Crypto++ 8.9
Free C++ class library of cryptographic schemes
rsa.h
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1// rsa.h - originally written and placed in the public domain by Wei Dai
2
3/// \file rsa.h
4/// \brief Classes for the RSA cryptosystem
5/// \details This file contains classes that implement the RSA
6/// ciphers and signature schemes as defined in PKCS #1 v2.0.
7
8#ifndef CRYPTOPP_RSA_H
9#define CRYPTOPP_RSA_H
10
11#include "cryptlib.h"
12#include "pubkey.h"
13#include "integer.h"
14#include "pkcspad.h"
15#include "oaep.h"
16#include "emsa2.h"
17#include "asn.h"
18
19NAMESPACE_BEGIN(CryptoPP)
20
21/// \brief RSA trapdoor function using the public key
22/// \since Crypto++ 1.0
23class CRYPTOPP_DLL RSAFunction : public TrapdoorFunction, public X509PublicKey
24{
25 typedef RSAFunction ThisClass;
26
27public:
28 /// \brief Initialize a RSA public key
29 /// \param n the modulus
30 /// \param e the public exponent
31 void Initialize(const Integer &n, const Integer &e)
32 {m_n = n; m_e = e;}
33
34 // X509PublicKey
36 void BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size);
38
39 // CryptoMaterial
40 bool Validate(RandomNumberGenerator &rng, unsigned int level) const;
41 bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const;
42 void AssignFrom(const NameValuePairs &source);
43
44 // TrapdoorFunction
45 Integer ApplyFunction(const Integer &x) const;
46 Integer PreimageBound() const {return m_n;}
47 Integer ImageBound() const {return m_n;}
48
49 // non-derived
50 const Integer & GetModulus() const {return m_n;}
51 const Integer & GetPublicExponent() const {return m_e;}
52
53 void SetModulus(const Integer &n) {m_n = n;}
54 void SetPublicExponent(const Integer &e) {m_e = e;}
55
56protected:
57 Integer m_n, m_e;
58};
59
60/// \brief RSA trapdoor function using the private key
61/// \since Crypto++ 1.0
63{
65
66public:
67 /// \brief Create a RSA private key
68 /// \param rng a RandomNumberGenerator derived class
69 /// \param modulusBits the size of the modulus, in bits
70 /// \param e the desired public exponent
71 /// \details Initialize() creates a new keypair using a public exponent of 17.
72 /// \details This function overload of Initialize() creates a new private key because it
73 /// takes a RandomNumberGenerator() as a parameter. If you have an existing keypair,
74 /// then use one of the other Initialize() overloads.
75 void Initialize(RandomNumberGenerator &rng, unsigned int modulusBits, const Integer &e = 17);
76
77 /// \brief Initialize a RSA private key
78 /// \param n modulus
79 /// \param e public exponent
80 /// \param d private exponent
81 /// \param p first prime factor
82 /// \param q second prime factor
83 /// \param dp d mod p
84 /// \param dq d mod q
85 /// \param u q<sup>-1</sup> mod p
86 /// \details This Initialize() function overload initializes a private key from existing parameters.
87 void Initialize(const Integer &n, const Integer &e, const Integer &d, const Integer &p, const Integer &q, const Integer &dp, const Integer &dq, const Integer &u)
88 {m_n = n; m_e = e; m_d = d; m_p = p; m_q = q; m_dp = dp; m_dq = dq; m_u = u;}
89
90 /// \brief Initialize a RSA private key
91 /// \param n modulus
92 /// \param e public exponent
93 /// \param d private exponent
94 /// \details This Initialize() function overload initializes a private key from existing parameters.
95 /// Initialize() will factor n using d and populate {p,q,dp,dq,u}.
