Botan 3.9.0
Crypto and TLS for C&
Public Types | Public Member Functions | Static Public Member Functions | List of all members
Botan::DL_Group Class Referencefinal

#include <dl_group.h>

Public Types

using Format = DL_Group_Format
enum  PrimeType : uint8_t { Strong , Prime_Subgroup , DSA_Kosherizer }

Public Member Functions

const Montgomery_Params & _monty_params_p () const
const Barrett_Reduction & _reducer_mod_p () const
void BER_decode (const std::vector< uint8_t > &ber, DL_Group_Format format)
std::vector< uint8_t > DER_encode (DL_Group_Format format) const
 DL_Group ()=default
 DL_Group (const BigInt &p, const BigInt &g)
 DL_Group (const BigInt &p, const BigInt &q, const BigInt &g)
template<typename Alloc>
 DL_Group (const std::vector< uint8_t, Alloc > &ber, DL_Group_Format format)
 DL_Group (const uint8_t ber[], size_t ber_len, DL_Group_Format format)
 DL_Group (RandomNumberGenerator &rng, const std::vector< uint8_t > &seed, size_t pbits=1024, size_t qbits=0)
 DL_Group (RandomNumberGenerator &rng, PrimeType type, size_t pbits, size_t qbits=0)
 DL_Group (std::string_view name)
size_t estimated_strength () const
size_t exponent_bits () const
const BigInt & get_g () const
const BigInt & get_p () const
const BigInt & get_q () const
bool has_q () const
BigInt inverse_mod_p (const BigInt &x) const
BigInt inverse_mod_q (const BigInt &x) const
BigInt mod_p (const BigInt &x) const
BigInt mod_q (const BigInt &x) const
BigInt multi_exponentiate (const BigInt &x, const BigInt &y, const BigInt &z) const
BigInt multiply_mod_p (const BigInt &x, const BigInt &y) const
BigInt multiply_mod_q (const BigInt &x, const BigInt &y) const
BigInt multiply_mod_q (const BigInt &x, const BigInt &y, const BigInt &z) const
size_t p_bits () const
size_t p_bytes () const
std::string PEM_encode (DL_Group_Format format) const
BigInt power_b_p (const BigInt &b, const BigInt &x) const
BigInt power_b_p (const BigInt &b, const BigInt &x, size_t max_x_bits) const
BigInt power_g_p (const BigInt &x) const
BigInt power_g_p (const BigInt &x, size_t max_x_bits) const
size_t q_bits () const
size_t q_bytes () const
DL_Group_Source source () const
BigInt square_mod_q (const BigInt &x) const
bool verify_element_pair (const BigInt &y, const BigInt &x) const
bool verify_group (RandomNumberGenerator &rng, bool strong=true) const
bool verify_private_element (const BigInt &x) const
bool verify_public_element (const BigInt &y) const

Static Public Member Functions

static DL_Group DL_Group_from_PEM (std::string_view pem)
static std::shared_ptr< DL_Group_Data > DL_group_info (std::string_view name)
static DL_Group from_name (std::string_view name)
static DL_Group from_PEM (std::string_view pem)

Detailed Description

This class represents discrete logarithm groups. It holds a prime modulus p, a generator g, and (optionally) a prime q which is a factor of (p-1). In most cases g generates the order-q subgroup.

Definition at line 46 of file dl_group.h.

Member Typedef Documentation

◆ Format

using Botan::DL_Group::Format = DL_Group_Format

Definition at line 53 of file dl_group.h.

Member Enumeration Documentation

◆ PrimeType

enum Botan::DL_Group::PrimeType : uint8_t

Determine the prime creation for DL groups.

Enumerator
Strong 
Prime_Subgroup 
DSA_Kosherizer 

Definition at line 51 of file dl_group.h.

51: uint8_t { Strong, Prime_Subgroup, DSA_Kosherizer };
Botan::DL_Group::Prime_Subgroup
@ Prime_Subgroup
Definition dl_group.h:51
Botan::DL_Group::DSA_Kosherizer
@ DSA_Kosherizer
Definition dl_group.h:51
Botan::DL_Group::Strong
@ Strong
Definition dl_group.h:51

Constructor & Destructor Documentation

◆ DL_Group() [1/8]

Botan::DL_Group::DL_Group ( )
default

Construct a DL group with uninitialized internal value.

References BOTAN_DEPRECATED, DL_Group(), from_name(), and from_PEM().

Referenced by BER_decode(), DL_Group(), DL_Group(), DL_Group_from_PEM(), from_name(), and from_PEM().

◆ DL_Group() [2/8]

Botan::DL_Group::DL_Group ( std::string_view name)
explicit

Construct a DL group that is registered in the configuration.

Parameters
namethe name of the group, for example "modp/ietf/3072"
Warning
This constructor also accepts PEM inputs. This behavior is deprecated and will be removed in a future major release. Instead use DL_Group::from_PEM or DL_Group::from_name

Definition at line 198 of file dl_group.cpp.

