# 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 d3. 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 in the EME-OAEP encoding method is SHA-1;
# the mask generation function is MGF1 with SHA-1 as specified in 
# PKCS #1 v2.1 d3.
# 
# Integers are represented by strings of octets with the leftmost octet 
# being the most significant octet. For example, 9202000 = 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 ng 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.