Crypto++  5.6.3
Free C++ class library of cryptographic schemes
eccrypto.cpp
1 // eccrypto.cpp - written and placed in the public domain by Wei Dai
2 
3 #include "pch.h"
4 
5 #include "config.h"
6 
7 #if CRYPTOPP_MSC_VERSION
8 # pragma warning(push)
9 # pragma warning(disable: 4127 4189)
10 #endif
11 
12 #if CRYPTOPP_GCC_DIAGNOSTIC_AVAILABLE
13 # pragma GCC diagnostic push
14 # pragma GCC diagnostic ignored "-Wunused-function"
15 #endif
16 
17 #ifndef CRYPTOPP_IMPORTS
18 
19 #include "eccrypto.h"
20 #include "integer.h"
21 #include "nbtheory.h"
22 #include "filters.h"
23 #include "argnames.h"
24 #include "smartptr.h"
25 #include "oids.h"
26 #include "asn.h"
27 #include "hex.h"
28 #include "ec2n.h"
29 #include "misc.h"
30 
31 NAMESPACE_BEGIN(CryptoPP)
32 
33 #if 0
34 #if !defined(NDEBUG) && !defined(CRYPTOPP_DOXYGEN_PROCESSING)
35 static void ECDSA_TestInstantiations()
36 {
38  ECDSA<EC2N>::Verifier t2(t1);
40  ECNR<ECP>::Verifier t4(t3);
45 }
46 #endif
47 #endif
48 
49 // VC60 workaround: complains when these functions are put into an anonymous namespace
50 static Integer ConvertToInteger(const PolynomialMod2 &x)
51 {
52  unsigned int l = x.ByteCount();
53  SecByteBlock temp(l);
54  x.Encode(temp, l);
55  return Integer(temp, l);
56 }
57 
58 static inline Integer ConvertToInteger(const Integer &x)
59 {
60  return x;
61 }
62 
63 static bool CheckMOVCondition(const Integer &q, const Integer &r)
64 {
65  // see "Updated standards for validating elliptic curves", http://eprint.iacr.org/2007/343
66  Integer t = 1;
67  unsigned int n = q.IsEven() ? 1 : q.BitCount(), m = r.BitCount();
68 
69  for (unsigned int i=n; DiscreteLogWorkFactor(i)<m/2; i+=n)
70  {
71  if (q.IsEven())
72  t = (t+t)%r;
73  else
74  t = (t*q)%r;
75  if (t == 1)
76  return false;
77  }
78  return true;
79 }
80 
81 // ******************************************************************
82 
83 template <class T> struct EcRecommendedParameters;
84 
85 template<> struct EcRecommendedParameters<EC2N>
86 {
87  EcRecommendedParameters(const OID &oid, unsigned int t2, unsigned int t3, unsigned int t4, const char *a, const char *b, const char *g, const char *n, unsigned int h)
88  : oid(oid), t0(0), t1(0), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
89  EcRecommendedParameters(const OID &oid, unsigned int t0, unsigned int t1, unsigned int t2, unsigned int t3, unsigned int t4, const char *a, const char *b, const char *g, const char *n, unsigned int h)
90  : oid(oid), t0(t0), t1(t1), t2(t2), t3(t3), t4(t4), a(a), b(b), g(g), n(n), h(h) {}
91  EC2N *NewEC() const
92  {
93  StringSource ssA(a, true, new HexDecoder);
94  StringSource ssB(b, true, new HexDecoder);
95  if (t0 == 0)
96  return new EC2N(GF2NT(t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
97  else
98  return new EC2N(GF2NPP(t0, t1, t2, t3, t4), EC2N::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), EC2N::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
99  };
100 
101  OID oid;
102  unsigned int t0, t1, t2, t3, t4;
103  const char *a, *b, *g, *n;
104  unsigned int h;
105 };
106 
107 template<> struct EcRecommendedParameters<ECP>
108 {
109  EcRecommendedParameters(const OID &oid, const char *p, const char *a, const char *b, const char *g, const char *n, unsigned int h)
110  : oid(oid), p(p), a(a), b(b), g(g), n(n), h(h) {}
111  ECP *NewEC() const
112  {
113  StringSource ssP(p, true, new HexDecoder);
114  StringSource ssA(a, true, new HexDecoder);
115  StringSource ssB(b, true, new HexDecoder);
116  return new ECP(Integer(ssP, (size_t)ssP.MaxRetrievable()), ECP::FieldElement(ssA, (size_t)ssA.MaxRetrievable()), ECP::FieldElement(ssB, (size_t)ssB.MaxRetrievable()));
117  };
118 
119  OID oid;
120  const char *p;
121  const char *a, *b, *g, *n;
122  unsigned int h;
123 };
124 
126 {
127  template <typename T>
128  inline bool operator()(const EcRecommendedParameters<T>& a, const OID& b) {return a.oid < b;}
129  template <typename T>
130  inline bool operator()(const OID& a, const EcRecommendedParameters<T>& b) {return a < b.oid;}
131  template <typename T>
132  inline bool operator()(const EcRecommendedParameters<T>& a, const EcRecommendedParameters<T>& b) {return a.oid < b.oid;}
133 };
134 
