Botan  1.11.15
Public Types | Public Member Functions | Static Public Member Functions
Botan::DL_Group Class Reference

#include <dl_group.h>

List of all members.

Public Types

enum  Format {
  ANSI_X9_42, ANSI_X9_57, PKCS_3, DSA_PARAMETERS = ANSI_X9_57,
  DH_PARAMETERS = ANSI_X9_42, X942_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< byte > &ber, Format format)
std::vector< byteDER_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< byte > &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 BigIntget_g () const
const BigIntget_p () const
const BigIntget_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 const char * 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

The DL group encoding format variants.

Enumerator:
ANSI_X9_42 
ANSI_X9_57 
PKCS_3 
DSA_PARAMETERS 
DH_PARAMETERS 
X942_DH_PARAMETERS 
PKCS3_DH_PARAMETERS 

Definition at line 45 of file dl_group.h.

Determine the prime creation for DL groups.

Enumerator:
Strong 
Prime_Subgroup 
DSA_Kosherizer 

Definition at line 59 of file dl_group.h.


Constructor & Destructor Documentation

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 21 of file dl_group.cpp.

   {
   initialized = false;
   }
Botan::DL_Group::DL_Group ( const std::string &  name)

Construct a DL group that is registered in the configuration.

Parameters:
namethe 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/768" as name.

Definition at line 29 of file dl_group.cpp.

References PEM_decode(), and PEM_for_named_group().

   {
   const char* pem = PEM_for_named_group(name);

   if(!pem)
      throw Invalid_Argument("DL_Group: Unknown group " + name);

   PEM_decode(pem);
   }
Botan::DL_Group::DL_Group ( RandomNumberGenerator rng,
PrimeType  type,
size_t  pbits,
size_t  qbits = 0 
)

Create a new group randomly.

Parameters:
rngthe random number generator to use
typespecifies 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.
pbitsthe number of bits of p
qbitsthe number of bits of q. Leave it as 0 to have the value determined according to pbits.

Definition at line 42 of file dl_group.cpp.

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

   {
   if(pbits < 512)
      throw Invalid_Argument("DL_Group: prime size " + std::to_string(pbits) +
                             " is too small");

   if(type == Strong)
      {
      p = random_safe_prime(rng, pbits);
      q = (p - 1) / 2;
      g = 2;
      }
   else if(type == Prime_Subgroup)
      {
      if(!qbits)
         qbits = 2 * dl_work_factor(pbits);

      q = random_prime(rng, qbits);
      BigInt X;
      while(p.bits() != pbits || !is_prime(p, rng))
         {
         X.randomize(rng, pbits);
         p = X - (X % (2*q) - 1);
         }

      g = make_dsa_generator(p, q);
      }
   else if(type == DSA_Kosherizer)
      {
      qbits = qbits ? qbits : ((pbits <= 1024) ? 160 : 256);

      generate_dsa_primes(rng, p, q, pbits, qbits);

      g = make_dsa_generator(p, q);
      }

   initialized = true;
   }
Botan::DL_Group::DL_Group ( RandomNumberGenerator rng,
const std::vector< byte > &  seed,
size_t  pbits = 1024,
size_t  qbits = 0 
)

Create a DSA group with a given seed.

Parameters:
rngthe random number generator to use
seedthe seed to use to create the random primes
pbitsthe desired bit size of the prime p
qbitsthe desired bit size of the prime q.

Definition at line 85 of file dl_group.cpp.

References Botan::generate_dsa_primes().

   {
   if(!generate_dsa_primes(rng, p, q, pbits, qbits, seed))
      throw Invalid_Argument("DL_Group: The seed given does not "
                             "generate a DSA group");

   g = make_dsa_generator(p, q);

   initialized = true;
   }
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:
pthe prime p
gthe base g

Definition at line 101 of file dl_group.cpp.

   {
   initialize(p1, 0, g1);
   }
Botan::DL_Group::DL_Group ( const BigInt p,
const BigInt q,
const BigInt g 
)

Create a DL group.

