#include <dl_group.h>

Public Types
enum	Format { ANSI_X9_42, ANSI_X9_57, PKCS_3, DSA_PARAMETERS = ANSI_X9_57, DH_PARAMETERS = ANSI_X9_42, ANSI_X9_42_DH_PARAMETERS = ANSI_X9_42, PKCS3_DH_PARAMETERS = PKCS_3 }

enum	PrimeType { Strong, Prime_Subgroup, DSA_Kosherizer }

Public Member Functions
void	BER_decode (const std::vector< uint8_t > &ber, Format format)

std::vector< uint8_t >	DER_encode (Format format) const

	DL_Group ()

	DL_Group (const std::string &name)

	DL_Group (RandomNumberGenerator &rng, PrimeType type, size_t pbits, size_t qbits=0)

	DL_Group (RandomNumberGenerator &rng, const std::vector< uint8_t > &seed, size_t pbits=1024, size_t qbits=0)

	DL_Group (const BigInt &p, const BigInt &g)

	DL_Group (const BigInt &p, const BigInt &q, const BigInt &g)

const BigInt &	get_g () const

const BigInt &	get_p () const

const BigInt &	get_q () const

void	PEM_decode (const std::string &pem)

std::string	PEM_encode (Format format) const

bool	verify_group (RandomNumberGenerator &rng, bool strong) const

Static Public Member Functions
static std::string	PEM_for_named_group (const std::string &name)

Detailed Description

This class represents discrete logarithm groups. It holds a prime p, a prime q = (p-1)/2 and g = x^((p-1)/q) mod p.

Definition at line 20 of file dl_group.h.

Member Enumeration Documentation

◆ Format

enum Botan::DL_Group::Format

The DL group encoding format variants.

Enumerator
ANSI_X9_42
ANSI_X9_57
PKCS_3
DSA_PARAMETERS
DH_PARAMETERS
ANSI_X9_42_DH_PARAMETERS
PKCS3_DH_PARAMETERS

Definition at line 45 of file dl_group.h.

                   {
          ANSI_X9_42,
          ANSI_X9_57,
          PKCS_3,
 
          DSA_PARAMETERS = ANSI_X9_57,
          DH_PARAMETERS = ANSI_X9_42,
          ANSI_X9_42_DH_PARAMETERS = ANSI_X9_42,
          PKCS3_DH_PARAMETERS = PKCS_3
       };

◆ PrimeType

enum Botan::DL_Group::PrimeType

Determine the prime creation for DL groups.

Enumerator
Strong
Prime_Subgroup
DSA_Kosherizer

Definition at line 59 of file dl_group.h.

59 { Strong, Prime_Subgroup, DSA_Kosherizer };

Botan::DL_Group::Prime_Subgroup

Definition: dl_group.h:59

Botan::DL_Group::Strong

Definition: dl_group.h:59

Botan::DL_Group::DSA_Kosherizer

Definition: dl_group.h:59

Constructor & Destructor Documentation

◆ DL_Group() [1/6]

Botan::DL_Group::DL_Group ( )

Construct a DL group with uninitialized internal value. Use this constructor is you wish to set the groups values from a DER or PEM encoded group.

Definition at line 22 of file dl_group.cpp.

    {
    m_initialized = false;
    }

◆ DL_Group() [2/6]

Botan::DL_Group::DL_Group ( const std::string & name )

Construct a DL group that is registered in the configuration.

Parameters

name	the name that is configured in the global configuration for the desired group. If no configuration file is specified, the default values from the file policy.cpp will be used. For instance, use "modp/ietf/3072".

Definition at line 30 of file dl_group.cpp.

References PEM_decode(), and PEM_for_named_group().

    {
    const std::string pem = PEM_for_named_group(name);
 
    if(pem == "")
       throw Invalid_Argument("DL_Group: Unknown group " + name);
 
    PEM_decode(pem);
    }

◆ DL_Group() [3/6]

Botan::DL_Group::DL_Group	(	RandomNumberGenerator &	rng,
		PrimeType	type,
		size_t	pbits,
		size_t	qbits = `0`
	)

Create a new group randomly.

Parameters

rng	the random number generator to use
type	specifies how the creation of primes p and q shall be performed. If type=Strong, then p will be determined as a safe prime, and q will be chosen as (p-1)/2. If type=Prime_Subgroup and qbits = 0, then the size of q will be determined according to the estimated difficulty of the DL problem. If type=DSA_Kosherizer, DSA primes will be created.
pbits	the number of bits of p
qbits	the number of bits of q. Leave it as 0 to have the value determined according to pbits.

Definition at line 43 of file dl_group.cpp.

References Botan::BigInt::bits(), Botan::dl_exponent_size(), DSA_Kosherizer, Botan::generate_dsa_primes(), Botan::is_prime(), Botan::jacobi(), Prime_Subgroup, Botan::PRIME_TABLE_SIZE, Botan::PRIMES, Botan::random_prime(), Botan::random_safe_prime(), Botan::BigInt::randomize(), Strong, and Botan::ASN1::to_string().

    {
    if(pbits < 1024)
       throw Invalid_Argument("DL_Group: prime size " + std::to_string(pbits) +
                              " is too small");
 
    if(type == Strong)
       {
       m_p = random_safe_prime(rng, pbits);
       m_q = (m_p - 1) / 2;
       m_g = 2;
 
       /*
       Always choose a generator that is quadratic reside mod p,
       this forces g to be a generator of the subgroup of size q.
       */
       if(jacobi(m_g, m_p) != 1)
          {
          // prime table does not contain 2
          for(size_t i = 0; i < PRIME_TABLE_SIZE; ++i)
             {
             m_g = PRIMES[i];
             if(jacobi(m_g, m_p) == 1)
                break;
             }
          }
       }
    else if(type == Prime_Subgroup)
       {
       if(!qbits)
          qbits = dl_exponent_size(pbits);
 
       m_q = random_prime(rng, qbits);
       BigInt X;
       while(m_p.bits() != pbits || !is_prime(m_p, rng))
          {
          X.randomize(rng, pbits);
          m_p = X - (X % (2*m_q) - 1);
          }
 
       m_g = make_dsa_generator(m_p, m_q);
       }
    else if(type == DSA_Kosherizer)
       {
       qbits = qbits ? qbits : ((pbits <= 1024) ? 160 : 256);
 
       generate_dsa_primes(rng, m_p, m_q, pbits, qbits);
 
       m_g = make_dsa_generator(m_p, m_q);
       }
 
    m_initialized = true;
    }

◆ DL_Group() [4/6]

Botan::DL_Group::DL_Group	(	RandomNumberGenerator &	rng,
		const std::vector< uint8_t > &	seed,
		size_t	pbits = `1024`,
		size_t	qbits = `0`
	)

Create a DSA group with a given seed.