135 static void GetRecommendedParameters(const EcRecommendedParameters<EC2N> *&begin, const EcRecommendedParameters<EC2N> *&end)
136 {
137  // this array must be sorted by OID
138  static const EcRecommendedParameters<EC2N> rec[] = {
139  EcRecommendedParameters<EC2N>(ASN1::sect163k1(),
140  163, 7, 6, 3, 0,
141  "000000000000000000000000000000000000000001",
142  "000000000000000000000000000000000000000001",
143  "0402FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE80289070FB05D38FF58321F2E800536D538CCDAA3D9",
144  "04000000000000000000020108A2E0CC0D99F8A5EF",
145  2),
146  EcRecommendedParameters<EC2N>(ASN1::sect163r1(),
147  163, 7, 6, 3, 0,
148  "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2",
149  "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9",
150  "040369979697AB43897789566789567F787A7876A65400435EDB42EFAFB2989D51FEFCE3C80988F41FF883",
151  "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B",
152  2),
153  EcRecommendedParameters<EC2N>(ASN1::sect239k1(),
154  239, 158, 0,
155  "000000000000000000000000000000000000000000000000000000000000",
156  "000000000000000000000000000000000000000000000000000000000001",
157  "0429A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA",
158  "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5",
159  4),
160  EcRecommendedParameters<EC2N>(ASN1::sect113r1(),
161  113, 9, 0,
162  "003088250CA6E7C7FE649CE85820F7",
163  "00E8BEE4D3E2260744188BE0E9C723",
164  "04009D73616F35F4AB1407D73562C10F00A52830277958EE84D1315ED31886",
165  "0100000000000000D9CCEC8A39E56F",
166  2),
167  EcRecommendedParameters<EC2N>(ASN1::sect113r2(),
168  113, 9, 0,
169  "00689918DBEC7E5A0DD6DFC0AA55C7",
170  "0095E9A9EC9B297BD4BF36E059184F",
171  "0401A57A6A7B26CA5EF52FCDB816479700B3ADC94ED1FE674C06E695BABA1D",
172  "010000000000000108789B2496AF93",
173  2),
174  EcRecommendedParameters<EC2N>(ASN1::sect163r2(),
175  163, 7, 6, 3, 0,
176  "000000000000000000000000000000000000000001",
177  "020A601907B8C953CA1481EB10512F78744A3205FD",
178  "0403F0EBA16286A2D57EA0991168D4994637E8343E3600D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
179  "040000000000000000000292FE77E70C12A4234C33",
180  2),
181  EcRecommendedParameters<EC2N>(ASN1::sect283k1(),
182  283, 12, 7, 5, 0,
183  "000000000000000000000000000000000000000000000000000000000000000000000000",
184  "000000000000000000000000000000000000000000000000000000000000000000000001",
185  "040503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC245849283601CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
186  "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
187  4),
188  EcRecommendedParameters<EC2N>(ASN1::sect283r1(),
189  283, 12, 7, 5, 0,
190  "000000000000000000000000000000000000000000000000000000000000000000000001",
191  "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
192  "0405F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B1205303676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
193  "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
194  2),
195  EcRecommendedParameters<EC2N>(ASN1::sect131r1(),
196  131, 8, 3, 2, 0,
197  "07A11B09A76B562144418FF3FF8C2570B8",
198  "0217C05610884B63B9C6C7291678F9D341",
199  "040081BAF91FDF9833C40F9C181343638399078C6E7EA38C001F73C8134B1B4EF9E150",
200  "0400000000000000023123953A9464B54D",
201  2),
202  EcRecommendedParameters<EC2N>(ASN1::sect131r2(),
203  131, 8, 3, 2, 0,
204  "03E5A88919D7CAFCBF415F07C2176573B2",
205  "04B8266A46C55657AC734CE38F018F2192",
206  "040356DCD8F2F95031AD652D23951BB366A80648F06D867940A5366D9E265DE9EB240F",
207  "0400000000000000016954A233049BA98F",
208  2),
209  EcRecommendedParameters<EC2N>(ASN1::sect193r1(),
210  193, 15, 0,
211  "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01",
212  "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814",
213  "0401F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E10025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05",
214  "01000000000000000000000000C7F34A778F443ACC920EBA49",
215  2),
216  EcRecommendedParameters<EC2N>(ASN1::sect193r2(),
217  193, 15, 0,
218  "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B",
219  "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE",
220  "0400D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C",
