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New function EC_GROUP_to_params to convert an EC_GROUP to an array of OSSL_PARAM.
[thirdparty/openssl.git] / doc / man3 / EC_GROUP_new.pod
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1=pod
2
3=head1 NAME
4
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5EC_GROUP_get_ecparameters,
6EC_GROUP_get_ecpkparameters,
c0f39ded 7EC_GROUP_new_from_params,
a8aad913 8EC_GROUP_to_params,
de34e45a 9EC_GROUP_new_from_ecparameters,
60b350a3 10EC_GROUP_new_from_ecpkparameters,
c0f39ded 11EC_GROUP_new,
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12EC_GROUP_free,
13EC_GROUP_clear_free,
14EC_GROUP_new_curve_GFp,
15EC_GROUP_new_curve_GF2m,
d8652be0 16EC_GROUP_new_by_curve_name_ex,
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17EC_GROUP_new_by_curve_name,
18EC_GROUP_set_curve,
19EC_GROUP_get_curve,
20EC_GROUP_set_curve_GFp,
21EC_GROUP_get_curve_GFp,
22EC_GROUP_set_curve_GF2m,
23EC_GROUP_get_curve_GF2m,
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24EC_get_builtin_curves,
25OSSL_EC_curve_nid2name -
26Functions for creating and destroying EC_GROUP objects
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27
28=head1 SYNOPSIS
29
30 #include <openssl/ec.h>
aafbe1cc 31
c0f39ded 32 EC_GROUP *EC_GROUP_new_from_params(const OSSL_PARAM params[],
b4250010 33 OSSL_LIB_CTX *libctx, const char *propq);
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34 OSSL_PARAM *EC_GROUP_to_params(const EC_GROUP *group, OSSL_LIB_CTX *libctx,
35 const char *propq, BN_CTX *bnctx);
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36 EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params);
37 EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params);
aafbe1cc 38 void EC_GROUP_free(EC_GROUP *group);
aafbe1cc 39
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40 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
41 const BIGNUM *b, BN_CTX *ctx);
42 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
43 const BIGNUM *b, BN_CTX *ctx);
b4250010 44 EC_GROUP *EC_GROUP_new_by_curve_name_ex(OSSL_LIB_CTX *libctx, const char *propq,
d8652be0 45 int nid);
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46 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
47
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48 int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
49 const BIGNUM *b, BN_CTX *ctx);
50 int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
51 BN_CTX *ctx);
aafbe1cc 52
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53 ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
54 ECPARAMETERS *params);
55 ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
56 ECPKPARAMETERS *params);
60b350a3 57
aafbe1cc 58 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
f9253152 59 const char *OSSL_EC_curve_nid2name(int nid);
aafbe1cc 60
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61The following functions have been deprecated since OpenSSL 3.0, and can be
62hidden entirely by defining B<OPENSSL_API_COMPAT> with a suitable version value,
63see L<openssl_user_macros(7)>:
4a7a4972 64
23ccae80 65 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
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66 void EC_GROUP_clear_free(EC_GROUP *group);
67
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68 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p,
69 const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
70 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p,
71 BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
72 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p,
73 const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
74 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p,
75 BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
76
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77=head1 DESCRIPTION
78
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79Within the library there are two forms of elliptic curve that are of interest.
80The first form is those defined over the prime field Fp. The elements of Fp are
81the integers 0 to p-1, where p is a prime number. This gives us a revised
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82elliptic curve equation as follows:
83
84y^2 mod p = x^3 +ax + b mod p
85
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86The second form is those defined over a binary field F2^m where the elements of
87the field are integers of length at most m bits. For this form the elliptic
88curve equation is modified to:
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89
90y^2 + xy = x^3 + ax^2 + b (where b != 0)
91
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92Operations in a binary field are performed relative to an
93B<irreducible polynomial>. All such curves with OpenSSL use a trinomial or a
94pentanomial for this parameter.
aafbe1cc 95
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96Although deprecated since OpenSSL 3.0 and should no longer be used,
97a new curve can be constructed by calling EC_GROUP_new(), using the
2da8d4eb 98implementation provided by I<meth> (see L<EC_GFp_simple_method(3)>) and
b4250010 99associated with the library context I<ctx> (see L<OSSL_LIB_CTX(3)>).