Parameters

rng	the random number generator to use
seed	the seed to use to create the random primes
pbits	the desired bit size of the prime p
qbits	the desired bit size of the prime q.

Definition at line 101 of file dl_group.cpp.

References Botan::generate_dsa_primes().

    {
    if(!generate_dsa_primes(rng, m_p, m_q, pbits, qbits, seed))
       throw Invalid_Argument("DL_Group: The seed given does not "
                              "generate a DSA group");
 
    m_g = make_dsa_generator(m_p, m_q);
 
    m_initialized = true;
    }

◆ DL_Group() [5/6]

Botan::DL_Group::DL_Group	(	const BigInt &	p,
		const BigInt &	g
	)

Create a DL group. The prime q will be determined according to p.

Parameters

p	the prime p
g	the base g

Definition at line 117 of file dl_group.cpp.

    {
    initialize(p1, 0, g1);
    }

◆ DL_Group() [6/6]

Botan::DL_Group::DL_Group	(	const BigInt &	p,
		const BigInt &	q,
		const BigInt &	g
	)

Create a DL group.

Parameters

p	the prime p
q	the prime q
g	the base g

Definition at line 125 of file dl_group.cpp.

    {
    initialize(p1, q1, g1);
    }

Member Function Documentation

◆ BER_decode()

void Botan::DL_Group::BER_decode	(	const std::vector< uint8_t > &	ber,
		Format	format
	)

Decode a DER/BER encoded group into this instance.

Parameters

ber	a vector containing the DER/BER encoded group
format	the format of the encoded group

Definition at line 285 of file dl_group.cpp.

References ANSI_X9_42, ANSI_X9_57, Botan::BER_Decoder::decode(), Botan::BER_Decoder::discard_remaining(), PKCS_3, Botan::SEQUENCE, Botan::BER_Decoder::start_cons(), Botan::ASN1::to_string(), and Botan::BER_Decoder::verify_end().

Referenced by Botan::DL_Scheme_PrivateKey::DL_Scheme_PrivateKey(), Botan::DL_Scheme_PublicKey::DL_Scheme_PublicKey(), and PEM_decode().

    {
    BigInt new_p, new_q, new_g;
 
    BER_Decoder decoder(data);
    BER_Decoder ber = decoder.start_cons(SEQUENCE);
 
    if(format == ANSI_X9_57)
       {
       ber.decode(new_p)
          .decode(new_q)
          .decode(new_g)
          .verify_end();
       }
    else if(format == ANSI_X9_42)
       {
       ber.decode(new_p)
          .decode(new_g)
          .decode(new_q)
          .discard_remaining();
       }
    else if(format == PKCS_3)
       {
       ber.decode(new_p)
          .decode(new_g)
          .discard_remaining();
       }
    else
       throw Invalid_Argument("Unknown DL_Group encoding " + std::to_string(format));
 
    initialize(new_p, new_q, new_g);
    }

◆ DER_encode()

std::vector< uint8_t > Botan::DL_Group::DER_encode ( Format format ) const

Encode this group into a string using DER encoding.

Parameters

format the encoding format

Returns: string holding the DER encoded group

Definition at line 225 of file dl_group.cpp.

References ANSI_X9_42, ANSI_X9_57, Botan::DER_Encoder::encode(), Botan::DER_Encoder::end_cons(), Botan::DER_Encoder::get_contents_unlocked(), PKCS_3, Botan::SEQUENCE, Botan::DER_Encoder::start_cons(), and Botan::ASN1::to_string().

Referenced by Botan::DL_Scheme_PublicKey::algorithm_identifier(), and PEM_encode().

    {
    init_check();
 
    if((m_q == 0) && (format != PKCS_3))
       throw Encoding_Error("The ANSI DL parameter formats require a subgroup");
 
    if(format == ANSI_X9_57)
       {
       return DER_Encoder()
          .start_cons(SEQUENCE)
             .encode(m_p)
             .encode(m_q)
             .encode(m_g)
          .end_cons()
       .get_contents_unlocked();
       }
    else if(format == ANSI_X9_42)
       {
       return DER_Encoder()
          .start_cons(SEQUENCE)
             .encode(m_p)
             .encode(m_g)
             .encode(m_q)
          .end_cons()
       .get_contents_unlocked();
       }
    else if(format == PKCS_3)
       {
       return DER_Encoder()
          .start_cons(SEQUENCE)
             .encode(m_p)
             .encode(m_g)
          .end_cons()
       .get_contents_unlocked();
       }
 
    throw Invalid_Argument("Unknown DL_Group encoding " + std::to_string(format));
    }

◆ get_g()

const BigInt & Botan::DL_Group::get_g ( ) const

Get the base g.

Returns: base g

Definition at line 205 of file dl_group.cpp.

Referenced by Botan::generate_srp6_verifier(), Botan::TLS::Server_Key_Exchange::Server_Key_Exchange(), Botan::srp6_client_agree(), and Botan::SRP6_Server_Session::step1().

    {
    init_check();
    return m_g;
    }

◆ get_p()

const BigInt & Botan::DL_Group::get_p ( ) const

Get the prime p.

