAEP +# ================================= +# +# This file gives an example of the process of +# encrypting and decrypting a message with +# RSAES-OAEP as specified in PKCS #1 v2.1. +# +# The message is a bit string of length 128, +# while the size of the modulus in the public +# key is 1024 bits. The second representation +# of the private key is used, which means that +# CRT is applied in the decryption process. +# +# The underlying hash function is SHA-1; the +# mask generation function is MGF1 with SHA-1 +# as specified in PKCS #1 v2.1. +# +# This file also contains a demonstration of +# the RSADP decryption primitive with CRT. +# Finally, DER encodings of the RSA keys are +# given at the end of the file. +# +# +# Integers are represented by strings of octets +# with the leftmost octet being the most +# significant octet. For example, +# +# 9,202,000 = (0x)8c 69 50. +# +# ============================================= + +# ------------------------------ +# Components of the RSA Key Pair +# ------------------------------ + +# RSA modulus n: +bb f8 2f 09 06 82 ce 9c 23 38 ac 2b 9d a8 71 f7 +36 8d 07 ee d4 10 43 a4 40 d6 b6 f0 74 54 f5 1f +b8 df ba af 03 5c 02 ab 61 ea 48 ce eb 6f cd 48 +76 ed 52 0d 60 e1 ec 46 19 71 9d 8a 5b 8b 80 7f +af b8 e0 a3 df c7 37 72 3e e6 b4 b7 d9 3a 25 84 +ee 6a 64 9d 06 09 53 74 88 34 b2 45 45 98 39 4e +e0 aa b1 2d 7b 61 a5 1f 52 7a 9a 41 f6 c1 68 7f +e2 53 72 98 ca 2a 8f 59 46 f8 e5 fd 09 1d bd cb + +# RSA public exponent e: +(0x)11 + +# Prime p: +ee cf ae 81 b1 b9 b3 c9 08 81 0b 10 a1 b5 60 01 +99 eb 9f 44 ae f4 fd a4 93 b8 1a 9e 3d 84 f6 32 +12 4e f0 23 6e 5d 1e 3b 7e 28 fa e7 aa 04 0a 2d +5b 25 21 76 45 9d 1f 39 75 41 ba 2a 58 fb 65 99 + +# Prime q: +c9 7f b1 f0 27 f4 53 f6 34 12 33 ea aa d1 d9 35 +3f 6c 42 d0 88 66 b1 d0 5a 0f 20 35 02 8b 9d 86 +98 40 b4 16 66 b4 2e 92 ea 0d a3 b4 32 04 b5 cf +ce 33 52 52 4d 04 16 a5 a4 41 e7 00 af 46 15 03 + +# p's CRT exponent dP: +54 49 4c a6 3e ba 03 37 e4 e2 40 23 fc d6 9a 5a +eb 07 dd dc 01 83 a4 d0 ac 9b 54 b0 51 f2 b1 3e +d9 49 09 75 ea b7 74 14 ff 59 c1 f7 69 2e 9a 2e +20 2b 38 fc 91 0a 47 41 74 ad c9 3c 1f 67 c9 81 + +# q's CRT exponent dQ: +47 1e 02 90 ff 0a f0 75 03 51 b7 f8 78 86 4c a9 +61 ad bd 3a 8a 7e 99 1c 5c 05 56 a9 4c 31 46 a7 +f9 80 3f 8f 6f 8a e3 42 e9 31 fd 8a e4 7a 22 0d +1b 99 a4 95 84 98 07 fe 39 f9 24 5a 98 36 da 3d + +# CRT coefficient qInv: +b0 6c 4f da bb 63 01 19 8d 26 5b db ae 94 23 b3 +80 f2 71 f7 34 53 88 50 93 07 7f cd 39 e2 11 9f +c9 86 32 15 4f 58 83 b1 67 a9 67 bf 40 2b 4e 9e +2e 0f 96 56 e6 98 ea 36 66 ed fb 25 79 80 