2da8d4eb 100The I<ctx> parameter may be NULL in which case the default library context is
4fc55c1d 101used.
f585cefc 102It is then necessary to call EC_GROUP_set_curve() to set the curve parameters.
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103Applications should instead use one of the other EC_GROUP_new_* constructors.
104
c0f39ded 105EC_GROUP_new_from_params() creates a group with parameters specified by I<params>.
b4250010 106The library context I<libctx> (see L<OSSL_LIB_CTX(3)>) and property query string
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107I<propq> are used to fetch algorithms from providers.
108I<params> may be either a list of explicit params or a named group,
109The values for I<ctx> and I<propq> may be NULL.
110The I<params> that can be used are described in
111L<B<EVP_PKEY-EC>(7)|EVP_PKEY-EC(7)/Common EC parameters>.
112
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113EC_GROUP_to_params creates an OSSL_PARAM array with the corresponding parameters
114describing the given EC_GROUP. The resulting parameters may contain parameters
115describing a named or explicit curve depending on the EC_GROUP.
116The library context I<libctx> (see L<OSSL_LIB_CTX(3)>) and property query string
117I<propq> are used to fetch algorithms from providers.
118I<bnctx> is an optional preallocated BN_CTX (to save the overhead of allocating
119and freeing the structure in a loop).
120The values for I<libctx>, I<propq> and I<bnctx> may be NULL.
121The caller is responsible for freeing the OSSL_PARAM pointer returned.
122
60b350a3 123EC_GROUP_new_from_ecparameters() will create a group from the
2da8d4eb 124specified I<params> and
4fc55c1d 125EC_GROUP_new_from_ecpkparameters() will create a group from the specific PK
2da8d4eb 126I<params>.
aafbe1cc 127
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128EC_GROUP_set_curve() sets the curve parameters I<p>, I<a> and I<b>. For a curve
129over Fp I<p> is the prime for the field. For a curve over F2^m I<p> represents
4fc55c1d 130the irreducible polynomial - each bit represents a term in the polynomial.
8c1cbc72 131Therefore, there will either be three or five bits set dependent on whether the
4fc55c1d 132polynomial is a trinomial or a pentanomial.
2da8d4eb 133In either case, I<a> and I<b> represents the coefficients a and b from the
eb2ff040 134relevant equation introduced above.
aafbe1cc 135
de34e45a 136EC_group_get_curve() obtains the previously set curve parameters.
aafbe1cc 137
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138EC_GROUP_set_curve_GFp() and EC_GROUP_set_curve_GF2m() are synonyms for
139EC_GROUP_set_curve(). They are defined for backwards compatibility only and
140should not be used.
141
142EC_GROUP_get_curve_GFp() and EC_GROUP_get_curve_GF2m() are synonyms for
143EC_GROUP_get_curve(). They are defined for backwards compatibility only and
144should not be used.
145
146The functions EC_GROUP_new_curve_GFp() and EC_GROUP_new_curve_GF2m() are
147shortcuts for calling EC_GROUP_new() and then the EC_GROUP_set_curve() function.
148An appropriate default implementation method will be used.
149
150Whilst the library can be used to create any curve using the functions described
151above, there are also a number of predefined curves that are available. In order
152to obtain a list of all of the predefined curves, call the function
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153EC_get_builtin_curves(). The parameter I<r> should be an array of
154EC_builtin_curve structures of size I<nitems>. The function will populate the
155I<r> array with information about the built-in curves. If I<nitems> is less than
156the total number of curves available, then the first I<nitems> curves will be
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157returned. Otherwise the total number of curves will be provided. The return
158value is the total number of curves available (whether that number has been
2da8d4eb 159populated in I<r> or not). Passing a NULL I<r>, or setting I<nitems> to 0 will
4fc55c1d 160do nothing other than return the total number of curves available.