Returns: prime p

Definition at line 196 of file dl_group.cpp.

Referenced by Botan::generate_srp6_verifier(), Botan::DL_Scheme_PublicKey::key_length(), Botan::TLS::Server_Key_Exchange::Server_Key_Exchange(), Botan::srp6_client_agree(), and Botan::SRP6_Server_Session::step1().

    {
    init_check();
    return m_p;
    }

◆ get_q()

const BigInt & Botan::DL_Group::get_q ( ) const

Get the prime q.

Returns: prime q

Definition at line 214 of file dl_group.cpp.

    {
    init_check();
    if(m_q == 0)
       throw Invalid_State("DLP group has no q prime specified");
    return m_q;
    }

◆ PEM_decode()

void Botan::DL_Group::PEM_decode ( const std::string & pem )

Decode a PEM encoded group into this instance.

Parameters

pem	the PEM encoding of the group

Definition at line 322 of file dl_group.cpp.

References ANSI_X9_42, ANSI_X9_57, BER_decode(), Botan::PEM_Code::decode(), PKCS_3, Botan::power_mod(), Botan::PRIME_TABLE_SIZE, Botan::PRIMES, and Botan::unlock().

Referenced by DL_Group().

    {
    std::string label;
 
    auto ber = unlock(PEM_Code::decode(pem, label));
 
    if(label == "DH PARAMETERS")
       BER_decode(ber, PKCS_3);
    else if(label == "DSA PARAMETERS")
       BER_decode(ber, ANSI_X9_57);
    else if(label == "X942 DH PARAMETERS" || label == "X9.42 DH PARAMETERS")
       BER_decode(ber, ANSI_X9_42);
    else
       throw Decoding_Error("DL_Group: Invalid PEM label " + label);
    }

◆ PEM_encode()

std::string Botan::DL_Group::PEM_encode ( Format format ) const

Encode this group into a string using PEM encoding.

Parameters

format the encoding format

Returns: string holding the PEM encoded group

Definition at line 268 of file dl_group.cpp.

References ANSI_X9_42, ANSI_X9_57, DER_encode(), Botan::PEM_Code::encode(), PKCS_3, and Botan::ASN1::to_string().

    {
    const std::vector<uint8_t> encoding = DER_encode(format);
 
    if(format == PKCS_3)
       return PEM_Code::encode(encoding, "DH PARAMETERS");
    else if(format == ANSI_X9_57)
       return PEM_Code::encode(encoding, "DSA PARAMETERS");
    else if(format == ANSI_X9_42)
       return PEM_Code::encode(encoding, "X9.42 DH PARAMETERS");
    else
       throw Invalid_Argument("Unknown DL_Group encoding " + std::to_string(format));
    }

◆ PEM_for_named_group()

std::string Botan::DL_Group::PEM_for_named_group ( const std::string & name )

static

Return PEM representation of named DL group

Definition at line 12 of file dl_named.cpp.

Referenced by DL_Group().

    {
    if(name == "modp/ietf/1024")
       return
          "-----BEGIN X942 DH PARAMETERS-----"
          "MIIBCgKBgQD//////////8kP2qIhaMI0xMZii4DcHNEpAk4IimfMdAILvqY7E5si"
          "UUoIeY40BN3vlRmzzTpDGzArCm3yXxQ3T+E1bW1RwkXkhbV2Yl5+xvRMQummN+1r"
          "C/9ctvQGt+3uOGv7Womfpa6fJBF8Sx/mSShmUezmU4H//////////wIBAgKBgH//"
          "////////5IftURC0YRpiYzFFwG4OaJSBJwRFM+Y6AQXfUx2JzZEopQQ8xxoCbvfK"
          "jNnmnSGNmBWFNvkvihun8Jq2tqjhIvJC2rsxLz9jeiYhdNMb9rWF/65begNb9vcc"
          "Nf2tRM/S10+SCL4lj/MklDMo9nMpwP//////////"
          "-----END X942 DH PARAMETERS-----";
 
    if(name == "modp/srp/1024")
       return
          "-----BEGIN X942 DH PARAMETERS-----"
          "MIIBCgKBgQDurwq5rbON1pwz+Ar6j8XoYHJhh3X/PAueojFMnCVldtZ033SW6oHT"
          "ODtIE9aSxuDg1djiULmL5I5JXB1gidrRXcfXtGFU1rbOjvStabFdSYJVmyl7zxiF"
          "xSn1ZmYOV+xo7bw8BXJswC/Uy/SXbqqa/VE4/oN2Q1ufxh0vwOsG4wIBAgKBgHdX"
          "hVzW2cbrThn8BX1H4vQwOTDDuv+eBc9RGKZOErK7azpvukt1QOmcHaQJ60ljcHBq"
          "7HEoXMXyRySuDrBE7Wiu4+vaMKprW2dHela02K6kwSrNlL3njELilPqzMwcr9jR2"
          "3h4CuTZgF+pl+ku3VU1+qJx/Qbshrc/jDpfgdYNx"
          "-----END X942 DH PARAMETERS-----";
 
    if(name == "modp/ietf/1536")
       return
          "-----BEGIN X942 DH PARAMETERS-----"
          "MIIBigKBwQD//////////8kP2qIhaMI0xMZii4DcHNEpAk4IimfMdAILvqY7E5si"
          "UUoIeY40BN3vlRmzzTpDGzArCm3yXxQ3T+E1bW1RwkXkhbV2Yl5+xvRMQummN+1r"
          "C/9ctvQGt+3uOGv7Womfpa6fJBF8Sx/mSShmUezkWz3CAHy4oWO/BZjaSDYcVdOa"
          "aRY/qP0kz1+DZV0j3KOtlhxi81YghVK7ntUpB3CWlm1nDDVOSryYBPF0bAjKI3Mn"
          "//////////8CAQICgcB//////////+SH7VEQtGEaYmMxRcBuDmiUgScERTPmOgEF"
          "31Mdic2RKKUEPMcaAm73yozZ5p0hjZgVhTb5L4obp/Catrao4SLyQtq7MS8/Y3om"
          "IXTTG/a1hf+uW3oDW/b3HDX9rUTP0tdPkgi+JY/zJJQzKPZyLZ7hAD5cULHfgsxt"
          "JBsOKunNNIsf1H6SZ6/Bsq6R7lHWyw4xeasQQqldz2qUg7hLSzazhhqnJV5MAni6"
          "NgRlEbmT//////////8="
          "-----END X942 DH PARAMETERS-----";
 