198 {
199 // Either a name or a PEM block, try name first
200 m_data = DL_group_info(str);
201
202 if(m_data == nullptr) {
203 try {
204 std::string label;
205 const std::vector<uint8_t> ber = unlock(PEM_Code::decode(str, label));
206 DL_Group_Format format = pem_label_to_dl_format(label);
207
208 m_data = BER_decode_DL_group(ber.data(), ber.size(), format, DL_Group_Source::ExternalSource);
209 } catch(...) {}
210 }
211
212 if(m_data == nullptr) {
213 throw Invalid_Argument(fmt("DL_Group: Unknown group '{}'", str));
214 }
215}
Botan::DL_Group::DL_group_info
static std::shared_ptr< DL_Group_Data > DL_group_info(std::string_view name)
Definition dl_named.cpp:13
Botan::PEM_Code::decode
secure_vector< uint8_t > decode(DataSource &source, std::string &label)
Definition pem.cpp:62
Botan::fmt
std::string fmt(std::string_view format, const T &... args)
Definition fmt.h:53
Botan::unlock
std::vector< T > unlock(const secure_vector< T > &in)
Definition secmem.h:86
Botan::DL_Group_Format
DL_Group_Format
Definition dl_group.h:30

References Botan::PEM_Code::decode(), DL_group_info(), Botan::ExternalSource, Botan::fmt(), and Botan::unlock().

◆ DL_Group() [3/8]

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 268 of file dl_group.cpp.

268 {
269 if(pbits < 1024) {
270 throw Invalid_Argument(fmt("DL_Group: requested prime size {} is too small", pbits));
271 }
272
273 if(qbits >= pbits) {
274 throw Invalid_Argument(fmt("DL_Group: requested q size {} is too big for p {}", qbits, pbits));
275 }
276
277 if(type == Strong) {
278 if(qbits != 0 && qbits != pbits - 1) {
279 throw Invalid_Argument("Cannot create strong-prime DL_Group with specified q bits");
280 }
281
282 const BigInt p = random_safe_prime(rng, pbits);
283 const BigInt q = (p - 1) / 2;
284
285 /*
286 Always choose a generator that is quadratic reside mod p, this forces g to
287 be a generator of the subgroup of size q.
288
289 We use 2 by default, but if 2 is not a quadratic reside then use 4 which
290 is always a quadratic reside, being the square of 2 (or p - 2)
291 */
292 BigInt g = BigInt::from_word(2);
293 if(jacobi(g, p) != 1) {
294 g = BigInt::from_word(4);
295 }
296
297 m_data = std::make_shared<DL_Group_Data>(p, q, g, DL_Group_Source::RandomlyGenerated);
298 } else if(type == Prime_Subgroup) {
299 if(qbits == 0) {
300 qbits = dl_exponent_size(pbits);
301 }
302
303 const BigInt q = random_prime(rng, qbits);
304 const BigInt q2 = q * 2;
305 BigInt X;
306 BigInt p;
307 while(p.bits() != pbits || !is_prime(p, rng, 128, true)) {
308 X.randomize(rng, pbits);
309 // Variable time division is OK here since DH groups are public anyway
310 p = X - (X % q2) + 1;
311 }
312
313 const BigInt g = make_dsa_generator(p, q);
314 m_data = std::make_shared<DL_Group_Data>(p, q, g, DL_Group_Source::RandomlyGenerated);
315 } else if(type == DSA_Kosherizer) {
316 if(qbits == 0) {
317 qbits = ((pbits <= 1024) ? 160 : 256);
318 }
319
320 BigInt p;
321 BigInt q;
322 generate_dsa_primes(rng, p, q, pbits, qbits);
323 const BigInt g = make_dsa_generator(p, q);
324 m_data = std::make_shared<DL_Group_Data>(p, q, g, DL_Group_Source::RandomlyGenerated);
325 } else {
326 throw Invalid_Argument("DL_Group unknown PrimeType");
327 }
328}
Botan::BigInt::from_word
static BigInt from_word(word n)
Definition bigint.cpp:34
Botan::random_prime
BigInt random_prime(RandomNumberGenerator &rng, size_t bits, const BigInt &coprime, size_t equiv, size_t modulo, size_t prob)
Definition make_prm.cpp:97
Botan::is_prime
bool is_prime(const BigInt &n, RandomNumberGenerator &rng, size_t prob, bool is_random)
Definition numthry.cpp:354
Botan::generate_dsa_primes
bool generate_dsa_primes(RandomNumberGenerator &rng, BigInt &p, BigInt &q, size_t pbits, size_t qbits, const std::vector< uint8_t > &seed_c, size_t offset)
Definition dsa_gen.cpp:54
Botan::dl_exponent_size
size_t dl_exponent_size(size_t bits)
Definition workfactor.cpp:51
Botan::jacobi
int32_t jacobi(const BigInt &a, const BigInt &n)
Definition numthry.cpp:116
Botan::random_safe_prime
BigInt random_safe_prime(RandomNumberGenerator &rng, size_t bits)
Definition make_prm.cpp:294

References Botan::BigInt::bits(), Botan::dl_exponent_size(), DSA_Kosherizer, Botan::fmt(), Botan::BigInt::from_word(), Botan::generate_dsa_primes(), Botan::is_prime(), Botan::jacobi(), Prime_Subgroup, Botan::random_prime(), Botan::random_safe_prime(), Botan::BigInt::randomize(), Botan::RandomlyGenerated, and Strong.