Parameters:
pthe prime p
qthe prime q
gthe base g

Definition at line 109 of file dl_group.cpp.

   {
   initialize(p1, q1, g1);
   }

Member Function Documentation

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

Decode a DER/BER encoded group into this instance.

Parameters:
bera vector containing the DER/BER encoded group
formatthe format of the encoded group

Definition at line 256 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);
   }
std::vector< byte > Botan::DL_Group::DER_encode ( Format  format) const

Encode this group into a string using DER encoding.

Parameters:
formatthe encoding format
Returns:
string holding the DER encoded group

Definition at line 196 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((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(p)
            .encode(q)
            .encode(g)
         .end_cons()
      .get_contents_unlocked();
      }
   else if(format == ANSI_X9_42)
      {
      return DER_Encoder()
         .start_cons(SEQUENCE)
            .encode(p)
            .encode(g)
            .encode(q)
         .end_cons()
      .get_contents_unlocked();
      }
   else if(format == PKCS_3)
      {
      return DER_Encoder()
         .start_cons(SEQUENCE)
            .encode(p)
            .encode(g)
         .end_cons()
      .get_contents_unlocked();
      }

   throw Invalid_Argument("Unknown DL_Group encoding " + std::to_string(format));
   }
const BigInt & Botan::DL_Group::get_g ( ) const

Get the base g.

Returns:
base g

Definition at line 176 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 g;
   }
const BigInt & Botan::DL_Group::get_p ( ) const
const BigInt & Botan::DL_Group::get_q ( ) const

Get the prime q.

Returns:
prime q

Definition at line 185 of file dl_group.cpp.

   {
   init_check();
   if(q == 0)
      throw Invalid_State("DLP group has no q prime specified");
   return q;
   }
void Botan::DL_Group::PEM_decode ( const std::string &  pem)

Decode a PEM encoded group into this instance.

Parameters:
pemthe PEM encoding of the group

Definition at line 293 of file dl_group.cpp.

References ANSI_X9_42, ANSI_X9_57, BER_decode(), Botan::PEM_Code::decode(), PKCS_3, 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")
      BER_decode(ber, ANSI_X9_42);
   else
      throw Decoding_Error("DL_Group: Invalid PEM label " + label);
   }
std::string Botan::DL_Group::PEM_encode ( Format  format) const

Encode this group into a string using PEM encoding.

Parameters:
formatthe encoding format
Returns:
string holding the PEM encoded group

Definition at line 239 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<byte> 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, "X942 DH PARAMETERS");
   else
      throw Invalid_Argument("Unknown DL_Group encoding " + std::to_string(format));
   }
const char * 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 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"
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         "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
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         "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"
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         "fDKQXkYuNs474553LBgOhgObJ4Oi7Aeij7XFXfBvTFLJ3ivL9pVYFxg5lUl86pVq"
         "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
         "fbOXD4Wm4eTHq/WujNsJM9cejJTgSiVhnc7j0iYa0u5r8S/6BtmKCGTYdgJzPshq"
         "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI"
         "ARpyPBKnh+bXiHGaEL26WyaZwycYavTiPBqUaDS2FQvaJYPpyirUTOjbu8LbBN6O"
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         "HNAGkSfVsFqpk7TqmI2P3cGG/7fckKbAj030Nck0BjGZ//////////8CAQU="
         "-----END DH PARAMETERS-----";