    if(name == "modp/srp/1536")
       return
          "-----BEGIN DH PARAMETERS-----"
          "MIHHAoHBAJ3vPK+5OSd6sfEqhheke7vbpR30maxMgL7uqWFLGcxNX09fVW4ny95R"
          "xqlL5GB6KRVYkDug0PhDgLZVu5oi6NzfAop87Gfw0IE0sci5eYkUm2CeC+O6tj1H"
          "VIOB28Wx/HZOP0tT3Z2hFYv9PiucjPVu3wGVOTSWJ9sv1T0kt8SGZXcuQ31sf4zk"
          "QnNK98y3roN8Jkrjqb64f4ov6bi1KS5aAh//XpFHnoznoowkQsbzFRgPk0maI03P"
          "duP+0TX5uwIBAg=="
          "-----END DH PARAMETERS-----";
 
    if(name == "modp/ietf/2048")
       return
          "-----BEGIN X942 DH PARAMETERS-----"
          "MIICDAKCAQEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqsqmj//////////wIBAgKCAQB//////////+SH7VEQtGEa"
          "YmMxRcBuDmiUgScERTPmOgEF31Mdic2RKKUEPMcaAm73yozZ5p0hjZgVhTb5L4ob"
          "p/Catrao4SLyQtq7MS8/Y3omIXTTG/a1hf+uW3oDW/b3HDX9rUTP0tdPkgi+JY/z"
          "JJQzKPZyLZ7hAD5cULHfgsxtJBsOKunNNIsf1H6SZ6/Bsq6R7lHWyw4xeasQQqld"
          "z2qUg7hLSzazhhqnJV5MAni6NgRlDBC+GUgvIxcbZx3xzzuWDAdDAc2TwdF2A9FH"
          "2uKu+DemKWTvFeX7SqwLjBzKpL51SrVyiukTDEx9AogKuUctRVZVNH//////////"
          "-----END X942 DH PARAMETERS-----";
 
    if(name == "modp/srp/2048")
       return
          "-----BEGIN X942 DH PARAMETERS-----"
          "MIICDAKCAQEArGvbQTJKmpvxZt5eE4lYL69ytmUZh+4H/DGSlD21YFCjcynLtKCZ"
          "7YGT4HV3Z6E91SMSq0sDMQ3Nf0ip2gT9UOgIOWntt2ewz2CVF5oWOrNmGgX71fqq"
          "6CkYqZYvC5O4Vfl5k+yXXuqoDXQK2/T/dHNZ0EHVwz6nHSgeRGsUdzvKl7Q6I/uA"
          "Fna9IHpDbGSB8dK5B4cXRhpbnTLmiPh3SFRFI7UksNV9Xqd6J3XS7PoDLPvb9S+z"
          "eGFgJ5AE5Xrmr4dOcwPOUymczAQce8MI2CpWmPOo0MOCca41+Onb+7aUtcgD2J96"
          "5DXeI21SX1R1m2XjcvzWjvIPpxEfnkr/cwIBAgKCAQBWNe2gmSVNTfizby8JxKwX"
          "17lbMozD9wP+GMlKHtqwKFG5lOXaUEz2wMnwOruz0J7qkYlVpYGYhua/pFTtAn6o"
          "dAQctPbbs9hnsEqLzQsdWbMNAv3q/VV0FIxUyxeFydwq/LzJ9kuvdVQGugVt+n+6"
          "OazoIOrhn1OOlA8iNYo7neVL2h0R/cALO16QPSG2MkD46VyDw4ujDS3OmXNEfDuk"
          "KiKR2pJYar6vU70Tuul2fQGWfe36l9m8MLATyAJyvXNXw6c5gecplM5mAg494YRs"
          "FStMedRoYcE41xr8dO3920pa5AHsT71yGu8RtqkvqjrNsvG5fmtHeQfTiI/PJX+5"
          "-----END X942 DH PARAMETERS-----";
 
    if(name == "modp/ietf/3072")
       return
          "-----BEGIN X942 DH PARAMETERS-----"
          "MIIDDAKCAYEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
          "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
          "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqTrS"
          "yv//////////AgECAoIBgH//////////5IftURC0YRpiYzFFwG4OaJSBJwRFM+Y6"
          "AQXfUx2JzZEopQQ8xxoCbvfKjNnmnSGNmBWFNvkvihun8Jq2tqjhIvJC2rsxLz9j"
          "eiYhdNMb9rWF/65begNb9vccNf2tRM/S10+SCL4lj/MklDMo9nItnuEAPlxQsd+C"
          "zG0kGw4q6c00ix/UfpJnr8GyrpHuUdbLDjF5qxBCqV3PapSDuEtLNrOGGqclXkwC"
          "eLo2BGUMEL4ZSC8jFxtnHfHPO5YMB0MBzZPB0XYD0Ufa4q74N6YpZO8V5ftKrAuM"
          "HMqkvnVKtXKK6RMMTH0CiAq5Ry1FVWIW1pmLhoIoPRnUKpDV745dMnZ9woIsbfeF"
          "RXU4q66DBj7Zy4fC03DyY9X610ZthJnrj0ZKcCUSsM7ncekTDWl3NfiX/QNsxQQy"
          "bDsBOZ9kNTIpD5WMC72QBl3wi6u9MK62O4TEYF1so3EEcSfQOnLVmKHtrf5wfohH"
          "JcFokFSdaWV//////////w=="
          "-----END X942 DH PARAMETERS-----";
 