221  "010000000000000000000000015AAB561B005413CCD4EE99D5",
222  2),
223  EcRecommendedParameters<EC2N>(ASN1::sect233k1(),
224  233, 74, 0,
225  "000000000000000000000000000000000000000000000000000000000000",
226  "000000000000000000000000000000000000000000000000000000000001",
227  "04017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD612601DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
228  "8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
229  4),
230  EcRecommendedParameters<EC2N>(ASN1::sect233r1(),
231  233, 74, 0,
232  "000000000000000000000000000000000000000000000000000000000001",
233  "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
234  "0400FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
235  "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
236  2),
237  EcRecommendedParameters<EC2N>(ASN1::sect409k1(),
238  409, 87, 0,
239  "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
240  "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
241  "040060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE902374601E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
242  "7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
243  4),
244  EcRecommendedParameters<EC2N>(ASN1::sect409r1(),
245  409, 87, 0,
246  "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
247  "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
248  "04015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A70061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
249  "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
250  2),
251  EcRecommendedParameters<EC2N>(ASN1::sect571k1(),
252  571, 10, 5, 2, 0,
253  "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
254  "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
255  "04026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C89720349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
256  "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
257  4),
258  EcRecommendedParameters<EC2N>(ASN1::sect571r1(),
259  571, 10, 5, 2, 0,
260  "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
261  "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
262  "040303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
263  "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
264  2),
265  };
266  begin = rec;
267  end = rec + sizeof(rec)/sizeof(rec[0]);
268 }
269 
270 static void GetRecommendedParameters(const EcRecommendedParameters<ECP> *&begin, const EcRecommendedParameters<ECP> *&end)
271 {
272  // this array must be sorted by OID
273  static const EcRecommendedParameters<ECP> rec[] = {
274  EcRecommendedParameters<ECP>(ASN1::secp192r1(),
275  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",
276  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",
277  "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",
278  "04188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF101207192B95FFC8DA78631011ED6B24CDD573F977A11E794811",
279  "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",
280  1),
281  EcRecommendedParameters<ECP>(ASN1::secp256r1(),
282  "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",
283  "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",
284  "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",
285  "046B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C2964FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5",
286  "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",
287  1),
288  EcRecommendedParameters<ECP>(ASN1::brainpoolP160r1(),
289  "E95E4A5F737059DC60DFC7AD95B3D8139515620F",
290  "340E7BE2A280EB74E2BE61BADA745D97E8F7C300",
291  "1E589A8595423412134FAA2DBDEC95C8D8675E58",
292  "04BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC31667CB477A1A8EC338F94741669C976316DA6321",
293  "E95E4A5F737059DC60DF5991D45029409E60FC09",
294  1),
295  EcRecommendedParameters<ECP>(ASN1::brainpoolP192r1(),
296  "C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297",
297  "6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF",
298  "469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9",
299  "04C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD614B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F",
300  "C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1",