◆ DL_Group() [4/8]

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
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 333 of file dl_group.cpp.

333 {
334 BigInt p;
335 BigInt q;
336
337 if(!generate_dsa_primes(rng, p, q, pbits, qbits, seed)) {
338 throw Invalid_Argument("DL_Group: The seed given does not generate a DSA group");
339 }
340
341 BigInt g = make_dsa_generator(p, q);
342
343 m_data = std::make_shared<DL_Group_Data>(p, q, g, DL_Group_Source::RandomlyGenerated);
344}

References Botan::generate_dsa_primes(), and Botan::RandomlyGenerated.

◆ DL_Group() [5/8]

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

Create a DL group.

Parameters
pthe prime p
gthe base g

Definition at line 349 of file dl_group.cpp.

349 {
350 m_data = std::make_shared<DL_Group_Data>(p, g, DL_Group_Source::ExternalSource);
351}

References Botan::ExternalSource.

◆ DL_Group() [6/8]

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 356 of file dl_group.cpp.

356 {
357 if(q.is_zero()) {
358 m_data = std::make_shared<DL_Group_Data>(p, g, DL_Group_Source::ExternalSource);
359 } else {
360 m_data = std::make_shared<DL_Group_Data>(p, q, g, DL_Group_Source::ExternalSource);
361 }
362}

References Botan::ExternalSource, and Botan::BigInt::is_zero().

◆ DL_Group() [7/8]

Botan::DL_Group::DL_Group ( const uint8_t ber[],
size_t ber_len,
DL_Group_Format format )

Decode a BER-encoded DL group param

Definition at line 630 of file dl_group.cpp.

630 {
631 m_data = BER_decode_DL_group(ber, ber_len, format, DL_Group_Source::ExternalSource);
632}

References Botan::ExternalSource.

◆ DL_Group() [8/8]

template<typename Alloc>
Botan::DL_Group::DL_Group ( const std::vector< uint8_t, Alloc > & ber,
DL_Group_Format format )
inline

Decode a BER-encoded DL group param

Definition at line 137 of file dl_group.h.

137 :
138 DL_Group(ber.data(), ber.size(), format) {}
Botan::DL_Group::DL_Group
DL_Group()=default

References DL_Group().

Member Function Documentation

◆ _monty_params_p()

const Montgomery_Params & Botan::DL_Group::_monty_params_p ( ) const

Return parameters for Montgomery reduction/exponentiation mod p

For internal use only

Definition at line 492 of file dl_group.cpp.

492 {
493 return data().monty_params_p();
494}

◆ _reducer_mod_p()

const Barrett_Reduction & Botan::DL_Group::_reducer_mod_p ( ) const

Definition at line 539 of file dl_group.cpp.

539 {
540 return data().reducer_mod_p();
541}

◆ BER_decode()

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

Decode a DER/BER encoded group into this instance.

Parameters
bera vector containing the DER/BER encoded group
formatthe format of the encoded group
Warning
avoid this. Instead use the DL_Group constructor

Definition at line 362 of file dl_group.h.

362 {
363 *this = DL_Group(ber, format);
364 }

References BER_decode(), and DL_Group().

Referenced by BER_decode().

◆ DER_encode()

std::vector< uint8_t > Botan::DL_Group::DER_encode ( DL_Group_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 592 of file dl_group.cpp.

592 {
593 if(get_q().is_zero() && (format != DL_Group_Format::PKCS_3)) {
594 throw Encoding_Error("Cannot encode DL_Group in ANSI formats when q param is missing");
595 }
596
597 std::vector<uint8_t> output;
598 DER_Encoder der(output);
599
600 if(format == DL_Group_Format::ANSI_X9_57) {
601 der.start_sequence().encode(get_p()).encode(get_q()).encode(get_g()).end_cons();
602 } else if(format == DL_Group_Format::ANSI_X9_42) {
603 der.start_sequence().encode(get_p()).encode(get_g()).encode(get_q()).end_cons();
604 } else if(format == DL_Group_Format::PKCS_3) {
605 der.start_sequence().encode(get_p()).encode(get_g()).end_cons();
606 } else {
607 throw Invalid_Argument("Unknown DL_Group encoding");
608 }
609
610 return output;
611}
Botan::DL_Group::get_p
const BigInt & get_p() const
Definition dl_group.cpp:474
Botan::DL_Group::get_g
const BigInt & get_g() const
Definition dl_group.cpp:481
Botan::DL_Group::get_q
const BigInt & get_q() const
Definition dl_group.cpp:488

References Botan::ANSI_X9_42, Botan::ANSI_X9_57, Botan::DER_Encoder::encode(), Botan::DER_Encoder::end_cons(), get_g(), get_p(), get_q(), Botan::PKCS_3, and Botan::DER_Encoder::start_sequence().