    if(name == "modp/srp/3072")
       return
          "-----BEGIN DH PARAMETERS-----"
          "MIIBiAKCAYEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
          "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
          "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqTrS"
          "yv//////////AgEF"
          "-----END DH PARAMETERS-----";
 
    if(name == "modp/ietf/4096")
       return
          "-----BEGIN X942 DH PARAMETERS-----"
          "MIIEDAKCAgEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
          "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
          "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI"
          "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O"
          "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI"
          "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0BjGZ//////////8CAQICggIA"
          "f//////////kh+1RELRhGmJjMUXAbg5olIEnBEUz5joBBd9THYnNkSilBDzHGgJu"
          "98qM2eadIY2YFYU2+S+KG6fwmra2qOEi8kLauzEvP2N6JiF00xv2tYX/rlt6A1v2"
          "9xw1/a1Ez9LXT5IIviWP8ySUMyj2ci2e4QA+XFCx34LMbSQbDirpzTSLH9R+kmev"
          "wbKuke5R1ssOMXmrEEKpXc9qlIO4S0s2s4YapyVeTAJ4ujYEZQwQvhlILyMXG2cd"
          "8c87lgwHQwHNk8HRdgPRR9rirvg3pilk7xXl+0qsC4wcyqS+dUq1corpEwxMfQKI"
          "CrlHLUVVYhbWmYuGgig9GdQqkNXvjl0ydn3Cgixt94VFdTirroMGPtnLh8LTcPJj"
          "1frXRm2EmeuPRkpwJRKwzudx6RMNaXc1+Jf9A2zFBDJsOwE5n2Q1MikPlYwLvZAG"
          "XfCLq70wrrY7hMRgXWyjcQRxJ9A6ctWYoe2t/nB+iEclwWiQVJCEAI05HglTw/Nr"
          "xDjNCF7dLZNM4ZOMNXpxHg1KNBpbCoXtEsH05RVqJnRt3eFtgm9HfJdHfgoP32VT"
          "FD4so6c14C7M2Usn0Ehh0RGd0MMorfP2j7CUuGdxa9fcDe67ELgkDmgDSJPq2C1U"
          "ydp1TEbH7uDDf9vuSFNgR6b6GuSaAxjM//////////8="
          "-----END X942 DH PARAMETERS-----";
 
    if(name == "modp/srp/4096")
       return
          "-----BEGIN DH PARAMETERS-----"
          "MIICCAKCAgEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
          "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
          "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI"
          "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O"
          "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI"
          "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0BjGZ//////////8CAQU="
          "-----END DH PARAMETERS-----";
 
    if(name == "modp/ietf/6144")
       return
          "-----BEGIN DSA PARAMETERS-----"
          "MIIGDAKCAwEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
          "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
          "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI"
          "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O"
          "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI"
          "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0AoSSNsP6tNJ8cCbB1NyyYCZG"
          "3sl1HnY9uje9+P+UBq2eUw7l2zgvQTABrrBqU+2QJ9gxF5cnsIZaiRjaPtvrz5sU"
          "7UTObLrO1Lsb238UR+bMJUszIFFRK9evQm+49AE3jNK/WYPKAcZLkuzwMuoV0XId"
          "A/SC185udP721V5wL0aYDIK1qEAxkAscnlnnyX++x+jzI6l6fjbMiL4PHUW3/1ha"
          "xUvUB7IrQVSqzI9tfr9I4dgUzF7SD4A34KeXFe7ym+MoBqHVi7fF2nb1UKo9ih+/"
          "8OsZzLGjE9Vc2lbJ7C7yljI4f+jXbjwEaAQ+j2Y/SGDuEr8tWwt0dNbmlPkebcxA"
          "JP//////////AoIDAH//////////5IftURC0YRpiYzFFwG4OaJSBJwRFM+Y6AQXf"
          "Ux2JzZEopQQ8xxoCbvfKjNnmnSGNmBWFNvkvihun8Jq2tqjhIvJC2rsxLz9jeiYh"
          "dNMb9rWF/65begNb9vccNf2tRM/S10+SCL4lj/MklDMo9nItnuEAPlxQsd+CzG0k"
          "Gw4q6c00ix/UfpJnr8GyrpHuUdbLDjF5qxBCqV3PapSDuEtLNrOGGqclXkwCeLo2"
          "BGUMEL4ZSC8jFxtnHfHPO5YMB0MBzZPB0XYD0Ufa4q74N6YpZO8V5ftKrAuMHMqk"
          "vnVKtXKK6RMMTH0CiAq5Ry1FVWIW1pmLhoIoPRnUKpDV745dMnZ9woIsbfeFRXU4"
          "q66DBj7Zy4fC03DyY9X610ZthJnrj0ZKcCUSsM7ncekTDWl3NfiX/QNsxQQybDsB"
          "OZ9kNTIpD5WMC72QBl3wi6u9MK62O4TEYF1so3EEcSfQOnLVmKHtrf5wfohHJcFo"
          "kFSQhACNOR4JU8Pza8Q4zQhe3S2TTOGTjDV6cR4NSjQaWwqF7RLB9OUVaiZ0bd3h"
          "bYJvR3yXR34KD99lUxQ+LKOnNeAuzNlLJ9BIYdERndDDKK3z9o+wlLhncWvX3A3u"
          "uxC4JA5oA0iT6tgtVMnadUxGx+7gw3/b7khTYEem+hrkmgFCSRth/VppPjgTYOpu"
          "WTATI29kuo87Ht0b3vx/ygNWzymHcu2cF6CYANdYNSn2yBPsGIvLk9hDLUSMbR9t"
          "9efNinaiZzZdZ2pdje2/iiPzZhKlmZAoqJXr16E33HoAm8ZpX6zB5QDjJcl2eBl1"
          "Cui5DoH6QWvnNzp/e2qvOBejTAZBWtQgGMgFjk8s8+S/32P0eZHUvT8bZkRfB46i"
          "2/+sLWKl6gPZFaCqVWZHtr9fpHDsCmYvaQfAG/BTy4r3eU3xlANQ6sXb4u07eqhV"
          "HsUP3/h1jOZY0Ynqrm0rZPYXeUsZHD/0a7ceAjQCH0ezH6Qwdwlflq2Fujprc0p8"
          "jzbmIBJ//////////wIBAg=="
          "-----END DSA PARAMETERS-----";
 