301  1),
302  EcRecommendedParameters<ECP>(ASN1::brainpoolP224r1(),
303  "D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF",
304  "68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43",
305  "2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B",
306  "040D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD",
307  "D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F",
308  1),
309  EcRecommendedParameters<ECP>(ASN1::brainpoolP256r1(),
310  "A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377",
311  "7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9",
312  "26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6",
313  "048BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997",
314  "A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7",
315  1),
316  EcRecommendedParameters<ECP>(ASN1::brainpoolP320r1(),
317  "D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27",
318  "3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4",
319  "520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6",
320  "0443BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E2061114FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1",
321  "D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311",
322  1),
323  EcRecommendedParameters<ECP>(ASN1::brainpoolP384r1(),
324  "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53",
325  "7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826",
326  "04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11",
327  "041D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315",
328  "8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565",
329  1),
330  EcRecommendedParameters<ECP>(ASN1::brainpoolP512r1(),
331  "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3",
332  "7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA",
333  "3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723",
334  "0481AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F8227DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892",
335  "AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069",
336  1),
337  EcRecommendedParameters<ECP>(ASN1::secp112r1(),
338  "DB7C2ABF62E35E668076BEAD208B",
339  "DB7C2ABF62E35E668076BEAD2088",
340  "659EF8BA043916EEDE8911702B22",
341  "0409487239995A5EE76B55F9C2F098A89CE5AF8724C0A23E0E0FF77500",
342  "DB7C2ABF62E35E7628DFAC6561C5",
343  1),
344  EcRecommendedParameters<ECP>(ASN1::secp112r2(),
345  "DB7C2ABF62E35E668076BEAD208B",
346  "6127C24C05F38A0AAAF65C0EF02C",
347  "51DEF1815DB5ED74FCC34C85D709",
348  "044BA30AB5E892B4E1649DD0928643ADCD46F5882E3747DEF36E956E97",
349  "36DF0AAFD8B8D7597CA10520D04B",
350  4),
351  EcRecommendedParameters<ECP>(ASN1::secp160r1(),
352  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",
353  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",
354  "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",
355  "044A96B5688EF573284664698968C38BB913CBFC8223A628553168947D59DCC912042351377AC5FB32",
356  "0100000000000000000001F4C8F927AED3CA752257",
357  1),
358  EcRecommendedParameters<ECP>(ASN1::secp160k1(),
359  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
360  "0000000000000000000000000000000000000000",
361  "0000000000000000000000000000000000000007",
362  "043B4C382CE37AA192A4019E763036F4F5DD4D7EBB938CF935318FDCED6BC28286531733C3F03C4FEE",
363  "0100000000000000000001B8FA16DFAB9ACA16B6B3",
364  1),
365  EcRecommendedParameters<ECP>(ASN1::secp256k1(),
366  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",
367  "0000000000000000000000000000000000000000000000000000000000000000",
368  "0000000000000000000000000000000000000000000000000000000000000007",
369  "0479BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8",
370  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",
371  1),
372  EcRecommendedParameters<ECP>(ASN1::secp128r1(),
373  "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
374  "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",
375  "E87579C11079F43DD824993C2CEE5ED3",
376  "04161FF7528B899B2D0C28607CA52C5B86CF5AC8395BAFEB13C02DA292DDED7A83",
377  "FFFFFFFE0000000075A30D1B9038A115",
378  1),
379  EcRecommendedParameters<ECP>(ASN1::secp128r2(),
