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