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Create defines for TLS Group Ids
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1=pod
2
3=head1 NAME
4
5EC_GROUP_get_ecparameters,
6EC_GROUP_get_ecpkparameters,
7EC_GROUP_new,
8EC_GROUP_new_from_ecparameters,
9EC_GROUP_new_from_ecpkparameters,
10EC_GROUP_free,
11EC_GROUP_clear_free,
12EC_GROUP_new_curve_GFp,
13EC_GROUP_new_curve_GF2m,
14EC_GROUP_new_by_curve_name_ex,
15EC_GROUP_new_by_curve_name,
16EC_GROUP_set_curve,
17EC_GROUP_get_curve,
18EC_GROUP_set_curve_GFp,
19EC_GROUP_get_curve_GFp,
20EC_GROUP_set_curve_GF2m,
21EC_GROUP_get_curve_GF2m,
22EC_get_builtin_curves - Functions for creating and destroying EC_GROUP
23objects
24
25=head1 SYNOPSIS
26
27 #include <openssl/ec.h>
28
29 EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params)
30 EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params)
31 void EC_GROUP_free(EC_GROUP *group);
32
33 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
34 const BIGNUM *b, BN_CTX *ctx);
35 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
36 const BIGNUM *b, BN_CTX *ctx);
37 EC_GROUP *EC_GROUP_new_by_curve_name_ex(OPENSSL_CTX *libctx, int nid);
38 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
39
40 int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
41 const BIGNUM *b, BN_CTX *ctx);
42 int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
43 BN_CTX *ctx);
44 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p,
45 const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
46 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p,
47 BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
48 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p,
49 const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
50 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p,
51 BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
52
53 ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group, ECPARAMETERS *params)
54 ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group, ECPKPARAMETERS *params)
55
56 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
57
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
62 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
63 void EC_GROUP_clear_free(EC_GROUP *group);
64
65=head1 DESCRIPTION
66
67Within the library there are two forms of elliptic curve that are of interest.
68The first form is those defined over the prime field Fp. The elements of Fp are
69the integers 0 to p-1, where p is a prime number. This gives us a revised
70elliptic curve equation as follows:
71
72y^2 mod p = x^3 +ax + b mod p
73
74The second form is those defined over a binary field F2^m where the elements of
75the field are integers of length at most m bits. For this form the elliptic
76curve equation is modified to:
77
78y^2 + xy = x^3 + ax^2 + b (where b != 0)
79
80Operations in a binary field are performed relative to an
81B<irreducible polynomial>. All such curves with OpenSSL use a trinomial or a
82pentanomial for this parameter.
83
84Although deprecated since OpenSSL 3.0 and should no longer be used,
85a new curve can be constructed by calling EC_GROUP_new(), using the
86implementation provided by B<meth> (see L<EC_GFp_simple_method(3)>) and
87associated with the library context B<ctx> (see L<OPENSSL_CTX(3)>).
88The B<ctx> parameter may be NULL in which case the default library context is
89used.
90It is then necessary to call EC_GROUP_set_curve() to set the curve parameters.
91Applications should instead use one of the other EC_GROUP_new_* constructors.
92
93EC_GROUP_new_from_ecparameters() will create a group from the
94specified B<params> and
95EC_GROUP_new_from_ecpkparameters() will create a group from the specific PK
96B<params>.
97
98EC_GROUP_set_curve() sets the curve parameters B<p>, B<a> and B<b>. For a curve
99over Fp B<p> is the prime for the field. For a curve over F2^m B<p> represents
100the irreducible polynomial - each bit represents a term in the polynomial.
101Therefore there will either be three or five bits set dependent on whether the
102polynomial is a trinomial or a pentanomial.
103In either case, B<a> and B<b> represents the coefficients a and b from the
104relevant equation introduced above.
105
106EC_group_get_curve() obtains the previously set curve parameters.
107
108EC_GROUP_set_curve_GFp() and EC_GROUP_set_curve_GF2m() are synonyms for
109EC_GROUP_set_curve(). They are defined for backwards compatibility only and
110should not be used.