96 void Initialize(const Integer &n, const Integer &e, const Integer &d);
97
98 // PKCS8PrivateKey
108 void BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size);
110
111 // TrapdoorFunctionInverse
113
114 // GeneratableCryptoMaterial
115 bool Validate(RandomNumberGenerator &rng, unsigned int level) const;
116 // parameters: (ModulusSize, PublicExponent (default 17))
118 bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const;
119 void AssignFrom(const NameValuePairs &source);
120
121 // non-derived interface
122 const Integer& GetPrime1() const {return m_p;}
123 const Integer& GetPrime2() const {return m_q;}
124 const Integer& GetPrivateExponent() const {return m_d;}
125 const Integer& GetModPrime1PrivateExponent() const {return m_dp;}
126 const Integer& GetModPrime2PrivateExponent() const {return m_dq;}
127 const Integer& GetMultiplicativeInverseOfPrime2ModPrime1() const {return m_u;}
128
129 void SetPrime1(const Integer &p) {m_p = p;}
130 void SetPrime2(const Integer &q) {m_q = q;}
131 void SetPrivateExponent(const Integer &d) {m_d = d;}
132 void SetModPrime1PrivateExponent(const Integer &dp) {m_dp = dp;}
133 void SetModPrime2PrivateExponent(const Integer &dq) {m_dq = dq;}
134 void SetMultiplicativeInverseOfPrime2ModPrime1(const Integer &u) {m_u = u;}
135
136protected:
137 Integer m_d, m_p, m_q, m_dp, m_dq, m_u;
138};
139
140/// \brief RSA trapdoor function using the public key
141/// \since Crypto++ 1.0
142class CRYPTOPP_DLL RSAFunction_ISO : public RSAFunction
143{
144public:
146 Integer PreimageBound() const {return ++(m_n>>1);}
147};
148
149/// \brief RSA trapdoor function using the private key
150/// \since Crypto++ 1.0
152{
153public:
155 Integer PreimageBound() const {return ++(m_n>>1);}
156};
157
158/// \brief RSA algorithm
159/// \since Crypto++ 1.0
160struct CRYPTOPP_DLL RSA
161{
162 CRYPTOPP_STATIC_CONSTEXPR const char* CRYPTOPP_API StaticAlgorithmName() {return "RSA";}
163 typedef RSAFunction PublicKey;
165};
166
167/// \brief RSA encryption algorithm
168/// \tparam STANDARD signature standard
169/// \sa <a href="http://www.weidai.com/scan-mirror/ca.html#RSA">RSA cryptosystem</a>
170/// \since Crypto++ 1.0
171template <class STANDARD>
172struct RSAES : public TF_ES<RSA, STANDARD>
173{
174};
175
176/// \brief RSA signature algorithm
177/// \tparam STANDARD signature standard
178/// \tparam H hash transformation
179/// \details See documentation of PKCS1v15 for a list of hash functions that can be used with it.
180/// \sa <a href="http://www.weidai.com/scan-mirror/sig.html#RSA">RSA signature scheme with appendix</a>
181/// \since Crypto++ 1.0
182template <class STANDARD, class H>
183struct RSASS : public TF_SS<RSA, STANDARD, H>
184{
185};
186
187/// \brief RSA algorithm
188/// \since Crypto++ 1.0
189struct CRYPTOPP_DLL RSA_ISO
190{
191 CRYPTOPP_STATIC_CONSTEXPR const char* CRYPTOPP_API StaticAlgorithmName() {return "RSA-ISO";}
194};
195
196/// \brief RSA signature algorithm
197/// \tparam H hash transformation
198/// \since Crypto++ 1.0
199template <class H>
200struct RSASS_ISO : public TF_SS<RSA_ISO, P1363_EMSA2, H>
201{
202};
203
204/// \brief \ref RSAES<STANDARD> "RSAES<PKCS1v15>::Decryptor" typedef
205/// \details RSA encryption scheme defined in PKCS #1 v2.0
206/// \since Crypto++ 1.0
208/// \brief \ref RSAES<STANDARD> "RSAES<PKCS1v15>::Encryptor" typedef
209/// \details RSA encryption scheme defined in PKCS #1 v2.0
210/// \since Crypto++ 1.0
212
213/// \brief \ref RSAES<STANDARD> "RSAES<OAEP<SHA1>>::Decryptor" typedef
214/// \details RSA encryption scheme defined in PKCS #1 v2.0
215/// \since Crypto++ 1.0
216DOCUMENTED_TYPEDEF(RSAES<OAEP<SHA1> >::Decryptor, RSAES_OAEP_SHA_Decryptor);
217/// \brief \ref RSAES<STANDARD> "RSAES<OAEP<SHA1>>::Encryptor" typedef
218/// \details RSA encryption scheme defined in PKCS #1 v2.0
219/// \since Crypto++ 1.0
220DOCUMENTED_TYPEDEF(RSAES<OAEP<SHA1> >::Encryptor, RSAES_OAEP_SHA_Encryptor);
221
222/// \brief \ref RSAES<STANDARD> "RSAES<OAEP<SHA256>>::Decryptor" typedef
223/// \details RSA encryption scheme defined in PKCS #1 v2.0
224/// \since Crypto++ 8.8
225DOCUMENTED_TYPEDEF(RSAES<OAEP<SHA256> >::Decryptor, RSAES_OAEP_SHA256_Decryptor);
226/// \brief \ref RSAES<STANDARD> "RSAES<OAEP<SHA256>>::Encryptor" typedef
227/// \details RSA encryption scheme defined in PKCS #1 v2.0
228/// \since Crypto++ 8.8
229DOCUMENTED_TYPEDEF(RSAES<OAEP<SHA256> >::Encryptor, RSAES_OAEP_SHA256_Encryptor);