Referenced by PEM_encode().

◆ DL_Group_from_PEM()

DL_Group Botan::DL_Group::DL_Group_from_PEM ( std::string_view pem)
inlinestatic

Definition at line 85 of file dl_group.h.

85 {
86 return DL_Group::from_PEM(pem);
87 }
Botan::DL_Group::from_PEM
static DL_Group from_PEM(std::string_view pem)
Definition dl_group.cpp:228

References BOTAN_DEPRECATED, DL_Group(), DL_Group_from_PEM(), and from_PEM().

Referenced by DL_Group_from_PEM().

◆ DL_group_info()

std::shared_ptr< DL_Group_Data > Botan::DL_Group::DL_group_info ( std::string_view name)
static

Definition at line 13 of file dl_named.cpp.

13 {
14 /* TLS FFDHE groups */
15
16 if(name == "ffdhe/ietf/2048") {
17 return load_DL_group_info(
18 "0x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
19 "0x2");
20 }
21
22 if(name == "ffdhe/ietf/3072") {
23 return load_DL_group_info(
24 "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
25 "0x2");
26 }
27
28 if(name == "ffdhe/ietf/4096") {
29 return load_DL_group_info(
30 "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
31 "0x2");
32 }
33
34 if(name == "ffdhe/ietf/6144") {
35 return load_DL_group_info(
36 "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
37 "0x2");
38 }
39
40 if(name == "ffdhe/ietf/8192") {
41 return load_DL_group_info(
42 "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x2");
43 }
44
45 /* IETF IPsec groups */
46
47 if(name == "modp/ietf/1024") {
48 return load_DL_group_info(
49 "0xFFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF",
50 "0x2");
51 }
52
53 if(name == "modp/ietf/1536") {
54 return load_DL_group_info(
55 "0xFFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D670C354E4ABC9804F1746C08CA237327FFFFFFFFFFFFFFFF",
56 "0x2");
57 }
58
59 if(name == "modp/ietf/2048") {
60 return load_DL_group_info(
61 "0x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
62 "0x2");
63 }
64
65 if(name == "modp/ietf/3072") {
66 return load_DL_group_info(
67 "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
68 "0x2");
69 }
70
71 if(name == "modp/ietf/4096") {
72 return load_DL_group_info(
73 "0xFFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3BE39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF6955817183995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E208E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D788719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA993B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199FFFFFFFFFFFFFFFF",
74 "0x2");
75 }
76
77 if(name == "modp/ietf/6144") {
78 return load_DL_group_info(
79 "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
80 "0x2");
81 }
82
83 if(name == "modp/ietf/8192") {
84 return load_DL_group_info(
85 "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x2");
86 }
87
88 /* SRP groups
89
90 SRP groups have a p st (p-1)/2 is prime, but g is not a generator
91 of subgroup of size q, so set q == 0 to bypass generator check
92
93 Missing q doesn't matter for SRP, and nothing but SRP should be
94 using these parameters.
95 */
96
97 if(name == "modp/srp/1024") {
98 return load_DL_group_info(
99 "0xEEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C9C256576D674DF7496EA81D3383B4813D692C6E0E0D5D8E250B98BE48E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D4982559B297BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA9AFD5138FE8376435B9FC61D2FC0EB06E3",
100 "0",
101 "0x2");
102 }
103
104 if(name == "modp/srp/1536") {
105 return load_DL_group_info(
106 "0x9DEF3CAFB939277AB1F12A8617A47BBBDBA51DF499AC4C80BEEEA9614B19CC4D5F4F5F556E27CBDE51C6A94BE4607A291558903BA0D0F84380B655BB9A22E8DCDF028A7CEC67F0D08134B1C8B97989149B609E0BE3BAB63D47548381DBC5B1FC764E3F4B53DD9DA1158BFD3E2B9C8CF56EDF019539349627DB2FD53D24B7C48665772E437D6C7F8CE442734AF7CCB7AE837C264AE3A9BEB87F8A2FE9B8B5292E5A021FFF5E91479E8CE7A28C2442C6F315180F93499A234DCF76E3FED135F9BB",