111
112EC_GROUP_get_curve_GFp() and EC_GROUP_get_curve_GF2m() are synonyms for
113EC_GROUP_get_curve(). They are defined for backwards compatibility only and
114should not be used.
115
116The functions EC_GROUP_new_curve_GFp() and EC_GROUP_new_curve_GF2m() are
117shortcuts for calling EC_GROUP_new() and then the EC_GROUP_set_curve() function.
118An appropriate default implementation method will be used.
119
120Whilst the library can be used to create any curve using the functions described
121above, there are also a number of predefined curves that are available. In order
122to obtain a list of all of the predefined curves, call the function
123EC_get_builtin_curves(). The parameter B<r> should be an array of
124EC_builtin_curve structures of size B<nitems>. The function will populate the
125B<r> array with information about the built-in curves. If B<nitems> is less than
126the total number of curves available, then the first B<nitems> curves will be
127returned. Otherwise the total number of curves will be provided. The return
128value is the total number of curves available (whether that number has been
129populated in B<r> or not). Passing a NULL B<r>, or setting B<nitems> to 0 will
130do nothing other than return the total number of curves available.
131The EC_builtin_curve structure is defined as follows:
132
133 typedef struct {
134 int nid;
135 const char *comment;
136 } EC_builtin_curve;
137
138Each EC_builtin_curve item has a unique integer id (B<nid>), and a human
139readable comment string describing the curve.
140
141In order to construct a built-in curve use the function
142EC_GROUP_new_by_curve_name_ex() and provide the B<nid> of the curve to be
143constructed and the associated library context to be used in B<ctx> (see
144L<OPENSSL_CTX(3)>). The B<ctx> value may be NULL in which case the default
145library context is used.
146
147EC_GROUP_new_by_curve_name() is the same as EC_GROUP_new_by_curve_name_ex()
148except that the default library context is always used.
149
150EC_GROUP_free() frees the memory associated with the EC_GROUP.
151If B<group> is NULL nothing is done.
152
153EC_GROUP_clear_free() is deprecated: it was meant to destroy any sensitive data
154held within the EC_GROUP and then free its memory, but since all the data stored
155in the EC_GROUP is public anyway, this function is unnecessary.
156Its use can be safely replaced with EC_GROUP_free().
157If B<group> is NULL nothing is done.
158
159=head1 RETURN VALUES
160
161All EC_GROUP_new* functions return a pointer to the newly constructed group, or
162NULL on error.
163
164EC_get_builtin_curves() returns the number of built-in curves that are
165available.
166
167EC_GROUP_set_curve_GFp(), EC_GROUP_get_curve_GFp(), EC_GROUP_set_curve_GF2m(),
168EC_GROUP_get_curve_GF2m() return 1 on success or 0 on error.
169
170=head1 SEE ALSO
171
172L<crypto(7)>, L<EC_GROUP_copy(3)>,
173L<EC_POINT_new(3)>, L<EC_POINT_add(3)>, L<EC_KEY_new(3)>,
174L<EC_GFp_simple_method(3)>, L<d2i_ECPKParameters(3)>,
175L<OPENSSL_CTX(3)>
176
177=head1 HISTORY
178
179=over 2
180
181=item *
182
183EC_GROUP_new() was deprecated in OpenSSL 3.0.
184
185EC_GROUP_new_by_curve_name_ex() was added in OpenSSL 3.0.
186
187=item *
188
189EC_GROUP_clear_free() was deprecated in OpenSSL 3.0; use EC_GROUP_free()
190instead.
191
192=back
193
194=head1 COPYRIGHT
195
196Copyright 2013-2020 The OpenSSL Project Authors. All Rights Reserved.
197
198Licensed under the Apache License 2.0 (the "License"). You may not use
199this file except in compliance with the License. You can obtain a copy
200in the file LICENSE in the source distribution or at
201L<https://www.openssl.org/source/license.html>.
202
203=cut