Botan  2.1.0
Crypto and TLS for C++11
Public Member Functions | Protected Attributes | List of all members
Botan::DSA_PrivateKey Class Reference

#include <dsa.h>

Inheritance diagram for Botan::DSA_PrivateKey:
Botan::DSA_PublicKey Botan::DL_Scheme_PrivateKey Botan::DL_Scheme_PublicKey Botan::DL_Scheme_PublicKey Botan::Private_Key Botan::Public_Key Botan::Public_Key Botan::Public_Key

Public Member Functions

std::string algo_name () const override
 
AlgorithmIdentifier algorithm_identifier () const override
 
bool check_key (RandomNumberGenerator &rng, bool strong) const override
 
virtual std::unique_ptr< PK_Ops::Decryptioncreate_decryption_op (RandomNumberGenerator &rng, const std::string &params, const std::string &provider) const
 
virtual std::unique_ptr< PK_Ops::Encryptioncreate_encryption_op (RandomNumberGenerator &rng, const std::string &params, const std::string &provider) const
 
virtual std::unique_ptr< PK_Ops::KEM_Decryptioncreate_kem_decryption_op (RandomNumberGenerator &rng, const std::string &params, const std::string &provider) const
 
virtual std::unique_ptr< PK_Ops::KEM_Encryptioncreate_kem_encryption_op (RandomNumberGenerator &rng, const std::string &params, const std::string &provider) const
 
virtual std::unique_ptr< PK_Ops::Key_Agreementcreate_key_agreement_op (RandomNumberGenerator &rng, const std::string &params, const std::string &provider) const
 
std::unique_ptr< PK_Ops::Signaturecreate_signature_op (RandomNumberGenerator &rng, const std::string &params, const std::string &provider) const override
 
std::unique_ptr< PK_Ops::Verificationcreate_verification_op (const std::string &params, const std::string &provider) const override
 
 DSA_PrivateKey (const AlgorithmIdentifier &alg_id, const secure_vector< uint8_t > &key_bits)
 
 DSA_PrivateKey (RandomNumberGenerator &rng, const DL_Group &group, const BigInt &private_key=0)
 
size_t estimated_strength () const override
 
std::string fingerprint (const std::string &alg="SHA") const
 
const DL_Groupget_domain () const
 
virtual OID get_oid () const
 
const BigIntget_x () const
 
const BigIntget_y () const
 
DL_Group::Format group_format () const override
 
const BigIntgroup_g () const
 
const BigIntgroup_p () const
 
const BigIntgroup_q () const
 
size_t key_length () const override
 
size_t message_part_size () const override
 
size_t message_parts () const override
 
virtual AlgorithmIdentifier pkcs8_algorithm_identifier () const
 
secure_vector< uint8_t > private_key_bits () const override
 
secure_vector< uint8_t > private_key_info () const
 
std::vector< uint8_t > public_key_bits () const override
 
std::vector< uint8_t > subject_public_key () const
 

Protected Attributes

DL_Group m_group
 
BigInt m_x
 
BigInt m_y
 

Detailed Description

DSA Private Key

Definition at line 55 of file dsa.h.

Constructor & Destructor Documentation

Botan::DSA_PrivateKey::DSA_PrivateKey ( const AlgorithmIdentifier alg_id,
const secure_vector< uint8_t > &  key_bits 
)

Load a private key.

Parameters
alg_idthe X.509 algorithm identifier
key_bitsDER encoded key bits in ANSI X9.57 format

Definition at line 52 of file dsa.cpp.

References Botan::DL_Scheme_PublicKey::group_g(), Botan::DL_Scheme_PublicKey::group_p(), Botan::DL_Scheme_PrivateKey::m_x, Botan::DL_Scheme_PublicKey::m_y, and Botan::power_mod().

53  :
55  {
56  m_y = power_mod(group_g(), m_x, group_p());
57  }
const BigInt & group_p() const
Definition: dl_algo.h:43
BigInt power_mod(const BigInt &base, const BigInt &exp, const BigInt &mod)
Definition: numthry.cpp:373
const BigInt & group_g() const
Definition: dl_algo.h:55
Botan::DSA_PrivateKey::DSA_PrivateKey ( RandomNumberGenerator rng,
const DL_Group group,
const BigInt private_key = 0 
)

Create a private key.