107 "0",
108 "0x2");
109 }
110
111 if(name == "modp/srp/2048") {
112 return load_DL_group_info(
113 "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
114 "0",
115 "0x2");
116 }
117
118 if(name == "modp/srp/3072") {
119 return load_DL_group_info(
120 "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
121 "0",
122 "0x5");
123 }
124
125 if(name == "modp/srp/4096") {
126 return load_DL_group_info(
127 "0xFFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3BE39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF6955817183995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E208E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D788719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA993B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199FFFFFFFFFFFFFFFF",
128 "0",
129 "0x5");
130 }
131
132 if(name == "modp/srp/6144") {
133 return load_DL_group_info(
134 "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
135 "0",
136 "0x5");
137 }
138
139 if(name == "modp/srp/8192") {
140 return load_DL_group_info(
141 "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x13");
142 }
143
144 /* DSA groups */
145
146 if(name == "dsa/jce/1024") {
147 return load_DL_group_info(
148 "0xFD7F53811D75122952DF4A9C2EECE4E7F611B7523CEF4400C31E3F80B6512669455D402251FB593D8D58FABFC5F5BA30F6CB9B556CD7813B801D346FF26660B76B9950A5A49F9FE8047B1022C24FBBA9D7FEB7C61BF83B57E7C6A8A6150F04FB83F6D3C51EC3023554135A169132F675F3AE2B61D72AEFF22203199DD14801C7",
149 "0x9760508F15230BCCB292B982A2EB840BF0581CF5",
150 "0x469603512E30278CD3947595DB22EEC9826A6322ADC97344F41D740C325724C8F9EFBAA7D4D803FF8C609DCD100EBC5BDFCFAD7C6A425FAEA786EA2050EBE98351EA1FDA1FDF24D6947AA6B9AA23766953802F4D7D4A8ECBA06D19768A2491FFB16D0EF9C43A99B5F71672FF6F0A24B444D0736D04D38A1A1322DAF6CDD88C9D");
151 }
152
153 if(name == "dsa/botan/2048") {
154 return load_DL_group_info(
155 "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
156 "0x8CD7D450F86F0AD94EEE4CE469A8756D1EBD1058241943EAFFB0B354585E924D",
157 "0xD9F5E0761B4DBD1833D6AB1A961A0996C5F22303F72D84C140F67C431D94AB5715BEA81A0C98D39CE4BCF78D6B9EBC895D34FE89D94091D5848615EF15F5E86F11D96F6C969E203DDFA58356420A49CB444B595B901A933CFE0767B594F18A07B7F91DECDBA446B88990F78F2FF91F2FE7CD43FD2E46D18EADA1F7BB6602C617F6EF3A4B284F2FD9BA10A36042DE8FA87A2CA36597FEC81157A1485E44041DF02830111CB880BBE6ED494814886F965CDC3135F5CCF1383728BF65B806F9692C0B10D6C4C09C75A6CA3B4013CB16AB2C105F6BE23AEA9000EAB2178985F972C98057E1C86E44E7218688EA4AE0F3636DCCA745C9DCD4E6AFFB67CCBC13D6131");
158 }
159
160 if(name == "dsa/botan/3072") {
161 return load_DL_group_info("0xE4B50880759663585E142460CA2D9DFF132F8AE4C840DDA3A2666889124FE5638B84E8A29B7AF3FA1209BE6BFC4B5072ED3B2B7387BAF3F857F478A80228EF3600B76B3DCFB61D20D34465B2506D2CAF87DF6E7DC0CE91BD2D167A46F6ADCC31C531E4F9C7ABBDB92ADDF35B0A806C66292A5F5E17E964DD099903733AC428AB35D80EA6F685BFBA8BE4068E5418AE5ECAD9E8FF073DE2B63E4E7EAD35C8A9B70B5BD47CFB88D373B66F37931939B0AB71BD5595809086DA0155337D185A0E4FB36A519B1B6202B8591E6002449CF1CD3A66384F6D2073B1CD73BECA93BAF1E1A6117D0238F222AE1ED7FED185A890E7F67FAB8FEB9753CC134A5183DFE87AE2595F7B5C2D9FBB42249FDD59513E1D3396B3EB2FD86684F285A8448FE757A029881C40760B94EF919BDF9740C38389599EC51A6E9BB519A8E068491E9CE0A2FCFE3CB60D66CF0DFAD20A8EC684048684A61444575BD1724D7352B44A760077B3BD6BD385CE5B0A7250CC0BF768DA82923806EB9CFBB138843731B618208C759B", "0xB3EBD364EC69EF8CF3BAF643B75734B16339B2E49E5CDE1B59C1E9FB40EE0C5B", "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
162 }
163
164 return std::shared_ptr<DL_Group_Data>();
165}