230
231#ifdef CRYPTOPP_DOXYGEN_PROCESSING
232/// \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15,SHA1>::Signer" typedef
233/// \details RSA signature schemes defined in PKCS #1 v2.0
234/// \since Crypto++ 1.0
235class RSASSA_PKCS1v15_SHA_Signer : public RSASS<PKCS1v15,SHA1>::Signer {};
236/// \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15,SHA1>::Verifier" typedef
237/// \details RSA signature schemes defined in PKCS #1 v2.0
238/// \since Crypto++ 1.0
239class RSASSA_PKCS1v15_SHA_Verifier : public RSASS<PKCS1v15,SHA1>::Verifier {};
240
241/// \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15,SHA256>::Signer" typedef
242/// \details RSA signature schemes defined in PKCS #1 v2.0
243/// \since Crypto++ 8.8
244class RSASSA_PKCS1v15_SHA256_Signer : public RSASS<PKCS1v15,SHA256>::Signer {};
245/// \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15,SHA256>::Verifier" typedef
246/// \details RSA signature schemes defined in PKCS #1 v2.0
247/// \since Crypto++ 8.8
248class RSASSA_PKCS1v15_SHA256_Verifier : public RSASS<PKCS1v15,SHA256>::Verifier {};
249
250namespace Weak {
251
252/// \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15, Weak::MD2>::Signer" typedef
253/// \details RSA signature schemes defined in PKCS #1 v2.0
254/// \since Crypto++ 1.0
255class RSASSA_PKCS1v15_MD2_Signer : public RSASS<PKCS1v15, Weak1::MD2>::Signer {};
256/// \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15, Weak::MD2>::Verifier" typedef
257/// \details RSA signature schemes defined in PKCS #1 v2.0
258/// \since Crypto++ 1.0
259class RSASSA_PKCS1v15_MD2_Verifier : public RSASS<PKCS1v15, Weak1::MD2>::Verifier {};
260
261/// \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15, Weak::MD5>::Signer" typedef
262/// \details RSA signature schemes defined in PKCS #1 v2.0
263/// \since Crypto++ 1.0
264class RSASSA_PKCS1v15_MD5_Signer : public RSASS<PKCS1v15, Weak1::MD5>::Signer {};
265/// \brief \ref RSASS<STANDARD,HASH> "RSASS<PKCS1v15, Weak::MD5>::Verifier" typedef
266/// \details RSA signature schemes defined in PKCS #1 v2.0
267/// \since Crypto++ 1.0
268class RSASSA_PKCS1v15_MD5_Verifier : public RSASS<PKCS1v15, Weak1::MD5>::Verifier {};
269}
270
271#else
274
277
278namespace Weak {
279 typedef RSASS<PKCS1v15, Weak1::MD2>::Signer RSASSA_PKCS1v15_MD2_Signer;
280 typedef RSASS<PKCS1v15, Weak1::MD2>::Verifier RSASSA_PKCS1v15_MD2_Verifier;
281 typedef RSASS<PKCS1v15, Weak1::MD5>::Signer RSASSA_PKCS1v15_MD5_Signer;
282 typedef RSASS<PKCS1v15, Weak1::MD5>::Verifier RSASSA_PKCS1v15_MD5_Verifier;
283}
284#endif // CRYPTOPP_DOXYGEN_PROCESSING
285
286NAMESPACE_END
287
288#endif
Classes and functions for working with ANS.1 objects.
Interface for buffered transformations.
Definition cryptlib.h:1657
Multiple precision integer with arithmetic operations.
Definition integer.h:50
RSA trapdoor function using the private key.
Definition rsa.h:152
Integer PreimageBound() const
Returns the maximum size of a message before the trapdoor function is applied.
Definition rsa.h:155
Integer CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const
Calculates the inverse of an element.
RSA trapdoor function using the private key.
Definition rsa.h:63
bool Validate(RandomNumberGenerator &rng, unsigned int level) const
Check this object for errors.
void Initialize(RandomNumberGenerator &rng, unsigned int modulusBits, const Integer &e=17)
Create a RSA private key.
void BERDecode(BufferedTransformation &bt)
Decode this object from a BufferedTransformation.
Definition rsa.h:99
void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
Generate a random key or crypto parameters.
void DEREncode(BufferedTransformation &bt) const
Encode this object into a BufferedTransformation.
Definition rsa.h:101
void Initialize(const Integer &n, const Integer &e, const Integer &d, const Integer &p, const Integer &q, const Integer &dp, const Integer &dq, const Integer &u)
Initialize a RSA private key.
Definition rsa.h:87
void Initialize(const Integer &n, const Integer &e, const Integer &d)
Initialize a RSA private key.
void AssignFrom(const NameValuePairs &source)
Assign values to this object.
void DEREncodePrivateKey(BufferedTransformation &bt) const
Encode privateKey part of privateKeyInfo.
bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
Get a named value.
void Save(BufferedTransformation &bt) const
DER encode ASN.1 object.