380  "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",
381  "D6031998D1B3BBFEBF59CC9BBFF9AEE1",
382  "5EEEFCA380D02919DC2C6558BB6D8A5D",
383  "047B6AA5D85E572983E6FB32A7CDEBC14027B6916A894D3AEE7106FE805FC34B44",
384  "3FFFFFFF7FFFFFFFBE0024720613B5A3",
385  4),
386  EcRecommendedParameters<ECP>(ASN1::secp160r2(),
387  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",
388  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",
389  "B4E134D3FB59EB8BAB57274904664D5AF50388BA",
390  "0452DCB034293A117E1F4FF11B30F7199D3144CE6DFEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E",
391  "0100000000000000000000351EE786A818F3A1A16B",
392  1),
393  EcRecommendedParameters<ECP>(ASN1::secp192k1(),
394  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",
395  "000000000000000000000000000000000000000000000000",
396  "000000000000000000000000000000000000000000000003",
397  "04DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D",
398  "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",
399  1),
400  EcRecommendedParameters<ECP>(ASN1::secp224k1(),
401  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",
402  "00000000000000000000000000000000000000000000000000000000",
403  "00000000000000000000000000000000000000000000000000000005",
404  "04A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5",
405  "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",
406  1),
407  EcRecommendedParameters<ECP>(ASN1::secp224r1(),
408  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",
409  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",
410  "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",
411  "04B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34",
412  "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",
413  1),
414  EcRecommendedParameters<ECP>(ASN1::secp384r1(),
415  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",
416  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",
417  "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",
418  "04AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB73617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F",
419  "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",
420  1),
421  EcRecommendedParameters<ECP>(ASN1::secp521r1(),
422  "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
423  "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",
424  "0051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",
425  "0400C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD16650",
426  "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",
427  1),
428  };
429  begin = rec;
430  end = rec + sizeof(rec)/sizeof(rec[0]);
431 }
432 
434 {
435  const EcRecommendedParameters<EllipticCurve> *begin, *end;
436  GetRecommendedParameters(begin, end);
437  const EcRecommendedParameters<EllipticCurve> *it = std::upper_bound(begin, end, oid, OIDLessThan());
438  return (it == end ? OID() : it->oid);
439 }
440 
441 template <class EC> void DL_GroupParameters_EC<EC>::Initialize(const OID &oid)
442 {
443  const EcRecommendedParameters<EllipticCurve> *begin, *end;
444  GetRecommendedParameters(begin, end);
445  const EcRecommendedParameters<EllipticCurve> *it = std::lower_bound(begin, end, oid, OIDLessThan());
446  if (it == end || it->oid != oid)
447  throw UnknownOID();
448 
449  const EcRecommendedParameters<EllipticCurve> &param = *it;
450  m_oid = oid;
451  member_ptr<EllipticCurve> ec(param.NewEC());
452  this->m_groupPrecomputation.SetCurve(*ec);
453 
454  StringSource ssG(param.g, true, new HexDecoder);
455  Element G;
456  bool result = GetCurve().DecodePoint(G, ssG, (size_t)ssG.MaxRetrievable());
457  this->SetSubgroupGenerator(G);
458 
459  // TODO: this fails in practice. Should it throw?
460  CRYPTOPP_UNUSED(result); assert(result);
461 
462  StringSource ssN(param.n, true, new HexDecoder);
463  m_n.Decode(ssN, (size_t)ssN.MaxRetrievable());
464  m_k = param.h;
465 }
466 
467 template <class EC>
468 bool DL_GroupParameters_EC<EC>::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
469 {
470  if (strcmp(name, Name::GroupOID()) == 0)
471  {
472  if (m_oid.m_values.empty())
473  return false;
474 
475  this->ThrowIfTypeMismatch(name, typeid(OID), valueType);
476  *reinterpret_cast<OID *>(pValue) = m_oid;