Referenced by DL_Group(), and from_name().

◆ estimated_strength()

size_t Botan::DL_Group::estimated_strength ( ) const

Return an estimate of the strength of this group against discrete logarithm attacks (eg NFS). Warning: since this only takes into account known attacks it is by necessity an overestimate of the actual strength.

Definition at line 518 of file dl_group.cpp.

518 {
519 return data().estimated_strength();
520}

◆ exponent_bits()

size_t Botan::DL_Group::exponent_bits ( ) const

Return size in bits of a secret exponent

This attempts to balance between the attack costs of NFS (which depends on the size of the modulus) and Pollard's rho (which depends on the size of the exponent).

It may vary over time for a particular group, if the attack costs change.

Definition at line 522 of file dl_group.cpp.

522 {
523 return data().exponent_bits();
524}

◆ from_name()

DL_Group Botan::DL_Group::from_name ( std::string_view name)
static

Construct a DL group that is registered in the configuration.

Parameters
namethe name of the group, for example "modp/ietf/3072"
Exceptions
Invalid_Argumentif the named group is unknown

Definition at line 217 of file dl_group.cpp.

217 {
218 auto data = DL_group_info(name);
219
220 if(!data) {
221 throw Invalid_Argument(fmt("DL_Group: Unknown group '{}'", name));
222 }
223
224 return DL_Group(data);
225}

References DL_Group(), DL_group_info(), and Botan::fmt().

Referenced by botan_srp6_group_size(), Botan::create_private_key(), DL_Group(), Botan::srp6_client_agree(), Botan::srp6_generate_verifier(), Botan::srp6_group_identifier(), and Botan::SRP6_Server_Session::step1().

◆ from_PEM()

DL_Group Botan::DL_Group::from_PEM ( std::string_view pem)
static

Definition at line 228 of file dl_group.cpp.

228 {
229 std::string label;
230 const std::vector<uint8_t> ber = unlock(PEM_Code::decode(pem, label));
231 DL_Group_Format format = pem_label_to_dl_format(label);
232 return DL_Group(ber, format);
233}

References Botan::PEM_Code::decode(), DL_Group(), and Botan::unlock().

Referenced by DL_Group(), and DL_Group_from_PEM().

◆ get_g()

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

Get the base g.

Returns
base g

Definition at line 481 of file dl_group.cpp.

481 {
482 return data().g();
483}

Referenced by DER_encode(), multi_exponentiate(), Botan::srp6_client_agree(), and verify_group().

◆ get_p()

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

Get the prime p.

Returns
prime p

Definition at line 474 of file dl_group.cpp.

474 {
475 return data().p();
476}

Referenced by DER_encode(), inverse_mod_p(), Botan::srp6_client_agree(), verify_element_pair(), verify_group(), verify_private_element(), and verify_public_element().

◆ get_q()

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

Get the prime q, returns zero if q is not used

Returns
prime q

Definition at line 488 of file dl_group.cpp.

488 {
489 return data().q();
490}

Referenced by DER_encode(), inverse_mod_q(), verify_group(), verify_private_element(), and verify_public_element().

◆ has_q()

bool Botan::DL_Group::has_q ( ) const

Return if the q value is set

Definition at line 496 of file dl_group.cpp.

496 {
497 return data().q_is_set();
498}

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

◆ inverse_mod_p()

BigInt Botan::DL_Group::inverse_mod_p ( const BigInt & x) const

Return the inverse of x mod p

Definition at line 526 of file dl_group.cpp.

526 {
527 // precompute??
528 return inverse_mod_public_prime(x, get_p());
529}
Botan::inverse_mod_public_prime
BigInt inverse_mod_public_prime(const BigInt &x, const BigInt &p)
Definition mod_inv.cpp:291

References get_p(), and Botan::inverse_mod_public_prime().

◆ inverse_mod_q()

BigInt Botan::DL_Group::inverse_mod_q ( const BigInt & x) const

Return the inverse of x mod q Throws if q is unset on this DL_Group

Definition at line 543 of file dl_group.cpp.

543 {
544 data().assert_q_is_set("inverse_mod_q");
545 // precompute??
546 return inverse_mod_public_prime(x, get_q());
547}

References get_q(), and Botan::inverse_mod_public_prime().

◆ mod_p()

BigInt Botan::DL_Group::mod_p ( const BigInt & x) const

Reduce an integer modulo p

Returns
x % p

Definition at line 531 of file dl_group.cpp.

531 {
532 return data().reducer_mod_p().reduce(x);
533}

Referenced by Botan::srp6_client_agree().

◆ mod_q()

BigInt Botan::DL_Group::mod_q ( const BigInt & x) const

Reduce an integer modulo q Throws if q is unset on this DL_Group

Returns
x % q

Definition at line 549 of file dl_group.cpp.

549 {
550 data().assert_q_is_set("mod_q");
551 return data().reducer_mod_q().reduce(x);
552}

◆ multi_exponentiate()

BigInt Botan::DL_Group::multi_exponentiate ( const BigInt & x,
const BigInt & y,
const BigInt & z ) const

Multi-exponentiate Return (g^x * y^z) % p

Warning
this function is variable time and should not be used with secret inputs

Definition at line 569 of file dl_group.cpp.

569 {
570 return monty_multi_exp(data().monty_params_p(), get_g(), x, y, z).value();
571}
Botan::Montgomery_Int::value
BigInt value() const
Definition monty.cpp:245
Botan::monty_multi_exp
Montgomery_Int monty_multi_exp(const Montgomery_Params &params_p, const BigInt &x_bn, const BigInt &z1, const BigInt &y_bn, const BigInt &z2)
Definition monty_exp.cpp:161

References get_g(), Botan::monty_multi_exp(), and Botan::Montgomery_Int::value().

◆ multiply_mod_p()

BigInt Botan::DL_Group::multiply_mod_p ( const BigInt & x,
const BigInt & y ) const

Multiply and reduce an integer modulo p

Returns
(x*y) % p

Definition at line 535 of file dl_group.cpp.

535 {
536 return data().reducer_mod_p().multiply(x, y);
537}

Referenced by Botan::srp6_client_agree().

