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
|
/*
* RSA
* (C) 1999-2008 Jack Lloyd
*
* Distributed under the terms of the Botan license
*/
#ifndef BOTAN_RSA_H__
#define BOTAN_RSA_H__
#include <botan/if_algo.h>
namespace Botan {
/**
* RSA Public Key
*/
class BOTAN_DLL RSA_PublicKey : public PK_Encrypting_Key,
public PK_Verifying_with_MR_Key,
public virtual IF_Scheme_PublicKey
{
public:
std::string algo_name() const { return "RSA"; }
SecureVector<byte> encrypt(const byte[], u32bit,
RandomNumberGenerator& rng) const;
RSA_PublicKey(const AlgorithmIdentifier& alg_id,
const MemoryRegion<byte>& key_bits) :
IF_Scheme_PublicKey(alg_id, key_bits)
{
core = IF_Core(e, n);
}
/**
* Create a RSA_PublicKey
* @arg n the modulus
* @arg e the exponent
*/
RSA_PublicKey(const BigInt& n, const BigInt& e) :
IF_Scheme_PublicKey(n, e)
{
core = IF_Core(e, n);
}
protected:
RSA_PublicKey() {}
BigInt public_op(const BigInt&) const;
};
/**
* RSA Private Key class.
*/
class BOTAN_DLL RSA_PrivateKey : public RSA_PublicKey,
public PK_Decrypting_Key,
public PK_Signing_Key,
public IF_Scheme_PrivateKey
{
public:
SecureVector<byte> decrypt(const byte[], u32bit) const;
bool check_key(RandomNumberGenerator& rng, bool) const;
RSA_PrivateKey(const AlgorithmIdentifier& alg_id,
const MemoryRegion<byte>& key_bits,
RandomNumberGenerator& rng) :
IF_Scheme_PrivateKey(rng, alg_id, key_bits) {}
/**
* Construct a private key from the specified parameters.
* @param rng a random number generator
* @param p the first prime
* @param q the second prime
* @param e the exponent
* @param d if specified, this has to be d with
* exp * d = 1 mod (p - 1, q - 1). Leave it as 0 if you wish to
* the constructor to calculate it.
* @param n if specified, this must be n = p * q. Leave it as 0
* if you wish to the constructor to calculate it.
*/
RSA_PrivateKey(RandomNumberGenerator& rng,
const BigInt& p, const BigInt& q,
const BigInt& e, const BigInt& d = 0,
const BigInt& n = 0) :
IF_Scheme_PrivateKey(rng, p, q, e, d, n) {}
/**
* Create a new private key with the specified bit length
* @param rng the random number generator to use
* @param bits the desired bit length of the private key
* @param exp the public exponent to be used
*/
RSA_PrivateKey(RandomNumberGenerator& rng,
u32bit bits, u32bit exp = 65537);
private:
BigInt private_op(const byte[], u32bit) const;
};
class BOTAN_DLL RSA_Signature_Operation : public PK_Ops::Signature
{
public:
RSA_Signature_Operation(const RSA_PrivateKey& rsa);
u32bit max_input_bits() const { return (n_bits - 1); }
SecureVector<byte> sign(const byte msg[], u32bit msg_len,
RandomNumberGenerator& rng) const;
private:
const BigInt& q;
const BigInt& c;
Fixed_Exponent_Power_Mod powermod_d1_p, powermod_d2_q;
Modular_Reducer mod_p;
u32bit n_bits;
};
class BOTAN_DLL RSA_Verification_Operation : public PK_Ops::Verification
{
public:
RSA_Verification_Operation(const RSA_PublicKey& rsa) :
powermod_e_n(rsa.get_e(), rsa.get_n()),
n_bits(rsa.get_n().bits())
{}
u32bit max_input_bits() const { return (n_bits - 1); }
bool with_recovery() const { return true; }
SecureVector<byte> verify_mr(const byte msg[], u32bit msg_len) const
{
return BigInt::encode(powermod_e_n(BigInt(msg, msg_len)));
}
private:
Fixed_Exponent_Power_Mod powermod_e_n;
u32bit n_bits;
};
}
#endif
|
