1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
|
/*
* OAEP
* (C) 1999-2010,2015,2018 Jack Lloyd
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
#include <botan/oaep.h>
#include <botan/mgf1.h>
#include <botan/exceptn.h>
#include <botan/rng.h>
#include <botan/internal/ct_utils.h>
namespace Botan {
/*
* OAEP Pad Operation
*/
secure_vector<uint8_t> OAEP::pad(const uint8_t in[], size_t in_length,
size_t key_length,
RandomNumberGenerator& rng) const
{
key_length /= 8;
if(in_length > maximum_input_size(key_length * 8))
{
throw Invalid_Argument("OAEP: Input is too large");
}
secure_vector<uint8_t> out(key_length);
rng.randomize(out.data(), m_Phash.size());
buffer_insert(out, m_Phash.size(), m_Phash.data(), m_Phash.size());
out[out.size() - in_length - 1] = 0x01;
buffer_insert(out, out.size() - in_length, in, in_length);
mgf1_mask(*m_mgf1_hash,
out.data(), m_Phash.size(),
&out[m_Phash.size()], out.size() - m_Phash.size());
mgf1_mask(*m_mgf1_hash,
&out[m_Phash.size()], out.size() - m_Phash.size(),
out.data(), m_Phash.size());
return out;
}
/*
* OAEP Unpad Operation
*/
secure_vector<uint8_t> OAEP::unpad(uint8_t& valid_mask,
const uint8_t in[], size_t in_length) const
{
/*
Must be careful about error messages here; if an attacker can
distinguish them, it is easy to use the differences as an oracle to
find the secret key, as described in "A Chosen Ciphertext Attack on
RSA Optimal Asymmetric Encryption Padding (OAEP) as Standardized in
PKCS #1 v2.0", James Manger, Crypto 2001
Also have to be careful about timing attacks! Pointed out by Falko
Strenzke.
According to the standard (Section 7.1.1), the encryptor always
creates a message as follows:
i. Concatenate a single octet with hexadecimal value 0x00,
maskedSeed, and maskedDB to form an encoded message EM of
length k octets as
EM = 0x00 || maskedSeed || maskedDB.
where k is the length of the modulus N.
Therefore, the first byte can always be skipped safely.
*/
uint8_t skip_first = CT::is_zero<uint8_t>(in[0]) & 0x01;
secure_vector<uint8_t> input(in + skip_first, in + in_length);
CT::poison(input.data(), input.size());
const size_t hlen = m_Phash.size();
mgf1_mask(*m_mgf1_hash,
&input[hlen], input.size() - hlen,
input.data(), hlen);
mgf1_mask(*m_mgf1_hash,
input.data(), hlen,
&input[hlen], input.size() - hlen);
size_t delim_idx = 2 * hlen;
uint8_t waiting_for_delim = 0xFF;
uint8_t bad_input = 0;
for(size_t i = delim_idx; i < input.size(); ++i)
{
const uint8_t zero_m = CT::is_zero<uint8_t>(input[i]);
const uint8_t one_m = CT::is_equal<uint8_t>(input[i], 1);
const uint8_t add_m = waiting_for_delim & zero_m;
bad_input |= waiting_for_delim & ~(zero_m | one_m);
delim_idx += CT::select<uint8_t>(add_m, 1, 0);
waiting_for_delim &= zero_m;
}
// If we never saw any non-zero byte, then it's not valid input
bad_input |= waiting_for_delim;
bad_input |= CT::is_equal<uint8_t>(constant_time_compare(&input[hlen], m_Phash.data(), hlen), false);
CT::unpoison(input.data(), input.size());
CT::unpoison(&bad_input, 1);
CT::unpoison(&delim_idx, 1);
valid_mask = ~bad_input;
secure_vector<uint8_t> output(input.begin() + delim_idx + 1, input.end());
CT::cond_zero_mem(bad_input, output.data(), output.size());
return output;
}
/*
* Return the max input size for a given key size
*/
size_t OAEP::maximum_input_size(size_t keybits) const
{
if(keybits / 8 > 2*m_Phash.size() + 1)
return ((keybits / 8) - 2*m_Phash.size() - 1);
else
return 0;
}
/*
* OAEP Constructor
*/
OAEP::OAEP(HashFunction* hash, const std::string& P) : m_mgf1_hash(hash)
{
m_Phash = m_mgf1_hash->process(P);
}
OAEP::OAEP(HashFunction* hash,
HashFunction* mgf1_hash,
const std::string& P) : m_mgf1_hash(mgf1_hash)
{
std::unique_ptr<HashFunction> phash(hash); // takes ownership
m_Phash = phash->process(P);
}
}
|