◆ multiply_mod_q() [1/2]

BigInt Botan::DL_Group::multiply_mod_q ( const BigInt & x,
const BigInt & y ) const

Multiply and reduce an integer modulo q Throws if q is unset on this DL_Group

Returns
(x*y) % q

Definition at line 554 of file dl_group.cpp.

554 {
555 data().assert_q_is_set("multiply_mod_q");
556 return data().reducer_mod_q().multiply(x, y);
557}

Referenced by multiply_mod_q().

◆ multiply_mod_q() [2/2]

BigInt Botan::DL_Group::multiply_mod_q ( const BigInt & x,
const BigInt & y,
const BigInt & z ) const

Multiply and reduce an integer modulo q Throws if q is unset on this DL_Group

Returns
(x*y*z) % q

Definition at line 559 of file dl_group.cpp.

559 {
560 data().assert_q_is_set("multiply_mod_q");
561 return this->multiply_mod_q(this->multiply_mod_q(x, y), z);
562}
Botan::DL_Group::multiply_mod_q
BigInt multiply_mod_q(const BigInt &x, const BigInt &y) const
Definition dl_group.cpp:554

References multiply_mod_q().

◆ p_bits()

size_t Botan::DL_Group::p_bits ( ) const

Return the size of p in bits Same as get_p().bits()

Definition at line 500 of file dl_group.cpp.

500 {
501 return data().p_bits();
502}

Referenced by power_b_p(), Botan::srp6_client_agree(), Botan::srp6_generate_verifier(), and Botan::SRP6_Server_Session::step1().

◆ p_bytes()

size_t Botan::DL_Group::p_bytes ( ) const

Return the size of p in bytes Same as get_p().bytes()

Definition at line 504 of file dl_group.cpp.

504 {
505 return data().p_bytes();
506}

Referenced by Botan::srp6_client_agree().

◆ PEM_encode()

std::string Botan::DL_Group::PEM_encode ( DL_Group_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 616 of file dl_group.cpp.

616 {
617 const std::vector<uint8_t> encoding = DER_encode(format);
618
619 if(format == DL_Group_Format::PKCS_3) {
620 return PEM_Code::encode(encoding, "DH PARAMETERS");
621 } else if(format == DL_Group_Format::ANSI_X9_57) {
622 return PEM_Code::encode(encoding, "DSA PARAMETERS");
623 } else if(format == DL_Group_Format::ANSI_X9_42) {
624 return PEM_Code::encode(encoding, "X9.42 DH PARAMETERS");
625 } else {
626 throw Invalid_Argument("Unknown DL_Group encoding");
627 }
628}
Botan::DL_Group::DER_encode
std::vector< uint8_t > DER_encode(DL_Group_Format format) const
Definition dl_group.cpp:592
Botan::PEM_Code::encode
std::string encode(const uint8_t der[], size_t length, std::string_view label, size_t width)
Definition pem.cpp:39

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

◆ power_b_p() [1/2]

BigInt Botan::DL_Group::power_b_p ( const BigInt & b,
const BigInt & x ) const

Modular exponentiation

Parameters
bthe base
xthe exponent
Returns
(b^x) % p

Definition at line 577 of file dl_group.cpp.

577 {
578 return this->power_b_p(b, x, data().p_bits());
579}
Botan::DL_Group::p_bits
size_t p_bits() const
Definition dl_group.cpp:500
Botan::DL_Group::power_b_p
BigInt power_b_p(const BigInt &b, const BigInt &x, size_t max_x_bits) const
Definition dl_group.cpp:581

References p_bits(), and power_b_p().

◆ power_b_p() [2/2]

BigInt Botan::DL_Group::power_b_p ( const BigInt & b,
const BigInt & x,
size_t max_x_bits ) const

Modular exponentiation

Parameters
bthe base
xthe exponent
max_x_bitsx is assumed to be at most this many bits long.
Returns
(b^x) % p

Definition at line 581 of file dl_group.cpp.

581 {
582 return data().power_b_p(b, x, max_x_bits);
583}

Referenced by power_b_p(), and Botan::srp6_client_agree().

◆ power_g_p() [1/2]

BigInt Botan::DL_Group::power_g_p ( const BigInt & x) const
inline

Modular exponentiation

Warning
this function leaks the size of x via the number of loop iterations. Use the version taking the maximum size to avoid this.
Returns
(g^x) % p

Definition at line 263 of file dl_group.h.

263 {
264 return power_g_p(x, x.bits());
265 }
Botan::DL_Group::power_g_p
BigInt power_g_p(const BigInt &x) const
Definition dl_group.h:263

References BOTAN_DEPRECATED, and power_g_p().

Referenced by power_g_p(), Botan::srp6_client_agree(), Botan::srp6_generate_verifier(), and verify_element_pair().

◆ power_g_p() [2/2]

BigInt Botan::DL_Group::power_g_p ( const BigInt & x,
size_t max_x_bits ) const

Modular exponentiation

Parameters
xthe exponent
max_x_bitsx is assumed to be at most this many bits long.
Returns
(g^x) % p

Definition at line 573 of file dl_group.cpp.