    if(name == "modp/srp/6144")
       return
          "-----BEGIN DH PARAMETERS-----"
          "MIIDCAKCAwEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
          "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
          "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI"
          "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O"
          "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI"
          "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0AoSSNsP6tNJ8cCbB1NyyYCZG"
          "3sl1HnY9uje9+P+UBq2eUw7l2zgvQTABrrBqU+2QJ9gxF5cnsIZaiRjaPtvrz5sU"
          "7UTObLrO1Lsb238UR+bMJUszIFFRK9evQm+49AE3jNK/WYPKAcZLkuzwMuoV0XId"
          "A/SC185udP721V5wL0aYDIK1qEAxkAscnlnnyX++x+jzI6l6fjbMiL4PHUW3/1ha"
          "xUvUB7IrQVSqzI9tfr9I4dgUzF7SD4A34KeXFe7ym+MoBqHVi7fF2nb1UKo9ih+/"
          "8OsZzLGjE9Vc2lbJ7C7yljI4f+jXbjwEaAQ+j2Y/SGDuEr8tWwt0dNbmlPkebcxA"
          "JP//////////AgEF"
          "-----END DH PARAMETERS-----";
 
    if(name == "modp/ietf/8192")
       return
          "-----BEGIN DSA PARAMETERS-----"
          "MIIIDAKCBAEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
          "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
          "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI"
          "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O"
          "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI"
          "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0AoSSNsP6tNJ8cCbB1NyyYCZG"
          "3sl1HnY9uje9+P+UBq2eUw7l2zgvQTABrrBqU+2QJ9gxF5cnsIZaiRjaPtvrz5sU"
          "7UTObLrO1Lsb238UR+bMJUszIFFRK9evQm+49AE3jNK/WYPKAcZLkuzwMuoV0XId"
          "A/SC185udP721V5wL0aYDIK1qEAxkAscnlnnyX++x+jzI6l6fjbMiL4PHUW3/1ha"
          "xUvUB7IrQVSqzI9tfr9I4dgUzF7SD4A34KeXFe7ym+MoBqHVi7fF2nb1UKo9ih+/"
          "8OsZzLGjE9Vc2lbJ7C7yljI4f+jXbjwEaAQ+j2Y/SGDuEr8tWwt0dNbmlPkebb4R"
          "WXSjkm8S/uXkOHd8tqky34zYvsTQc7kxujvIMraNndMAdB+nv4r8R+0ldvaTa6Qk"
          "ZjqrY5xa5PVoNCO0dCvxyXgjjxbL451lLeP9uL78hIrZIiIuBKQDfAcT61eoGiPw"
          "xzRz/GRs6jBrS8vIhi+Dhd36nUt/osCH6HloMwPtW906Bis89bOieKZtKhP4P0T4"
          "Ld8xDuB0q2o2RZfomaAlXcFk8xzFCEaFHfmrSBld7X6hsdUQvX7nTXP682vDHs+i"
          "aDWQRvTrh5+SQAlDi0gcbNeImgAu1e44K8kZDab8Am5HlVjkR1Z36aqeMFDidlaU"
          "38gfVuiAuW5xYMmA3Zjt09///////////wKCBAB//////////+SH7VEQtGEaYmMx"
          "RcBuDmiUgScERTPmOgEF31Mdic2RKKUEPMcaAm73yozZ5p0hjZgVhTb5L4obp/Ca"
          "trao4SLyQtq7MS8/Y3omIXTTG/a1hf+uW3oDW/b3HDX9rUTP0tdPkgi+JY/zJJQz"
          "KPZyLZ7hAD5cULHfgsxtJBsOKunNNIsf1H6SZ6/Bsq6R7lHWyw4xeasQQqldz2qU"
          "g7hLSzazhhqnJV5MAni6NgRlDBC+GUgvIxcbZx3xzzuWDAdDAc2TwdF2A9FH2uKu"
          "+DemKWTvFeX7SqwLjBzKpL51SrVyiukTDEx9AogKuUctRVViFtaZi4aCKD0Z1CqQ"
          "1e+OXTJ2fcKCLG33hUV1OKuugwY+2cuHwtNw8mPV+tdGbYSZ649GSnAlErDO53Hp"
          "Ew1pdzX4l/0DbMUEMmw7ATmfZDUyKQ+VjAu9kAZd8IurvTCutjuExGBdbKNxBHEn"
          "0Dpy1Zih7a3+cH6IRyXBaJBUkIQAjTkeCVPD82vEOM0IXt0tk0zhk4w1enEeDUo0"
          "GlsKhe0SwfTlFWomdG3d4W2Cb0d8l0d+Cg/fZVMUPiyjpzXgLszZSyfQSGHREZ3Q"
          "wyit8/aPsJS4Z3Fr19wN7rsQuCQOaANIk+rYLVTJ2nVMRsfu4MN/2+5IU2BHpvoa"
          "5JoBQkkbYf1aaT44E2DqblkwEyNvZLqPOx7dG978f8oDVs8ph3LtnBegmADXWDUp"
          "9sgT7BiLy5PYQy1EjG0fbfXnzYp2omc2XWdqXY3tv4oj82YSpZmQKKiV69ehN9x6"
          "AJvGaV+sweUA4yXJdngZdQrouQ6B+kFr5zc6f3tqrzgXo0wGQVrUIBjIBY5PLPPk"
          "v99j9HmR1L0/G2ZEXweOotv/rC1ipeoD2RWgqlVmR7a/X6Rw7ApmL2kHwBvwU8uK"
          "93lN8ZQDUOrF2+LtO3qoVR7FD9/4dYzmWNGJ6q5tK2T2F3lLGRw/9Gu3HgI0Ah9H"
          "sx+kMHcJX5athbo6a3NKfI823wisulHJN4l/cvIcO75bVJlvxmxfYmg53JjdHeQZ"
          "W0bO6YA6D9PfxX4j9pK7e0m10hIzHVWxzi1yerQaEdo6FfjkvBHHi2XxzrKW8f7c"
          "X35CRWyRERcCUgG+A4n1q9QNEfhjmjn+MjZ1GDWl5eRDF8HC7v1Opb/RYEP0PLQZ"
          "gfat7p0DFZ562dE8UzaVCfwfonwW75iHcDpVtRsiy/RM0BKu4LJ5jmKEI0KO/NWk"
          "DK72v1DY6ohev3Omuf15teGPZ9E0GsgjenXDz8kgBKHFpA42a8RNABdq9xwV5IyG"
          "034BNyPKrHIjqzv01U8YKHE7K0pv5A+rdEBctziwZMBuzHbp7///////////AgEC"
          "-----END DSA PARAMETERS-----";
 