Parameters
rngthe RNG to use
groupthe underlying DL group
private_keythe private key (if zero, a new random key is generated)

Definition at line 38 of file dsa.cpp.

References Botan::DL_Scheme_PublicKey::group_g(), Botan::DL_Scheme_PublicKey::group_p(), Botan::DL_Scheme_PublicKey::group_q(), Botan::DL_Scheme_PublicKey::m_group, Botan::DL_Scheme_PrivateKey::m_x, Botan::DL_Scheme_PublicKey::m_y, Botan::power_mod(), and Botan::BigInt::random_integer().

41  {
42  m_group = grp;
43 
44  if(x_arg == 0)
45  m_x = BigInt::random_integer(rng, 2, group_q() - 1);
46  else
47  m_x = x_arg;
48 
49  m_y = power_mod(group_g(), m_x, group_p());
50  }
const BigInt & group_q() const
Definition: dl_algo.h:49
const BigInt & group_p() const
Definition: dl_algo.h:43
static BigInt random_integer(RandomNumberGenerator &rng, const BigInt &min, const BigInt &max)
Definition: big_rand.cpp:45
BigInt power_mod(const BigInt &base, const BigInt &exp, const BigInt &mod)
Definition: numthry.cpp:373
const BigInt & group_g() const
Definition: dl_algo.h:55

Member Function Documentation

std::string Botan::DSA_PublicKey::algo_name ( ) const
inlineoverridevirtualinherited

Get the name of the underlying public key scheme.

Returns
name of the public key scheme

Implements Botan::Public_Key.

Definition at line 21 of file dsa.h.

21 { return "DSA"; }
AlgorithmIdentifier Botan::DL_Scheme_PublicKey::algorithm_identifier ( ) const
overridevirtualinherited
Returns
X.509 AlgorithmIdentifier for this key

Implements Botan::Public_Key.

Definition at line 26 of file dl_algo.cpp.

References Botan::DL_Group::DER_encode(), Botan::Public_Key::get_oid(), Botan::DL_Scheme_PublicKey::group_format(), and Botan::DL_Scheme_PublicKey::m_group.

27  {
28  return AlgorithmIdentifier(get_oid(),
30  }
std::vector< uint8_t > DER_encode(Format format) const
Definition: dl_group.cpp:225
virtual OID get_oid() const
Definition: pk_keys.cpp:30
virtual DL_Group::Format group_format() const =0
bool Botan::DSA_PrivateKey::check_key ( RandomNumberGenerator rng,
bool  strong 
) const
overridevirtual

Test the key values for consistency.

Parameters
rngrng to use
strongwhether to perform strong and lengthy version of the test
Returns
true if the test is passed

Reimplemented from Botan::DL_Scheme_PrivateKey.

Definition at line 62 of file dsa.cpp.

References Botan::DL_Scheme_PrivateKey::check_key(), Botan::DL_Scheme_PublicKey::group_q(), Botan::DL_Scheme_PrivateKey::m_x, and Botan::KeyPair::signature_consistency_check().

63  {
64  if(!DL_Scheme_PrivateKey::check_key(rng, strong) || m_x >= group_q())
65  return false;
66 
67  if(!strong)
68  return true;
69 
70  return KeyPair::signature_consistency_check(rng, *this, "EMSA1(SHA-256)");
71  }
const BigInt & group_q() const
Definition: dl_algo.h:49
bool signature_consistency_check(RandomNumberGenerator &rng, const Private_Key &private_key, const Public_Key &public_key, const std::string &padding)
Definition: keypair.cpp:48
bool check_key(RandomNumberGenerator &rng, bool) const override
Definition: dl_algo.cpp:90
std::unique_ptr< PK_Ops::Decryption > Botan::Private_Key::create_decryption_op ( RandomNumberGenerator rng,
const std::string &  params,
const std::string &  provider 
) const
virtualinherited

This is an internal library function exposed on key types. In almost all cases applications should use wrappers in pubkey.h

Return an decryption operation for this key/params or throw

Parameters
rnga random number generator. The PK_Op may maintain a reference to the RNG and use it many times. The rng must outlive any operations which reference it.
paramsadditional parameters
providerthe provider to use

Reimplemented in Botan::RSA_PrivateKey, and Botan::ElGamal_PrivateKey.

Definition at line 102 of file pk_keys.cpp.

References Botan::Public_Key::algo_name().