39 f7 + +# ---------------------------------- +# Step-by-step RSAES-OAEP Encryption +# ---------------------------------- + +# Message M to be encrypted: +d4 36 e9 95 69 fd 32 a7 c8 a0 5b bc 90 d3 2c 49 + +# Label L: +(the empty string) + +# lHash = Hash(L) +# DB = lHash || Padding || M +# seed = random string of octets +# dbMask = MGF(seed, length(DB)) +# maskedDB = DB xor dbMask +# seedMask = MGF(maskedDB, length(seed)) +# maskedSeed = seed xor seedMask +# EM = 0x00 || maskedSeed || maskedDB + +# lHash: +da 39 a3 ee 5e 6b 4b 0d 32 55 bf ef 95 60 18 90 +af d8 07 09 + +# DB: +da 39 a3 ee 5e 6b 4b 0d 32 55 bf ef 95 60 18 90 +af d8 07 09 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 +00 00 00 00 00 00 00 00 00 00 01 d4 36 e9 95 69 +fd 32 a7 c8 a0 5b bc 90 d3 2c 49 + +# seed: +aa fd 12 f6 59 ca e6 34 89 b4 79 e5 07 6d de c2 +f0 6c b5 8f + +# dbMask: +06 e1 de b2 36 9a a5 a5 c7 07 d8 2c 8e 4e 93 24 +8a c7 83 de e0 b2 c0 46 26 f5 af f9 3e dc fb 25 +c9 c2 b3 ff 8a e1 0e 83 9a 2d db 4c dc fe 4f f4 +77 28 b4 a1 b7 c1 36 2b aa d2 9a b4 8d 28 69 d5 +02 41 21 43 58 11 59 1b e3 92 f9 82 fb 3e 87 d0 +95 ae b4 04 48 db 97 2f 3a c1 4e af f4 9c 8c 3b +7c fc 95 1a 51 ec d1 dd e6 12 64 + +# maskedDB: +dc d8 7d 5c 68 f1 ee a8 f5 52 67 c3 1b 2e 8b b4 +25 1f 84 d7 e0 b2 c0 46 26 f5 af f9 3e dc fb 25 +c9 c2 b3 ff 8a e1 0e 83 9a 2d db 4c dc fe 4f f4 +77 28 b4 a1 b7 c1 36 2b aa d2 9a b4 8d 28 69 d5 +02 41 21 43 58 11 59 1b e3 92 f9 82 fb 3e 87 d0 +95 ae b4 04 48 db 97 2f 3a c1 4f 7b c2 75 19 52 +81 ce 32 d2 f1 b7 6d 4d 35 3e 2d + +# seedMask: +41 87 0b 5a b0 29 e6 57 d9 57 50 b5 4c 28 3c 08 +72 5d be a9 + +# maskedSeed: +eb 7a 19 ac e9 e3 00 63 50 e3 29 50 4b 45 e2 ca +82 31 0b 26 + +# EM = 00 || maskedSeed || maskedDB: +00 eb 7a 19 ac e9 e3 00 63 50 e3 29 50 4b 45 e2 +ca 82 31 0b 26 dc d8 7d 5c 68 f1 ee a8 f5 52 67 +c3 1b 2e 8b b4 25 1f 84 d7 e0 b2 c0 46 26 f5 af +f9 3e dc fb 25 c9 c2 b3 ff 8a e1 0e 83 9a 2d db +4c dc fe 4f f4 77 28 b4 a1 b7 c1 36 2b aa d2 9a +b4 8d 28 69 d5 02 41 21 43 58 11 59 1b e3 92 f9 +82 fb 3e 87 d0 95 ae b4 04 48 db 97 2f 3a c1 4f +7b c2 75 19 52 81 ce 32 d2 f1 b7 6d 4d 35 3e 2d + +# Ciphertext, the RSA encryption of EM: +12 53 e0 4d c0 a5 39 7b b4 4a 7a b8 7e 9b f2 a0 +39 a3 3d 1e 99 6f c8 2a 94 cc d3 00 74 c9 5d f7 +63 72 20 17 06 9e 52 68 da 5d 1c 0b 4f 87 2c f6 +53 c1 1d f8 23 14 a6 79 68 df ea e2 8d ef 04 bb +6d 84 b1 c3 1d 65 4a 19 70 e5 78 3b d6 eb 96 a0 +24 c2 ca 2f 4a 90 fe 9f 2e f5 c9 c1 40 e5 bb 48 +da 95 36 ad 87 00 c8 4f c9 13 0a de a7 4e 55 8d +51 a7 4d df 85 d8 b5 0d e9 68 38 d6 06 3e 09 55 + +# -------------------------------------------- +# Step-by-step RSAES-OAEP Decryption Using CRT +# -------------------------------------------- + +# c = the integer value of C above +# m1 = c^dP mod p = (c mod p)^dP mod p +# m2 = c^dQ mod q = (c mod q)^dQ mod q +# h = (m1-m2)*qInv mod p +# m = m2 + q*h = the integer value of EM above + +# c mod p: +de 63 d4 72 35 66 fa a7 59 bf e4 08 82 1d d5 25 +72 ec 92 85 4d df 87 a2 b6 64 d4 4d aa 37 ca 34 +6a 05 20 3d 82 ff 2d e8 e3 6c ec 1d 34 f9 8e b6 +05 e2 a7 d2 6d e7 af 36 9c e4 ec ae 14 e3 56 33 + +# c mod q: +a2 d9 24 de d9 c3 6d 62 3e d9 a6 5b 5d 86 2c fb +ec 8b 19 9c 64 27 9c 54 14 e6 41 19 6e f1 c9 3c +50 7a 9b 52 13 88 1a ad 05 b4 cc fa 02 8a c1 ec +61 42 09 74 bf 16 25 83 6b 0b 7d 05 fb b7 53 36 + +# m1: +89 6c a2 6c d7 e4 87 1c 7f c9 68 a8 ed ea 11 e2 +71 82 4f 0e 03 65 52 17 94 f1 e9 e9 43 b4 a4 4b +57 c9 e3 95 a1 46 74 78 f5 26 49 6b 4b b9 1f 1c +ba ea 90 0f fc 60 2c f0 c6 63 6e ba 84 fc 9f f7 + +# m2: +4e bb 22 75 85 f0 c1 31 2d ca 19 e0 b5 41 db 14 +99 fb f1 4e 27 0e 69 8e 23 9a 8c 27 a9 6c da 9a +74 09 74 de 93 7b 5c 9c 93 ea d9 46 2c 65 75 02 +1a 23 d4 64 99 dc 9f 6b 35 89 75 59 60 8f 19 be + +# h: +01 2b 2b 24 15 0e 76 e1 59 bd 8d db 42 76 e0 7b +fa c1 88 e0 8d 60 47 cf 0e fb 8a e2 ae bd f2 51 +c4 0e bc 23 dc fd 4a 34 42 43 94 ad a9 2c fc be +1b 2e ff bb 60 fd fb 03 35 9a 95 36 8d 98 09 25 + +# m: +00 eb 7a 19 ac e9 e3 00 63 50 e3 29 50 4b 45 e2 +ca 82 31 0b 26 dc d8 7d 5c 68 f1 ee a8 f5 52 67 +c3 1b 2e 8b b4 25 1f 84 d7 e0 b2 c0 46 26 f5 af +f9 3e dc fb 25 c9 c2 b3 ff 8a e1 0e 83 9a 2d db +4c dc fe 4f f4 77 28 b4 a1 b7 c1 36 2b aa d2 9a +b4 8d 28 69 d5 02 41 21 43 58 11 59 1b e3 92 f9 +82 fb 3e 87 d0 95 ae b4 04 48 db 97 2f 3a c1 4f +7b c2 75 19 52 81 ce 32 d2 f1 b7 6d 4d 35 3e 2d + +# The intermediate values in the remaining +# decryption process are the same as during +# RSAES-OAEP encryption of M. + +# ============================================= + +# ======================== +# DER Encoding of RSA Keys +# ======================== + +# ------------ +# RSAPublicKey +# ------------ +30 81 87 +# modulus + 02 81 81 + 00 bb f8 2f 09 06 82 ce + 9c 23 38 ac 2b 9d a8 71 + f7 36 8d 07 ee d4 10 43 + a4 40 d6 b6 f0 74 54 f5 + 1f b8 df ba af 03 5c 02 + ab 61 ea 48 ce eb 6f cd + 48 76 ed 52 0d 60 e1 ec + 46 19 71 9d 8a 5b 8b 80 + 7f af b8 e0 a3 df c7 37 + 72 3e e6 b4 b7 d9 3a 25 + 84 ee 6a 64 9d 06 09 53 + 74 88 34 b2 45 45 98 39 + 4e e0 aa b1 2d 7b 61 a5 + 1f 52 7a 9a 41 f6 c1 68 + 7f e2 53 72 98 ca 2a 8f + 59 46 f8 e5 fd 09 1d bd + cb +# publicExponent + 02 01 + 11 + +# ------------- +# RSAPrivateKey +# ------------- +30 82 02 5b +# version + 02 01 + 00 +# modulus + 02 81 81 + 00 bb f8 2f 09 06 82 ce + 9c 23 38 ac 2b 9d a8 71 + f7 36 8d 07 ee d4 10 43 + a4 40 d6 b6 f0 74 54 f5 + 1f b8 df ba af 03 5c 02 + ab 61 ea 48 ce eb 6f cd + 48 76 ed 52 0d 60 e1 ec + 46 19 71 9d 8a 5b 8b 80 + 7f af b8 e0 a3 df c7 37 + 72 3e e6 b4 b7 d9 3a 25 + 84 ee 6a 64 9d 06 09 53 + 74 88 34 b2 45 45 98 39 + 4e e0 aa b1 2d 7b 61 a5 + 1f 52 7a 9a 41 f6 c1 68 + 7f e2 53 72 98 ca 2a 8f + 59 46 f8 e5 fd 09 1d bd + cb +# publicExponent + 02 01 + 11 +# privateExponent + 02 81 81 + 00 a5 da fc 53 41 fa f2 + 89 c4 b9 88 db 30 c1 cd + f8 3f 31 25 1e 06 68 b4 + 27 84 81 38 01 57 96 41 + b2 94 10 b3 c7 99 8d 6b + c4 65 74 5e 5c 39 26 69 + d6 87 0d a2 c0 82 a9 39 + e3 7f dc b8 2e c9 3e da + c9 7f f3 ad 59 50 ac cf + bc 11 1c 76 f1 a9 52 94 + 44 e5 6a af 68 c5 6c 09 + 2c d3 8d c3 be f5 d2 0a + 93 99 26 ed 4f 74 a1 3e + dd fb e1 a1 ce cc 48 94 + af 94 28 c2 b7 b8 88 3f + e4 46 3a 4b c8 5b 1c b3 + c1 +# prime1 + 02 41 + 00 ee cf ae 81 b1 b9 b3 + c9 08 81 0b 10 a1 b5 60 + 01 99 eb 9f 44 ae f4 fd + a4 93 b8 1a 9e 3d 84 f6 + 32 12 4e f0 23 6e 5d 1e + 3b 7e 28 fa e7 aa 04 0a + 2d 5b 25 21 76 45 9d 1f + 39 75 41 ba 2a 58 fb 65 + 99 +# prime2 + 02 41 + 00 c9 7f b1 f0 27 f4 53 + f6 34 12 33 ea aa d1 d9 + 35 3f 6c 42 d0 88 66 b1 + d0 5a 0f 20 35 02 8b 9d + 86 98 40 b4 16 66 b4 2e + 92 ea 0d a3 b4 32 04 b5 + cf ce 33 52 52 4d 04 16 + a5 a4 41 e7 00 af 46 15 + 03 +# exponent1 + 02 40 + 54 49 4c a6 3e ba 03 37 + e4 e2 40 23 fc d6 9a 5a + eb 07 dd dc 01 83 a4 d0 + ac 9b 54 b0 51 f2 b1 3e + d9 49 09 75 ea b7 74 14 + ff 59 c1 f7 69 2e 9a 2e + 20 2b 38 fc 91 0a 47 41 + 74 ad c9 3c 1f 67 c9 81 +# exponent2 + 02 40 + 47 1e 02 90 ff 0a f0 75 + 03 51 b7 f8 78 86 4c a9 + 61 ad bd 3a 8a 7e 99 1c + 5c 05 56 a9 4c 31 46 a7 + f9 80 3f 8f 6f 8a e3 42 + e9 31 fd 8a e4 7a 22 0d + 1b 99 a4 95 84 98 07 fe + 39 f9 24 5a 98 36 da 3d +# coefficient + 02 41 + 00 b0 6c 4f da bb 63 01 + 19 8d 26 5b db ae 94 23 + b3 80 f2 71 f7 34 53 88 + 50 93 07 7f cd 39 e2 11 + 9f c9 86 32 15 4f 58 83 + b1 67 a9 67 bf 40 2b 4e + 9e 2e 0f 96 56 e6 98 ea + 36 66 ed fb 25 79 80 39 + f7 + +# ------------------------ +# PrivateKeyInfo (PKCS #8) +# ------------------------ +30 82 02 75 +# version + 02 01 + 00 +# privateKeyAlgorithmIdentifier + 30 0d + 06 09 + 2a 86 48 86 f7 0d 01 01 01 +# parameters + 05 00 +# privateKey = RSAPrivateKey encoding + 04 82 02 5f +# DER encoding of RSAPrivateKey structure + 30 82 02 5b ... 79 80 39 f7 + +# =============================================