    if(name == "modp/srp/8192")
       return
          "-----BEGIN DH PARAMETERS-----"
          "MIIECAKCBAEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
          "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
          "awv/XLb0Brft7jhr+1qJn6WunyQRfEsf5kkoZlHs5Fs9wgB8uKFjvwWY2kg2HFXT"
          "mmkWP6j9JM9fg2VdI9yjrZYcYvNWIIVSu57VKQdwlpZtZww1Tkq8mATxdGwIyhgh"
          "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
          "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
          "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
          "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI"
          "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O"
          "+S6O/BQfvsqmKHxZR05rwF2ZspZPoJDDoiM7oYZRW+ftH2EpcM7i16+4G912IXBI"
          "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0AoSSNsP6tNJ8cCbB1NyyYCZG"
          "3sl1HnY9uje9+P+UBq2eUw7l2zgvQTABrrBqU+2QJ9gxF5cnsIZaiRjaPtvrz5sU"
          "7UTObLrO1Lsb238UR+bMJUszIFFRK9evQm+49AE3jNK/WYPKAcZLkuzwMuoV0XId"
          "A/SC185udP721V5wL0aYDIK1qEAxkAscnlnnyX++x+jzI6l6fjbMiL4PHUW3/1ha"
          "xUvUB7IrQVSqzI9tfr9I4dgUzF7SD4A34KeXFe7ym+MoBqHVi7fF2nb1UKo9ih+/"
          "8OsZzLGjE9Vc2lbJ7C7yljI4f+jXbjwEaAQ+j2Y/SGDuEr8tWwt0dNbmlPkebb4R"
          "WXSjkm8S/uXkOHd8tqky34zYvsTQc7kxujvIMraNndMAdB+nv4r8R+0ldvaTa6Qk"
          "ZjqrY5xa5PVoNCO0dCvxyXgjjxbL451lLeP9uL78hIrZIiIuBKQDfAcT61eoGiPw"
          "xzRz/GRs6jBrS8vIhi+Dhd36nUt/osCH6HloMwPtW906Bis89bOieKZtKhP4P0T4"
          "Ld8xDuB0q2o2RZfomaAlXcFk8xzFCEaFHfmrSBld7X6hsdUQvX7nTXP682vDHs+i"
          "aDWQRvTrh5+SQAlDi0gcbNeImgAu1e44K8kZDab8Am5HlVjkR1Z36aqeMFDidlaU"
          "38gfVuiAuW5xYMmA3Zjt09///////////wIBEw=="
          "-----END DH PARAMETERS-----";
 
    if(name == "dsa/jce/1024")
       return
          "-----BEGIN DSA PARAMETERS-----"
          "MIIBHgKBgQD9f1OBHXUSKVLfSpwu7OTn9hG3UjzvRADDHj+AtlEmaUVdQCJR+1k9"
          "jVj6v8X1ujD2y5tVbNeBO4AdNG/yZmC3a5lQpaSfn+gEexAiwk+7qdf+t8Yb+DtX"
          "58aophUPBPuD9tPFHsMCNVQTWhaRMvZ1864rYdcq7/IiAxmd0UgBxwIVAJdgUI8V"
          "IwvMspK5gqLrhAvwWBz1AoGARpYDUS4wJ4zTlHWV2yLuyYJqYyKtyXNE9B10DDJX"
          "JMj577qn1NgD/4xgnc0QDrxb38+tfGpCX66nhuogUOvpg1HqH9of3yTWlHqmuaoj"
          "dmlTgC9NfUqOy6BtGXaKJJH/sW0O+cQ6mbX3FnL/bwoktETQc20E04oaEyLa9s3Y"
          "jJ0="
          "-----END DSA PARAMETERS-----";
 