Referenced by Botan::PK_Decryptor_EME::PK_Decryptor_EME().

105  {
106  throw Lookup_Error(algo_name() + " does not support decryption");
107  }
virtual std::string algo_name() const =0
std::unique_ptr< PK_Ops::Encryption > Botan::Public_Key::create_encryption_op ( RandomNumberGenerator rng,
const std::string &  params,
const std::string &  provider 
) const
virtualinherited

This is an internal library function exposed on key types. In almost all cases applications should use wrappers in pubkey.h

Return an encryption operation for this key/params or throw

Parameters
rnga random number generator. The PK_Op may maintain a reference to the RNG and use it many times. The rng must outlive any operations which reference it.
paramsadditional parameters
providerthe provider to use

Reimplemented in Botan::RSA_PublicKey, and Botan::ElGamal_PublicKey.

Definition at line 79 of file pk_keys.cpp.

References Botan::Public_Key::algo_name().

Referenced by Botan::PK_Encryptor_EME::PK_Encryptor_EME().

82  {
83  throw Lookup_Error(algo_name() + " does not support encryption");
84  }
virtual std::string algo_name() const =0
std::unique_ptr< PK_Ops::KEM_Decryption > Botan::Private_Key::create_kem_decryption_op ( RandomNumberGenerator rng,
const std::string &  params,
const std::string &  provider 
) const
virtualinherited

This is an internal library function exposed on key types. In almost all cases applications should use wrappers in pubkey.h

Return a KEM decryption operation for this key/params or throw

Parameters
rnga random number generator. The PK_Op may maintain a reference to the RNG and use it many times. The rng must outlive any operations which reference it.
paramsadditional parameters
providerthe provider to use

Reimplemented in Botan::RSA_PrivateKey, and Botan::McEliece_PrivateKey.

Definition at line 110 of file pk_keys.cpp.

References Botan::Public_Key::algo_name().

Referenced by Botan::PK_KEM_Decryptor::PK_KEM_Decryptor().

113  {
114  throw Lookup_Error(algo_name() + " does not support KEM decryption");
115  }
virtual std::string algo_name() const =0
std::unique_ptr< PK_Ops::KEM_Encryption > Botan::Public_Key::create_kem_encryption_op ( RandomNumberGenerator rng,
const std::string &  params,
const std::string &  provider 
) const
virtualinherited

This is an internal library function exposed on key types. In almost all cases applications should use wrappers in pubkey.h

Return a KEM encryption operation for this key/params or throw

Parameters
rnga random number generator. The PK_Op may maintain a reference to the RNG and use it many times. The rng must outlive any operations which reference it.
paramsadditional parameters
providerthe provider to use

Reimplemented in Botan::RSA_PublicKey, and Botan::McEliece_PublicKey.

Definition at line 87 of file pk_keys.cpp.

References Botan::Public_Key::algo_name().

Referenced by Botan::PK_KEM_Encryptor::PK_KEM_Encryptor().

90  {
91  throw Lookup_Error(algo_name() + " does not support KEM encryption");
92  }
virtual std::string algo_name() const =0
std::unique_ptr< PK_Ops::Key_Agreement > Botan::Private_Key::create_key_agreement_op ( RandomNumberGenerator rng,
const std::string &  params,
const std::string &  provider 
) const
virtualinherited

This is an internal library function exposed on key types. In almost all cases applications should use wrappers in pubkey.h

Return a key agreement operation for this key/params or throw

Parameters
rnga random number generator. The PK_Op may maintain a reference to the RNG and use it many times. The rng must outlive any operations which reference it.
paramsadditional parameters
providerthe provider to use

Reimplemented in Botan::ECDH_PrivateKey, Botan::Curve25519_PrivateKey, and Botan::DH_PrivateKey.

Definition at line 126 of file pk_keys.cpp.

References Botan::Public_Key::algo_name().

Referenced by Botan::PK_Key_Agreement::PK_Key_Agreement().

129  {
130  throw Lookup_Error(algo_name() + " does not support key agreement");
131  }
virtual std::string algo_name() const =0
std::unique_ptr< PK_Ops::Signature > Botan::DSA_PrivateKey::create_signature_op ( RandomNumberGenerator rng,
const std::string &  params,
const std::string &  provider 
) const
overridevirtual

This is an internal library function exposed on key types. In almost all cases applications should use wrappers in pubkey.h

Return a signature operation for this key/params or throw

Parameters
rnga random number generator. The PK_Op may maintain a reference to the RNG and use it many times. The rng must outlive any operations which reference it.
paramsadditional parameters
providerthe provider to use

Reimplemented from Botan::Private_Key.