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161The EC_builtin_curve structure is defined as follows:
162
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163 typedef struct {
164 int nid;
165 const char *comment;
166 } EC_builtin_curve;
aafbe1cc 167
2da8d4eb 168Each EC_builtin_curve item has a unique integer id (I<nid>), and a human
4fc55c1d 169readable comment string describing the curve.
aafbe1cc 170
4fc55c1d 171In order to construct a built-in curve use the function
d8652be0 172EC_GROUP_new_by_curve_name_ex() and provide the I<nid> of the curve to
2da8d4eb 173be constructed, the associated library context to be used in I<ctx> (see
b4250010 174L<OSSL_LIB_CTX(3)>) and any property query string in I<propq>. The I<ctx> value
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175may be NULL in which case the default library context is used. The I<propq>
176value may also be NULL.
f585cefc 177
2da8d4eb 178EC_GROUP_new_by_curve_name() is the same as
d8652be0 179EC_GROUP_new_by_curve_name_ex() except that the default library context
2da8d4eb 180is always used along with a NULL property query string.
aafbe1cc 181
4fc55c1d 182EC_GROUP_free() frees the memory associated with the EC_GROUP.
2da8d4eb 183If I<group> is NULL nothing is done.
aafbe1cc 184
4fc55c1d 185EC_GROUP_clear_free() is deprecated: it was meant to destroy any sensitive data
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186held within the EC_GROUP and then free its memory, but since all the data stored
187in the EC_GROUP is public anyway, this function is unnecessary.
4fc55c1d 188Its use can be safely replaced with EC_GROUP_free().
2da8d4eb 189If I<group> is NULL nothing is done.
aafbe1cc 190
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191OSSL_EC_curve_nid2name() converts a curve I<nid> into the corresponding name.
192
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193=head1 RETURN VALUES
194
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195All EC_GROUP_new* functions return a pointer to the newly constructed group, or
196NULL on error.
aafbe1cc 197
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198EC_get_builtin_curves() returns the number of built-in curves that are
199available.
aafbe1cc 200
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201EC_GROUP_set_curve_GFp(), EC_GROUP_get_curve_GFp(), EC_GROUP_set_curve_GF2m(),
202EC_GROUP_get_curve_GF2m() return 1 on success or 0 on error.
aafbe1cc 203
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204OSSL_EC_curve_nid2name() returns a character string constant, or NULL on error.
205
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206=head1 SEE ALSO
207
9e183d22 208L<crypto(7)>, L<EC_GROUP_copy(3)>,
9b86974e 209L<EC_POINT_new(3)>, L<EC_POINT_add(3)>, L<EC_KEY_new(3)>,
f585cefc 210L<EC_GFp_simple_method(3)>, L<d2i_ECPKParameters(3)>,
b4250010 211L<OSSL_LIB_CTX(3)>, L<EVP_PKEY-EC(7)>
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212
213=head1 HISTORY
214
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215=over 2
216
217=item *
218
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219EC_GROUP_new() was deprecated in OpenSSL 3.0.
220
d8652be0 221EC_GROUP_new_by_curve_name_ex() and EC_GROUP_new_from_params() were
c0f39ded 222added in OpenSSL 3.0.
aafbe1cc 223
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224=item *
225
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226EC_GROUP_clear_free() was deprecated in OpenSSL 3.0; use EC_GROUP_free()
227instead.
4a7a4972 228
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229=item *
230
231 EC_GROUP_set_curve_GFp(), EC_GROUP_get_curve_GFp(),
232 EC_GROUP_set_curve_GF2m() and EC_GROUP_get_curve_GF2m() were deprecated in
233 OpenSSL 3.0; use EC_GROUP_set_curve() and EC_GROUP_get_curve() instead.
234
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235=back
236
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237=head1 COPYRIGHT
238
e52b4215 239Copyright 2013-2021 The OpenSSL Project Authors. All Rights Reserved.
e2f92610 240
4746f25a 241Licensed under the Apache License 2.0 (the "License"). You may not use
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242this file except in compliance with the License. You can obtain a copy
243in the file LICENSE in the source distribution or at
244L<https://www.openssl.org/source/license.html>.
245
246=cut