   if(name == "modp/ietf/6144")
      return
         "-----BEGIN X942 DH PARAMETERS-----"
         "MIIGDAKCAwEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
         "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
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         "ZFIfKxgXeyAMu+EXV3phXWx3CYjAutlG4gjiT6B05asxQ9tb/OD9EI5LgtEgqSEI"
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         "xUvUB7IrQVSqzI9tfr9I4dgUzF7SD4A34KeXFe7ym+MoBqHVi7fF2nb1UKo9ih+/"
         "8OsZzLGjE9Vc2lbJ7C7yljI4f+jXbjwEaAQ+j2Y/SGDuEr8tWwt0dNbmlPkebcxA"
         "JP//////////AoIDAH//////////5IftURC0YRpiYzFFwG4OaJSBJwRFM+Y6AQXf"
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         "Cui5DoH6QWvnNzp/e2qvOBejTAZBWtQgGMgFjk8s8+S/32P0eZHUvT8bZkRfB46i"
         "2/+sLWKl6gPZFaCqVWZHtr9fpHDsCmYvaQfAG/BTy4r3eU3xlANQ6sXb4u07eqhV"
         "HsUP3/h1jOZY0Ynqrm0rZPYXeUsZHD/0a7ceAjQCH0ezH6Qwdwlflq2Fujprc0p8"
         "jzbmIBJ//////////wIBAg=="
         "-----END X942 DH PARAMETERS-----";

   if(name == "modp/srp/6144")
      return
         "-----BEGIN DH PARAMETERS-----"
         "MIIDCAKCAwEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
         "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
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         "5RXSJhiY+gUQFXKOWoqqxC2tMxcNBFB6M6hVIavfHLpk7PuFBFjb7wqK6nFXXQYM"
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         "xUvUB7IrQVSqzI9tfr9I4dgUzF7SD4A34KeXFe7ym+MoBqHVi7fF2nb1UKo9ih+/"
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         "JP//////////AgEF"
         "-----END DH PARAMETERS-----";

   if(name == "modp/ietf/8192")
      return
         "-----BEGIN X942 DH PARAMETERS-----"
         "MIIIDAKCBAEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
         "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
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         "wyit8/aPsJS4Z3Fr19wN7rsQuCQOaANIk+rYLVTJ2nVMRsfu4MN/2+5IU2BHpvoa"
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         "93lN8ZQDUOrF2+LtO3qoVR7FD9/4dYzmWNGJ6q5tK2T2F3lLGRw/9Gu3HgI0Ah9H"
         "sx+kMHcJX5athbo6a3NKfI823wisulHJN4l/cvIcO75bVJlvxmxfYmg53JjdHeQZ"
         "W0bO6YA6D9PfxX4j9pK7e0m10hIzHVWxzi1yerQaEdo6FfjkvBHHi2XxzrKW8f7c"
         "X35CRWyRERcCUgG+A4n1q9QNEfhjmjn+MjZ1GDWl5eRDF8HC7v1Opb/RYEP0PLQZ"
         "gfat7p0DFZ562dE8UzaVCfwfonwW75iHcDpVtRsiy/RM0BKu4LJ5jmKEI0KO/NWk"
         "DK72v1DY6ohev3Omuf15teGPZ9E0GsgjenXDz8kgBKHFpA42a8RNABdq9xwV5IyG"
         "034BNyPKrHIjqzv01U8YKHE7K0pv5A+rdEBctziwZMBuzHbp7///////////AgEC"
         "-----END X942 DH PARAMETERS-----";

   if(name == "modp/srp/8192")
      return
         "-----BEGIN DH PARAMETERS-----"
         "MIIECAKCBAEA///////////JD9qiIWjCNMTGYouA3BzRKQJOCIpnzHQCC76mOxOb"
         "IlFKCHmONATd75UZs806QxswKwpt8l8UN0/hNW1tUcJF5IW1dmJefsb0TELppjft"
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         "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 nullptr;
   }
bool Botan::DL_Group::verify_group ( RandomNumberGenerator rng,
bool  strong 
) const

Perform validity checks on the group.

Parameters:
rngthe rng to use
strongwhether to perform stronger by lengthier tests
Returns:
true if the object is consistent, false otherwise

Definition at line 145 of file dl_group.cpp.

References Botan::is_prime().

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(g < 2 || p < 3 || q < 0)
      return false;
   if((q != 0) && ((p - 1) % q != 0))
      return false;

   const size_t prob = (strong) ? 56 : 10;

   if(!is_prime(p, rng, prob))
      return false;
   if((q > 0) && !is_prime(q, rng, prob))
      return false;
   return true;
   }

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