Definition at line 210 of file dsa.cpp.

213  {
214  if(provider == "base" || provider.empty())
215  return std::unique_ptr<PK_Ops::Signature>(new DSA_Signature_Operation(*this, params));
216  throw Provider_Not_Found(algo_name(), provider);
217  }
std::string algo_name() const override
Definition: dsa.h:21
std::unique_ptr< PK_Ops::Verification > Botan::DSA_PublicKey::create_verification_op ( const std::string &  params,
const std::string &  provider 
) const
overridevirtualinherited

This is an internal library function exposed on key types. In almost all cases applications should use wrappers in pubkey.h

Return a verification operation for this key/params or throw

Parameters
paramsadditional parameters
providerthe provider to use

Reimplemented from Botan::Public_Key.

Definition at line 201 of file dsa.cpp.

203  {
204  if(provider == "base" || provider.empty())
205  return std::unique_ptr<PK_Ops::Verification>(new DSA_Verification_Operation(*this, params));
206  throw Provider_Not_Found(algo_name(), provider);
207  }
std::string algo_name() const override
Definition: dsa.h:21
size_t Botan::DL_Scheme_PublicKey::estimated_strength ( ) const
overridevirtualinherited

Return the estimated strength of the underlying key against the best currently known attack. Note that this ignores anything but pure attacks against the key itself and do not take into account padding schemes, usage mistakes, etc which might reduce the strength. However it does suffice to provide an upper bound.

Returns
estimated strength in bits

Implements Botan::Public_Key.

Definition at line 21 of file dl_algo.cpp.

References Botan::dl_work_factor(), and Botan::DL_Scheme_PublicKey::key_length().

22  {
23  return dl_work_factor(key_length());
24  }
size_t key_length() const override
Definition: dl_algo.cpp:16
size_t dl_work_factor(size_t bits)
Definition: workfactor.cpp:34
std::string Botan::Private_Key::fingerprint ( const std::string &  alg = "SHA") const
inherited
Returns
Hash of the PKCS #8 encoding for this key object

Definition at line 57 of file pk_keys.cpp.

References Botan::HashFunction::create(), hash, Botan::hex_encode(), and Botan::Private_Key::private_key_bits().

Referenced by Botan::Certificate_Store_In_SQL::find_certs_for_key(), Botan::Certificate_Store_In_SQL::insert_key(), and Botan::Certificate_Store_In_SQL::remove_key().

58  {
59  secure_vector<uint8_t> buf = private_key_bits();
60  std::unique_ptr<HashFunction> hash(HashFunction::create(alg));
61  hash->update(buf);
62  const auto hex_print = hex_encode(hash->final());
63 
64  std::string formatted_print;
65 
66  for(size_t i = 0; i != hex_print.size(); i += 2)
67  {
68  formatted_print.push_back(hex_print[i]);
69  formatted_print.push_back(hex_print[i+1]);
70 
71  if(i != hex_print.size() - 2)
72  formatted_print.push_back(':');
73  }
74 
75  return formatted_print;
76  }
virtual secure_vector< uint8_t > private_key_bits() const =0
static std::unique_ptr< HashFunction > create(const std::string &algo_spec, const std::string &provider="")
Definition: hash.cpp:93
void hex_encode(char output[], const uint8_t input[], size_t input_length, bool uppercase)
Definition: hex.cpp:14
MechanismType hash
const DL_Group& Botan::DL_Scheme_PublicKey::get_domain ( ) const
inlineinherited

Get the DL domain parameters of this key.

Returns
DL domain parameters of this key

Definition at line 32 of file dl_algo.h.

32 { return m_group; }
OID Botan::Public_Key::get_oid ( ) const
virtualinherited

Get the OID of the underlying public key scheme.

Returns
OID of the public key scheme

Reimplemented in Botan::XMSS_WOTS_Addressed_PublicKey.

Definition at line 30 of file pk_keys.cpp.

References Botan::Public_Key::algo_name(), and Botan::OIDS::lookup().

