173 lines
6.1 KiB
Plaintext
173 lines
6.1 KiB
Plaintext
/* Copyright (c) (2015,2019) Apple Inc. All rights reserved.
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*
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* corecrypto is licensed under Apple Inc.’s Internal Use License Agreement (which
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* is contained in the License.txt file distributed with corecrypto) and only to
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* people who accept that license. IMPORTANT: Any license rights granted to you by
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* Apple Inc. (if any) are limited to internal use within your organization only on
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* devices and computers you own or control, for the sole purpose of verifying the
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* security characteristics and correct functioning of the Apple Software. You may
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* not, directly or indirectly, redistribute the Apple Software or any portions thereof.
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*/
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# =================================
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# WORKED-OUT EXAMPLE FOR RSASSA-PSS
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# =================================
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#
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# This file gives an example of the process of
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# signing a message with RSASSA-PSS as
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# specified in PKCS #1 v2.1.
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#
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# The message is an octet string of length 114,
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# while the size of the modulus in the public
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# key is 1024 bits. The message is signed via a
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# random salt of length 20 octets
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#
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# The underlying hash function in the EMSA-PSS
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# encoding method is SHA-1; the mask generation
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# function is MGF1 with SHA-1 as specified in
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# PKCS #1 v2.1.
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#
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# Integers are represented by strings of octets
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# with the leftmost octet being the most
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# significant octet. For example,
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#
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# 9,202,000 = (0x)8c 69 50.
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#
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# =============================================
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# ------------------------------
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# Components of the RSA Key Pair
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# ------------------------------
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# RSA modulus n:
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a2 ba 40 ee 07 e3 b2 bd 2f 02 ce 22 7f 36 a1 95
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02 44 86 e4 9c 19 cb 41 bb bd fb ba 98 b2 2b 0e
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57 7c 2e ea ff a2 0d 88 3a 76 e6 5e 39 4c 69 d4
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b3 c0 5a 1e 8f ad da 27 ed b2 a4 2b c0 00 fe 88
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8b 9b 32 c2 2d 15 ad d0 cd 76 b3 e7 93 6e 19 95
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5b 22 0d d1 7d 4e a9 04 b1 ec 10 2b 2e 4d e7 75
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12 22 aa 99 15 10 24 c7 cb 41 cc 5e a2 1d 00 ee
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b4 1f 7c 80 08 34 d2 c6 e0 6b ce 3b ce 7e a9 a5
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# RSA public exponent e:
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01 00 01
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# Prime p:
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d1 7f 65 5b f2 7c 8b 16 d3 54 62 c9 05 cc 04 a2
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6f 37 e2 a6 7f a9 c0 ce 0d ce d4 72 39 4a 0d f7
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43 fe 7f 92 9e 37 8e fd b3 68 ed df f4 53 cf 00
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7a f6 d9 48 e0 ad e7 57 37 1f 8a 71 1e 27 8f 6b
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# Prime q:
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c6 d9 2b 6f ee 74 14 d1 35 8c e1 54 6f b6 29 87
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53 0b 90 bd 15 e0 f1 49 63 a5 e2 63 5a db 69 34
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7e c0 c0 1b 2a b1 76 3f d8 ac 1a 59 2f b2 27 57
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46 3a 98 24 25 bb 97 a3 a4 37 c5 bf 86 d0 3f 2f
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# p's CRT exponent dP:
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9d 0d bf 83 e5 ce 9e 4b 17 54 dc d5 cd 05 bc b7
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b5 5f 15 08 33 0e a4 9f 14 d4 e8 89 55 0f 82 56
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cb 5f 80 6d ff 34 b1 7a da 44 20 88 53 57 7d 08
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e4 26 28 90 ac f7 52 46 1c ea 05 54 76 01 bc 4f
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# q's CRT exponent dQ:
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12 91 a5 24 c6 b7 c0 59 e9 0e 46 dc 83 b2 17 1e
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b3 fa 98 81 8f d1 79 b6 c8 bf 6c ec aa 47 63 03
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ab f2 83 fe 05 76 9c fc 49 57 88 fe 5b 1d df de
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9e 88 4a 3c d5 e9 36 b7 e9 55 eb f9 7e b5 63 b1
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# CRT coefficient qInv:
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a6 3f 1d a3 8b 95 0c 9a d1 c6 7c e0 d6 77 ec 29
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14 cd 7d 40 06 2d f4 2a 67 eb 19 8a 17 6f 97 42
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aa c7 c5 fe a1 4f 22 97 66 2b 84 81 2c 4d ef c4
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9a 80 25 ab 43 82 28 6b e4 c0 37 88 dd 01 d6 9f
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# ---------------------------------
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# Step-by-step RSASSA-PSS Signature