573 {
574 return data().power_g_p(x, max_x_bits);
575}

◆ q_bits()

size_t Botan::DL_Group::q_bits ( ) const

Return the size of q in bits Same as get_q().bits() Throws if q is unset

Definition at line 508 of file dl_group.cpp.

508 {
509 data().assert_q_is_set("q_bits");
510 return data().q_bits();
511}

◆ q_bytes()

size_t Botan::DL_Group::q_bytes ( ) const

Return the size of q in bytes Same as get_q().bytes() Throws if q is unset

Definition at line 513 of file dl_group.cpp.

513 {
514 data().assert_q_is_set("q_bytes");
515 return data().q_bytes();
516}

◆ source()

DL_Group_Source Botan::DL_Group::source ( ) const

Definition at line 585 of file dl_group.cpp.

585 {
586 return data().source();
587}

Referenced by verify_group().

◆ square_mod_q()

BigInt Botan::DL_Group::square_mod_q ( const BigInt & x) const

Square and reduce an integer modulo q Throws if q is unset on this DL_Group

Returns
(x*x) % q

Definition at line 564 of file dl_group.cpp.

564 {
565 data().assert_q_is_set("square_mod_q");
566 return data().reducer_mod_q().square(x);
567}

References Botan::BigInt::square().

◆ verify_element_pair()

bool Botan::DL_Group::verify_element_pair ( const BigInt & y,
const BigInt & x ) const

Verify a pair of elements y = g^x

This verifies that 1 < x,y < p and that y=g^x mod p

Definition at line 404 of file dl_group.cpp.

404 {
405 const BigInt& p = get_p();
406
407 if(y <= 1 || y >= p || x <= 1 || x >= p) {
408 return false;
409 }
410
411 if(y != this->power_g_p(x, x.bits())) {
412 return false;
413 }
414
415 return true;
416}

References Botan::BigInt::bits(), get_p(), and power_g_p().

◆ verify_group()

bool Botan::DL_Group::verify_group ( RandomNumberGenerator & rng,
bool strong = true ) 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 421 of file dl_group.cpp.

421 {
422 const bool from_builtin = (source() == DL_Group_Source::Builtin);
423
424 if(!strong && from_builtin) {
425 return true;
426 }
427
428 const BigInt& p = get_p();
429 const BigInt& q = get_q();
430 const BigInt& g = get_g();
431
432 if(g < 2 || p < 3 || q < 0) {
433 return false;
434 }
435
436 const size_t test_prob = 128;
437 const bool is_randomly_generated = (source() != DL_Group_Source::ExternalSource);
438
439 if(!is_prime(p, rng, test_prob, is_randomly_generated)) {
440 return false;
441 }
442
443 if(q != 0) {
444 if((p - 1) % q != 0) {
445 return false;
446 }
447 if(data().power_g_p_vartime(q) != 1) {
448 return false;
449 }
450 if(!is_prime(q, rng, test_prob, is_randomly_generated)) {
451 return false;
452 }
453 } else {
454 if(!from_builtin && !is_randomly_generated) {
455 // If we got this p,g from some unknown source, try to verify
456 // that the group order is not too absurdly small.
457
458 const size_t upper_bound = strong ? 1000 : 100;
459
460 for(size_t i = 2; i != upper_bound; ++i) {
461 if(data().power_g_p_vartime(BigInt::from_word(i)) == 1) {
462 return false;
463 }
464 }
465 }
466 }
467
468 return true;
469}
Botan::DL_Group::source
DL_Group_Source source() const
Definition dl_group.cpp:585

References Botan::Builtin, Botan::ExternalSource, Botan::BigInt::from_word(), get_g(), get_p(), get_q(), Botan::is_prime(), and source().

Referenced by Botan::TLS::Client_Key_Exchange::Client_Key_Exchange().

◆ verify_private_element()

bool Botan::DL_Group::verify_private_element ( const BigInt & x) const

Verify a private element

Specifically this checks that x is > 1 and < p, and additionally if q is set then x must be < q

Definition at line 389 of file dl_group.cpp.

389 {
390 const BigInt& p = get_p();
391 const BigInt& q = get_q();
392
393 if(x <= 1 || x >= p) {
394 return false;
395 }
396
397 if(q > 0 && x > q) {
398 return false;
399 }
400
401 return true;
402}

References get_p(), and get_q().

◆ verify_public_element()

bool Botan::DL_Group::verify_public_element ( const BigInt & y) const

Verify a public element, ie check if y = g^x for some x.

This is not a perfect test. It verifies that 1 < y < p and (if q is set) that y is in the subgroup of size q.

Definition at line 372 of file dl_group.cpp.

372 {
373 const BigInt& p = get_p();
374 const BigInt& q = get_q();
375
376 if(y <= 1 || y >= p) {
377 return false;
378 }
379
380 if(!q.is_zero()) {
381 if(data().power_b_p_vartime(y, q) != 1) {
382 return false;
383 }
384 }
385
386 return true;
387}

References get_p(), get_q(), and Botan::BigInt::is_zero().

The documentation for this class was generated from the following files:
Generated by doxygen 1.14.0