Definition rsa.h:105
OID GetAlgorithmID() const
Retrieves the OID of the algorithm.
Definition rsa.h:107
Integer CalculateInverse(RandomNumberGenerator &rng, const Integer &x) const
Calculates the inverse of an element.
void Load(BufferedTransformation &bt)
BER decode ASN.1 object.
Definition rsa.h:103
void BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
Decode privateKey part of privateKeyInfo.
Interface for retrieving values given their names.
Definition cryptlib.h:327
OAEP padding.
Definition oaep.h:39
Object Identifier.
Definition asn.h:265
Template implementing constructors for public key algorithm classes.
Definition pubkey.h:2198
Encodes and Decodes privateKeyInfo.
Definition asn.h:749
void DEREncode(BufferedTransformation &bt) const
Encode this object into a BufferedTransformation.
void BERDecode(BufferedTransformation &bt)
Decode this object from a BufferedTransformation.
RSAES<OAEP>::Decryptor typedef
Definition rsa.h:225
RSAES<OAEP>::Encryptor typedef
Definition rsa.h:229
RSAES<OAEP>::Decryptor typedef
Definition rsa.h:216
RSAES<OAEP>::Encryptor typedef
Definition rsa.h:220
RSAES::Decryptor typedef
Definition rsa.h:207
RSAES::Encryptor typedef
Definition rsa.h:211
RSA trapdoor function using the public key.
Definition rsa.h:143
Integer PreimageBound() const
Returns the maximum size of a message before the trapdoor function is applied.
Definition rsa.h:146
Integer ApplyFunction(const Integer &x) const
Applies the trapdoor.
RSA trapdoor function using the public key.
Definition rsa.h:24
Integer ImageBound() const
Returns the maximum size of a representation after the trapdoor function is applied.
Definition rsa.h:47
bool Validate(RandomNumberGenerator &rng, unsigned int level) const
Check this object for errors.
OID GetAlgorithmID() const
Retrieves the OID of the algorithm.
Integer PreimageBound() const
Returns the maximum size of a message before the trapdoor function is applied.
Definition rsa.h:46
Integer ApplyFunction(const Integer &x) const
Applies the trapdoor.
void BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
Decode subjectPublicKey part of subjectPublicKeyInfo.
void Initialize(const Integer &n, const Integer &e)
Initialize a RSA public key.
Definition rsa.h:31
bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
Get a named value.
void DEREncodePublicKey(BufferedTransformation &bt) const
Encode subjectPublicKey part of subjectPublicKeyInfo.
void AssignFrom(const NameValuePairs &source)
Assign values to this object.
RSASS<PKCS1v15,SHA256>::Signer typedef
Definition rsa.h:244
RSASS<PKCS1v15,SHA256>::Verifier typedef
Definition rsa.h:248
RSASS<PKCS1v15,SHA1>::Signer typedef
Definition rsa.h:235
RSASS<PKCS1v15,SHA1>::Verifier typedef
Definition rsa.h:239
Interface for random number generators.
Definition cryptlib.h:1440
Trapdoor Function (TF) encryption scheme.
Definition pubkey.h:2290
Trapdoor Function (TF) Signature Scheme.
Definition pubkey.h:2316
Applies the trapdoor function.
Definition pubkey.h:126
Applies the inverse of the trapdoor function.
Definition pubkey.h:179
RSASS<PKCS1v15, Weak::MD2>::Signer typedef
Definition rsa.h:255
RSASS<PKCS1v15, Weak::MD2>::Verifier typedef
Definition rsa.h:259
RSASS<PKCS1v15, Weak::MD5>::Signer typedef
Definition rsa.h:264
RSASS<PKCS1v15, Weak::MD5>::Verifier typedef
Definition rsa.h:268
Encodes and decodes subjectPublicKeyInfo.
Definition asn.h:703
#define CRYPTOPP_API
Win32 calling convention.
Definition config_dll.h:119
Abstract base classes that provide a uniform interface to this library.
Classes and functions for various padding schemes used in public key algorithms.
Multiple precision integer with arithmetic operations.
Crypto++ library namespace.
Namespace containing weak and wounded algorithms.
Definition arc4.cpp:14
Classes for optimal asymmetric encryption padding.
Classes for PKCS padding schemes.
This file contains helper classes/functions for implementing public key algorithms.
RSA algorithm.
Definition rsa.h:190
RSA encryption algorithm.
Definition rsa.h:173
RSA algorithm.
Definition rsa.h:161
RSA signature algorithm.
Definition rsa.h:201
RSA signature algorithm.
Definition rsa.h:184