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# ---------------------------------
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# Message M to be signed:
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85 9e ef 2f d7 8a ca 00 30 8b dc 47 11 93 bf 55
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bf 9d 78 db 8f 8a 67 2b 48 46 34 f3 c9 c2 6e 64
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78 ae 10 26 0f e0 dd 8c 08 2e 53 a5 29 3a f2 17
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3c d5 0c 6d 5d 35 4f eb f7 8b 26 02 1c 25 c0 27
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12 e7 8c d4 69 4c 9f 46 97 77 e4 51 e7 f8 e9 e0
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4c d3 73 9c 6b bf ed ae 48 7f b5 56 44 e9 ca 74
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ff 77 a5 3c b7 29 80 2f 6e d4 a5 ff a8 ba 15 98
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90 fc
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# mHash = Hash(M)
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# salt = random string of octets
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# M' = Padding || mHash || salt
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# H = Hash(M')
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# DB = Padding || salt
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# dbMask = MGF(H, length(DB))
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# maskedDB = DB xor dbMask (leftmost bit set to
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# zero)
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# EM = maskedDB || H || 0xbc
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# mHash:
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37 b6 6a e0 44 58 43 35 3d 47 ec b0 b4 fd 14 c1
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10 e6 2d 6a
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# salt:
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e3 b5 d5 d0 02 c1 bc e5 0c 2b 65 ef 88 a1 88 d8
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3b ce 7e 61
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# M':
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00 00 00 00 00 00 00 00 37 b6 6a e0 44 58 43 35
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3d 47 ec b0 b4 fd 14 c1 10 e6 2d 6a e3 b5 d5 d0
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02 c1 bc e5 0c 2b 65 ef 88 a1 88 d8 3b ce 7e 61
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# H:
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df 1a 89 6f 9d 8b c8 16 d9 7c d7 a2 c4 3b ad 54
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6f be 8c fe
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# DB:
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00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
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00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
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00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
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00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
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00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00
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00 00 00 00 00 00 01 e3 b5 d5 d0 02 c1 bc e5 0c
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2b 65 ef 88 a1 88 d8 3b ce 7e 61
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# dbMask:
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66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67
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d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af
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50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4
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d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1
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e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec
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d3 18 3a 31 1f c8 97 39 a9 66 43 13 6e 8b 0f 46
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5e 87 a4 53 5c d4 c5 9b 10 02 8d
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# maskedDB:
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66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67
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d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af
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50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4
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d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1
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e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec
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d3 18 3a 31 1f c8 96 da 1c b3 93 11 af 37 ea 4a
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75 e2 4b db fd 5c 1d a0 de 7c ec
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# Encoded message EM:
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66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67
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d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af
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50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4
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d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1
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e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec
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d3 18 3a 31 1f c8 96 da 1c b3 93 11 af 37 ea 4a
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75 e2 4b db fd 5c 1d a0 de 7c ec df 1a 89 6f 9d
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8b c8 16 d9 7c d7 a2 c4 3b ad 54 6f be 8c fe bc
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# Signature S, the RSA decryption of EM:
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8d aa 62 7d 3d e7 59 5d 63 05 6c 7e c6 59 e5 44
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06 f1 06 10 12 8b aa e8 21 c8 b2 a0 f3 93 6d 54
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dc 3b dc e4 66 89 f6 b7 95 1b b1 8e 84 05 42 76
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97 18 d5 71 5d 21 0d 85 ef bb 59 61 92 03 2c 42
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be 4c 29 97 2c 85 62 75 eb 6d 5a 45 f0 5f 51 87
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6f c6 74 3d ed dd 28 ca ec 9b b3 0e a9 9e 02 c3
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48 82 69 60 4f e4 97 f7 4c cd 7c 7f ca 16 71 89
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71 23 cb d3 0d ef 5d 54 a2 b5 53 6a d9 0a 74 7e
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# =============================================
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