477  return true;
478  }
479  else
480  return GetValueHelper<DL_GroupParameters<Element> >(this, name, valueType, pValue).Assignable()
481  CRYPTOPP_GET_FUNCTION_ENTRY(Curve);
482 }
483 
484 template <class EC>
486 {
487  OID oid;
488  if (source.GetValue(Name::GroupOID(), oid))
489  Initialize(oid);
490  else
491  {
492  EllipticCurve ec;
493  Point G;
494  Integer n;
495 
496  source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::Curve(), ec);
497  source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupGenerator(), G);
498  source.GetRequiredParameter("DL_GroupParameters_EC<EC>", Name::SubgroupOrder(), n);
500 
501  Initialize(ec, G, n, k);
502  }
503 }
504 
505 template <class EC>
507 {
508  try
509  {
510  CRYPTOPP_UNUSED(rng);
511  AssignFrom(alg);
512  }
513  catch (InvalidArgument &)
514  {
515  throw NotImplemented("DL_GroupParameters_EC<EC>: curve generation is not implemented yet");
516  }
517 }
518 
519 template <class EC>
521 {
522  byte b;
523  if (!bt.Peek(b))
524  BERDecodeError();
525  if (b == OBJECT_IDENTIFIER)
526  Initialize(OID(bt));
527  else
528  {
529  BERSequenceDecoder seq(bt);
530  word32 version;
531  BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1); // check version
532  EllipticCurve ec(seq);
533  Point G = ec.BERDecodePoint(seq);
534  Integer n(seq);
535  Integer k;
536  bool cofactorPresent = !seq.EndReached();
537  if (cofactorPresent)
538  k.BERDecode(seq);
539  else
540  k = Integer::Zero();
541  seq.MessageEnd();
542 
543  Initialize(ec, G, n, k);
544  }
545 }
546 
547 template <class EC>
549 {
550  if (m_encodeAsOID && !m_oid.m_values.empty())
551  m_oid.DEREncode(bt);
552  else
553  {
554  DERSequenceEncoder seq(bt);
555  DEREncodeUnsigned<word32>(seq, 1); // version
556  GetCurve().DEREncode(seq);
557  GetCurve().DEREncodePoint(seq, this->GetSubgroupGenerator(), m_compress);
558  m_n.DEREncode(seq);
559  if (m_k.NotZero())
560  m_k.DEREncode(seq);
561  seq.MessageEnd();
562  }
563 }
564 
565 template <class EC>
567 {
568  if (!m_k)
569  {
570  Integer q = GetCurve().FieldSize();
571  Integer qSqrt = q.SquareRoot();
572  m_k = (q+2*qSqrt+1)/m_n;
573  }
574 
575  return m_k;
576 }
577 
578 template <class EC>
580 {
581  return ConvertToInteger(element.x);
582 };
583 
584 template <class EC>
586 {
587  bool pass = GetCurve().ValidateParameters(rng, level);
588 
589  Integer q = GetCurve().FieldSize();
590  pass = pass && m_n!=q;
591 
592  if (level >= 2)
593  {
594  Integer qSqrt = q.SquareRoot();
595  pass = pass && m_n>4*qSqrt;
596  pass = pass && VerifyPrime(rng, m_n, level-2);
597  pass = pass && (m_k.IsZero() || m_k == (q+2*qSqrt+1)/m_n);
598  pass = pass && CheckMOVCondition(q, m_n);
599  }
600 
601  return pass;
602 }
603 
604 template <class EC>
605 bool DL_GroupParameters_EC<EC>::ValidateElement(unsigned int level, const Element &g, const DL_FixedBasePrecomputation<Element> *gpc) const
606 {
607  bool pass = !IsIdentity(g) && GetCurve().VerifyPoint(g);
608  if (level >= 1)
609  {
610  if (gpc)
611  pass = pass && gpc->Exponentiate(this->GetGroupPrecomputation(), Integer::One()) == g;
612  }
613  if (level >= 2 && pass)
614  {
615  const Integer &q = GetSubgroupOrder();
616  Element gq = gpc ? gpc->Exponentiate(this->GetGroupPrecomputation(), q) : this->ExponentiateElement(g, q);
617  pass = pass && IsIdentity(gq);
618  }
619  return pass;
620 }
621 
622 template <class EC>
623 void DL_GroupParameters_EC<EC>::SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
624 {
625  GetCurve().SimultaneousMultiply(results, base, exponents, exponentsCount);
626 }
627 
628 template <class EC>
629 CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::MultiplyElements(const Element &a, const Element &b) const
630 {
631  return GetCurve().Add(a, b);
632 }
633 
634 template <class EC>
635 CPP_TYPENAME DL_GroupParameters_EC<EC>::Element DL_GroupParameters_EC<EC>::CascadeExponentiate(const Element &element1, const Integer &exponent1, const Element &element2, const Integer &exponent2) const
636 {
637  return GetCurve().CascadeMultiply(exponent1, element1, exponent2, element2);
638 }
639 
640 template <class EC>
642 {
643  return ASN1::id_ecPublicKey();
644 }
645 
646 // ******************************************************************