    if(name == "dsa/botan/2048")
       return
          "-----BEGIN DSA PARAMETERS-----"
          "MIICLAKCAQEAkcSKT9+898Aq6V59oSYSK13Shk9Vm4fo50oobVL1m9HeaN/WRdDg"
          "DGDAgAMYkZgDdO61lKUyv9Z7mgnqxLhmOgeRDmjzlGX7cEDSXfE5MuusQ0elMOy6"
          "YchU+biA08DDZgCAWHxFVm2t4mvVo5S+CTtMDyS1r/747GxbPlf7iQJam8FnaZMh"
          "MeFtPJTvyrGNDfBhIDzFPmEDvHLVWUv9QMplOA9EqahR3LB1SV/AM6ilgHGhvXj+"
          "BS9mVVZI60txnSr+i0iA+NrW8VgYuhePiSdMhwvpuW6wjEbEAEDMLv4d+xsYaN0x"
          "nePDSjKmOrbrEiQgmkGWgMx5AtFyjU354QIhAIzX1FD4bwrZTu5M5GmodW0evRBY"
          "JBlD6v+ws1RYXpJNAoIBAA2fXgdhtNvRgz1qsalhoJlsXyIwP3LYTBQPZ8Qx2Uq1"
          "cVvqgaDJjTnOS8941rnryJXTT+idlAkdWEhhXvFfXobxHZb2yWniA936WDVkIKSc"
          "tES1lbkBqTPP4HZ7WU8YoHt/kd7NukRriJkPePL/kfL+fNQ/0uRtGOraH3u2YCxh"
          "f27zpLKE8v2boQo2BC3o+oeiyjZZf+yBFXoUheRAQd8CgwERy4gLvm7UlIFIhvll"
          "zcMTX1zPE4Nyi/ZbgG+WksCxDWxMCcdabKO0ATyxarLBBfa+I66pAA6rIXiYX5cs"
          "mAV+HIbkTnIYaI6krg82NtzKdFydzU5q/7Z8y8E9YTE="
          "-----END DSA PARAMETERS-----";
 
    if(name == "dsa/botan/3072")
       return
          "-----BEGIN DSA PARAMETERS-----"
          "MIIDLAKCAYEA5LUIgHWWY1heFCRgyi2d/xMviuTIQN2jomZoiRJP5WOLhOiim3rz"
          "+hIJvmv8S1By7Tsrc4e68/hX9HioAijvNgC3az3Pth0g00RlslBtLK+H3259wM6R"
          "vS0Wekb2rcwxxTHk+cervbkq3fNbCoBsZikqX14X6WTdCZkDczrEKKs12A6m9oW/"
          "uovkBo5UGK5eytno/wc94rY+Tn6tNciptwtb1Hz7iNNztm83kxk5sKtxvVWVgJCG"
          "2gFVM30YWg5Ps2pRmxtiArhZHmACRJzxzTpmOE9tIHOxzXO+ypO68eGmEX0COPIi"
          "rh7X/tGFqJDn9n+rj+uXU8wTSlGD3+h64llfe1wtn7tCJJ/dWVE+HTOWs+sv2GaE"
          "8oWoRI/nV6ApiBxAdguU75Gb35dAw4OJWZ7FGm6btRmo4GhJHpzgovz+PLYNZs8N"
          "+tIKjsaEBIaEphREV1vRck1zUrRKdgB3s71r04XOWwpyUMwL92jagpI4Buuc+7E4"
          "hDcxthggjHWbAiEAs+vTZOxp74zzuvZDt1c0sWM5suSeXN4bWcHp+0DuDFsCggGA"
          "K+0h7vg5ZKIwrom7px2ffDnFL8gim047x+WUTTKdoQ8BDqyee69sAJ/E6ylgcj4r"
          "Vt9GY+TDrIAOkljeL3ZJ0gZ4KJP4Ze/KSY0u7zAHTqXop6smJxKk2UovOwuaku5A"
          "D7OKPMWaXcfkNtXABLIuNQKDgbUck0B+sy1K4P1Cy0XhLQ7O6KJiOO3iCCp7FSIR"
          "PGbO+NdFxs88uUX4TS9N4W1Epx3hmCcOE/A1U8iLjTI60LlIob8hA6lJl5tu0W+1"
          "88lT2Vt8jojKZ9z1pjb7nKOdkkIV96iE7Wx+48ltjZcVQnl0t8Q1EoLhPTdz99KL"
          "RS8QiSoTx1hzKN6kgntrNpsqjcFyrcWD9R8qZZjFSD5bxGewL5HQWcQC0Y4sJoD3"
          "dqoG9JKAoscsF8xC1bbnQMXEsas8UcLtCSviotiwU65Xc9FCXtKwjwbi3VBZLfGk"
          "eMFVkc39EVZP+I/zi3IdQjkv2kcyEtz9jS2IqXagCv/m//tDCjWeZMorNRyiQSOU"
          "-----END DSA PARAMETERS-----";
 
    return "";
    }

◆ verify_group()

bool Botan::DL_Group::verify_group	(	RandomNumberGenerator &	rng,
		bool	strong
	)		const

Perform validity checks on the group.

Parameters

rng	the rng to use
strong	whether to perform stronger by lengthier tests

Returns: true if the object is consistent, false otherwise

Definition at line 161 of file dl_group.cpp.

References Botan::is_prime(), and Botan::power_mod().

Referenced by Botan::DL_Scheme_PublicKey::check_key(), Botan::DL_Scheme_PrivateKey::check_key(), and Botan::TLS::Client_Key_Exchange::Client_Key_Exchange().

    {
    init_check();
 
    if(m_g < 2 || m_p < 3 || m_q < 0)
       return false;
 
    const size_t prob = (strong) ? 128 : 10;
 
    if(m_q != 0)
       {
       if((m_p - 1) % m_q != 0)
          {
          return false;
          }
       if(power_mod(m_g, m_q, m_p) != 1)
          {
          return false;
          }
       if(!is_prime(m_q, rng, prob))
          {
          return false;
          }
       }
    if(!is_prime(m_p, rng, prob))
       {
       return false;
       }
    return true;
    }

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

src/lib/pubkey/dl_group/dl_group.h
src/lib/pubkey/dl_group/dl_group.cpp
src/lib/pubkey/dl_group/dl_named.cpp

Public Types

Public Member Functions

Static Public Member Functions

Detailed Description

Member Enumeration Documentation

◆ Format

◆ PrimeType

Constructor & Destructor Documentation

◆ DL_Group() [1/6]

◆ DL_Group() [2/6]

◆ DL_Group() [3/6]

◆ DL_Group() [4/6]

◆ DL_Group() [5/6]

◆ DL_Group() [6/6]

Member Function Documentation

◆ BER_decode()

◆ DER_encode()

◆ get_g()

◆ get_p()

◆ get_q()

◆ PEM_decode()

◆ PEM_encode()

◆ PEM_for_named_group()

◆ verify_group()