Referenced by Botan::DL_Scheme_PublicKey::algorithm_identifier(), Botan::Curve25519_PublicKey::algorithm_identifier(), Botan::McEliece_PublicKey::algorithm_identifier(), Botan::RSA_PublicKey::algorithm_identifier(), Botan::GOST_3410_PublicKey::algorithm_identifier(), Botan::EC_PublicKey::algorithm_identifier(), Botan::TPM_PrivateKey::algorithm_identifier(), and Botan::XMSS_WOTS_Addressed_PublicKey::get_oid().

31  {
32  try {
33  return OIDS::lookup(algo_name());
34  }
35  catch(Lookup_Error&)
36  {
37  throw Lookup_Error("PK algo " + algo_name() + " has no defined OIDs");
38  }
39  }
virtual std::string algo_name() const =0
std::string lookup(const OID &oid)
Definition: oids.cpp:18
const BigInt& Botan::DL_Scheme_PrivateKey::get_x ( ) const
inlineinherited

Get the secret key x.

Returns
secret key

Definition at line 105 of file dl_algo.h.

References m_x.

105 { return m_x; }
const BigInt& Botan::DL_Scheme_PublicKey::get_y ( ) const
inlineinherited

Get the public value y with y = g^x mod p where x is the secret key.

Definition at line 37 of file dl_algo.h.

References m_y.

37 { return m_y; }
DL_Group::Format Botan::DSA_PublicKey::group_format ( ) const
inlineoverridevirtualinherited

Get the underlying groups encoding format.

Returns
encoding format

Implements Botan::DL_Scheme_PublicKey.

Definition at line 23 of file dsa.h.

References Botan::DL_Group::ANSI_X9_57.

const BigInt& Botan::DL_Scheme_PublicKey::group_g ( ) const
inlineinherited

Get the generator g of the underlying DL group.

Returns
generator g

Definition at line 55 of file dl_algo.h.

Referenced by Botan::DL_Scheme_PrivateKey::check_key(), Botan::DH_PrivateKey::DH_PrivateKey(), DSA_PrivateKey(), and Botan::ElGamal_PrivateKey::ElGamal_PrivateKey().

55 { return m_group.get_g(); }
const BigInt & get_g() const
Definition: dl_group.cpp:205
const BigInt& Botan::DL_Scheme_PublicKey::group_p ( ) const
inlineinherited
const BigInt& Botan::DL_Scheme_PublicKey::group_q ( ) const
inlineinherited

Get the prime q of the underlying DL group.

Returns
prime q

Definition at line 49 of file dl_algo.h.

Referenced by Botan::DL_Scheme_PublicKey::check_key(), check_key(), and DSA_PrivateKey().

49 { return m_group.get_q(); }
const BigInt & get_q() const
Definition: dl_group.cpp:214
size_t Botan::DL_Scheme_PublicKey::key_length ( ) const
overridevirtualinherited

Return an integer value best approximating the length of the primary security parameter. For example for RSA this will be the size of the modulus, for ECDSA the size of the ECC group, and for McEliece the size of the code will be returned.

Implements Botan::Public_Key.

Definition at line 16 of file dl_algo.cpp.

References Botan::BigInt::bits(), Botan::DL_Group::get_p(), and Botan::DL_Scheme_PublicKey::m_group.

Referenced by Botan::DL_Scheme_PublicKey::estimated_strength().

17  {
18  return m_group.get_p().bits();
19  }
const BigInt & get_p() const
Definition: dl_group.cpp:196
size_t bits() const
Definition: bigint.cpp:184
size_t Botan::DSA_PublicKey::message_part_size ( ) const
inlineoverridevirtualinherited

Returns how large each of the message parts refered to by message_parts() is

This function is public but applications should have few reasons to ever call this.

Returns
size of the message parts in bits

Reimplemented from Botan::Public_Key.

Definition at line 25 of file dsa.h.

25 { return group_q().bytes(); }
const BigInt & group_q() const
Definition: dl_algo.h:49
size_t bytes() const
Definition: bigint.cpp:176
size_t Botan::DSA_PublicKey::message_parts ( ) const
inlineoverridevirtualinherited

Returns more than 1 if the output of this algorithm (ciphertext, signature) should be treated as more than one value. This is used for algorithms like DSA and ECDSA, where the (r,s) output pair can be encoded as either a plain binary list or a TLV tagged DER encoding depending on the protocol.

This function is public but applications should have few reasons to ever call this.