647 
648 template <class EC>
649 void DL_PublicKey_EC<EC>::BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
650 {
651  CRYPTOPP_UNUSED(parametersPresent);
652 
653  typename EC::Point P;
654  if (!this->GetGroupParameters().GetCurve().DecodePoint(P, bt, size))
655  BERDecodeError();
656  this->SetPublicElement(P);
657 }
658 
659 template <class EC>
661 {
662  this->GetGroupParameters().GetCurve().EncodePoint(bt, this->GetPublicElement(), this->GetGroupParameters().GetPointCompression());
663 }
664 
665 // ******************************************************************
666 
667 template <class EC>
668 void DL_PrivateKey_EC<EC>::BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
669 {
670  CRYPTOPP_UNUSED(size);
671  BERSequenceDecoder seq(bt);
672  word32 version;
673  BERDecodeUnsigned<word32>(seq, version, INTEGER, 1, 1); // check version
674 
675  BERGeneralDecoder dec(seq, OCTET_STRING);
676  if (!dec.IsDefiniteLength())
677  BERDecodeError();
678  Integer x;
679  x.Decode(dec, (size_t)dec.RemainingLength());
680  dec.MessageEnd();
681  if (!parametersPresent && seq.PeekByte() != (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
682  BERDecodeError();
683  if (!seq.EndReached() && seq.PeekByte() == (CONTEXT_SPECIFIC | CONSTRUCTED | 0))
684  {
685  BERGeneralDecoder parameters(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 0);
686  this->AccessGroupParameters().BERDecode(parameters);
687  parameters.MessageEnd();
688  }
689  if (!seq.EndReached())
690  {
691  // skip over the public element
692  SecByteBlock subjectPublicKey;
693  unsigned int unusedBits;
694  BERGeneralDecoder publicKey(seq, CONTEXT_SPECIFIC | CONSTRUCTED | 1);
695  BERDecodeBitString(publicKey, subjectPublicKey, unusedBits);
696  publicKey.MessageEnd();
697  Element Q;
698  if (!(unusedBits == 0 && this->GetGroupParameters().GetCurve().DecodePoint(Q, subjectPublicKey, subjectPublicKey.size())))
699  BERDecodeError();
700  }
701  seq.MessageEnd();
702 
703  this->SetPrivateExponent(x);
704 }
705 
706 template <class EC>
708 {
709  DERSequenceEncoder privateKey(bt);
710  DEREncodeUnsigned<word32>(privateKey, 1); // version
711  // SEC 1 ver 1.0 says privateKey (m_d) has the same length as order of the curve
712  // this will be changed to order of base point in a future version
713  this->GetPrivateExponent().DEREncodeAsOctetString(privateKey, this->GetGroupParameters().GetSubgroupOrder().ByteCount());
714  privateKey.MessageEnd();
715 }
716 
717 NAMESPACE_END
718 
719 #endif
Standard names for retrieving values by name when working with NameValuePairs.
An invalid argument was detected.
Definition: cryptlib.h:182
void GetRequiredParameter(const char *className, const char *name, T &value) const
Retrieves a required name/value pair.
Definition: cryptlib.h:406
Utility functions for the Crypto++ library.
void AssignFrom(const NameValuePairs &source)
Assign values to this object.
Definition: eccrypto.cpp:485
virtual size_t Peek(byte &outByte) const
Peek a 8-bit byte.
Definition: cryptlib.cpp:537
T GetValueWithDefault(const char *name, T defaultValue) const
Get a named value.
Definition: cryptlib.h:348
GF(2^n) with Trinomial Basis.
Definition: gf2n.h:318
Elliptic Curve over GF(p), where p is prime.
Definition: ecp.h:42
bool GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
Get a named value.
Definition: eccrypto.cpp:468
Decode base 16 data back to bytes.
Definition: hex.h:36
bool IsEven() const
Determines if the Integer is even parity.
Definition: integer.h:330
unsigned int ByteCount() const
number of significant bytes = ceiling(BitCount()/8)
Definition: gf2n.cpp:189
size_type size() const
Provides the count of elements in the SecBlock.
Definition: secblock.h:521
ASN.1 object identifiers for algorthms and schemes.
Classes for automatic resource management.
Library configuration file.
Interface for random number generators.
Definition: cryptlib.h:1186
void GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &alg)
this implementation doesn't actually generate a curve, it just initializes the parameters with existi...
Definition: eccrypto.cpp:506
SecBlock typedef.
Definition: secblock.h:728
BER Sequence Decoder.
Definition: asn.h:294
Interface for buffered transformations.
Definition: cryptlib.h:1352
static const Integer & One()
Integer representing 1.
Definition: integer.cpp:3016
void DEREncodePrivateKey(BufferedTransformation &bt) const
encode privateKey part of privateKeyInfo, without the OCTET STRING header
Definition: eccrypto.cpp:707
Polynomial with Coefficients in GF(2)
Definition: gf2n.h:18
Pointer that overloads operator ->
Definition: smartptr.h:39
Classes for Elliptic Curves over binary fields.
unsigned int BitCount() const
Determines the number of bits required to represent the Integer.
Definition: integer.cpp:3277
bool ValidateGroup(RandomNumberGenerator &rng, unsigned int level) const
Check the group for errors.
Definition: eccrypto.cpp:585
Integer SquareRoot() const
extract square root, if negative return 0, else return floor of square root
Definition: integer.cpp:4145
bool GetValue(const char *name, T &value) const
Get a named value.
Definition: cryptlib.h:335
MQV domain for performing authenticated key agreement.
Definition: mqv.h:26
A method was called which was not implemented.
Definition: cryptlib.h:203
bool VerifyPrime(RandomNumberGenerator &rng, const Integer &p, unsigned int level=1)
Verifies a prime number.
Definition: nbtheory.cpp:249
Classes for HexEncoder and HexDecoder.
const char * GroupOID()
OID.
Definition: argnames.h:40
void Encode(byte *output, size_t outputLen) const
encode in big-endian format
Definition: gf2n.cpp:144
Multiple precision integer with arithmetic operations.
Definition: integer.h:31
Elliptic Curve over GF(2^n)
Definition: ec2n.h:44
const char * SubgroupGenerator()
Integer, ECP::Point, or EC2N::Point.
Definition: argnames.h:38
void DEREncodePublicKey(BufferedTransformation &bt) const
encode subjectPublicKey part of subjectPublicKeyInfo, without the BIT STRING header ...
Definition: eccrypto.cpp:660
Diffie-Hellman domain.
Definition: dh.h:23
void BERDecodeError()
Raises a BERDecodeErr.
Definition: asn.h:61
Classes and functions for working with ANS.1 objects.
Elliptic Curve Parameters.
Definition: eccrypto.h:29
Implementation of BufferedTransformation's attachment interface.
GF(2^n) with Pentanomial Basis.
Definition: gf2n.h:342
Classes and functions for number theoretic operations.
DER Sequence Encoder.
Definition: asn.h:304
const char * Cofactor()
Integer.
Definition: argnames.h:37
Exception thrown when an unknown object identifier is encountered.
Definition: asn.h:64
void Decode(const byte *input, size_t inputLen, Signedness sign=UNSIGNED)
Decode from big-endian byte array.
Definition: integer.cpp:3286
virtual lword MaxRetrievable() const
Provides the number of bytes ready for retrieval.
Definition: cryptlib.cpp:499
static const Integer & Zero()
Integer representing 0.
Definition: integer.cpp:3011
size_t BERDecodeBitString(BufferedTransformation &bt, SecByteBlock &str, unsigned int &unusedBits)
DER decode bit string.
Definition: asn.cpp:182
void BERDecode(const byte *input, size_t inputLen)
Decode from BER format.
Definition: integer.cpp:3367
Classes and functions for Elliptic Curves over prime and binary fields.
Crypto++ library namespace.
const char * Curve()
ECP or EC2N.
Definition: argnames.h:39
BER General Decoder.
Definition: asn.h:234
Integer GetCofactor() const
Retrieves the cofactor.
Definition: eccrypto.cpp:566
Object Identifier.
Definition: asn.h:158
const char * SubgroupOrder()
Integer.
Definition: argnames.h:36
void BERDecodePublicKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
decode subjectPublicKey part of subjectPublicKeyInfo, without the BIT STRING header ...
Definition: eccrypto.cpp:649
void BERDecodePrivateKey(BufferedTransformation &bt, bool parametersPresent, size_t size)
decode privateKey part of privateKeyInfo, without the OCTET STRING header
Definition: eccrypto.cpp:668
Interface for retrieving values given their names.
Definition: cryptlib.h:277
Template implementing constructors for public key algorithm classes.
Definition: pubkey.h:2030