Returns
number of message parts

Reimplemented from Botan::Public_Key.

Definition at line 24 of file dsa.h.

24 { return 2; }
virtual AlgorithmIdentifier Botan::Private_Key::pkcs8_algorithm_identifier ( ) const
inlinevirtualinherited
Returns
PKCS #8 AlgorithmIdentifier for this key Might be different from the X.509 identifier, but normally is not

Reimplemented in Botan::XMSS_WOTS_PrivateKey, Botan::GOST_3410_PrivateKey, and Botan::XMSS_WOTS_Addressed_PrivateKey.

Definition at line 188 of file pk_keys.h.

Referenced by Botan::Private_Key::private_key_info().

189  { return algorithm_identifier(); }
virtual AlgorithmIdentifier algorithm_identifier() const =0
secure_vector< uint8_t > Botan::DL_Scheme_PrivateKey::private_key_bits ( ) const
overridevirtualinherited
Returns
BER encoded private key bits

Implements Botan::Private_Key.

Definition at line 46 of file dl_algo.cpp.

References Botan::DER_Encoder::encode(), Botan::DER_Encoder::get_contents(), and Botan::DL_Scheme_PrivateKey::m_x.

47  {
48  return DER_Encoder().encode(m_x).get_contents();
49  }
secure_vector< uint8_t > Botan::Private_Key::private_key_info ( ) const
inherited
Returns
PKCS #8 private key encoding for this key object

Definition at line 41 of file pk_keys.cpp.

References Botan::DER_Encoder::encode(), Botan::DER_Encoder::end_cons(), Botan::DER_Encoder::get_contents(), Botan::OCTET_STRING, Botan::Private_Key::pkcs8_algorithm_identifier(), Botan::Private_Key::private_key_bits(), Botan::SEQUENCE, and Botan::DER_Encoder::start_cons().

Referenced by Botan::PKCS8::BER_encode(), Botan::PKCS8::BER_encode_encrypted_pbkdf_iter(), and Botan::PKCS8::BER_encode_encrypted_pbkdf_msec().

42  {
43  const size_t PKCS8_VERSION = 0;
44 
45  return DER_Encoder()
46  .start_cons(SEQUENCE)
47  .encode(PKCS8_VERSION)
49  .encode(private_key_bits(), OCTET_STRING)
50  .end_cons()
51  .get_contents();
52  }
virtual secure_vector< uint8_t > private_key_bits() const =0
virtual AlgorithmIdentifier pkcs8_algorithm_identifier() const
Definition: pk_keys.h:188
std::vector< uint8_t > Botan::DL_Scheme_PublicKey::public_key_bits ( ) const
overridevirtualinherited
Returns
BER encoded public key bits

Implements Botan::Public_Key.

Definition at line 32 of file dl_algo.cpp.

References Botan::DER_Encoder::encode(), Botan::DER_Encoder::get_contents_unlocked(), and Botan::DL_Scheme_PublicKey::m_y.

33  {
34  return DER_Encoder().encode(m_y).get_contents_unlocked();
35  }
std::vector< uint8_t > Botan::Public_Key::subject_public_key ( ) const
inherited
Returns
X.509 subject key encoding for this key object

Definition at line 17 of file pk_keys.cpp.

References Botan::Public_Key::algorithm_identifier(), Botan::BIT_STRING, Botan::DER_Encoder::encode(), Botan::DER_Encoder::end_cons(), Botan::DER_Encoder::get_contents_unlocked(), Botan::Public_Key::public_key_bits(), Botan::SEQUENCE, and Botan::DER_Encoder::start_cons().

Referenced by Botan::X509::BER_encode(), and Botan::X509::PEM_encode().

18  {
19  return DER_Encoder()
20  .start_cons(SEQUENCE)
21  .encode(algorithm_identifier())
22  .encode(public_key_bits(), BIT_STRING)
23  .end_cons()
24  .get_contents_unlocked();
25  }
virtual std::vector< uint8_t > public_key_bits() const =0
virtual AlgorithmIdentifier algorithm_identifier() const =0

Member Data Documentation

DL_Group Botan::DL_Scheme_PublicKey::m_group
protectedinherited
BigInt Botan::DL_Scheme_PrivateKey::m_x
protectedinherited
BigInt Botan::DL_Scheme_PublicKey::m_y
protectedinherited

The documentation for this class was generated from the following files: