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@@ -4,6 +4,7 @@
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EC_GROUP_get_ecparameters,
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EC_GROUP_get_ecpkparameters,
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EC_GROUP_new_ex,
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EC_GROUP_new,
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EC_GROUP_new_from_ecparameters,
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EC_GROUP_new_from_ecpkparameters,
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@@ -11,6 +12,7 @@ EC_GROUP_free,
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EC_GROUP_clear_free,
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EC_GROUP_new_curve_GFp,
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EC_GROUP_new_curve_GF2m,
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EC_GROUP_new_by_curve_name_ex,
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EC_GROUP_new_by_curve_name,
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EC_GROUP_set_curve,
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EC_GROUP_get_curve,
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@@ -25,6 +27,7 @@ objects
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#include <openssl/ec.h>
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EC_GROUP *EC_GROUP_new_ex(OPENSSL_CTX *libctx, const EC_METHOD *meth);
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EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
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EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params)
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EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params)
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@@ -35,6 +38,7 @@ objects
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const BIGNUM *b, BN_CTX *ctx);
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EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
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const BIGNUM *b, BN_CTX *ctx);
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EC_GROUP *EC_GROUP_new_by_curve_name_ex(OPENSSL_CTX *libctx, int nid);
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EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
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int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
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@@ -71,12 +75,18 @@ y^2 + xy = x^3 + ax^2 + b (where b != 0)
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Operations in a binary field are performed relative to an B<irreducible polynomial>. All such curves with OpenSSL
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use a trinomial or a pentanomial for this parameter.
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A new curve can be constructed by calling EC_GROUP_new, using the implementation provided by B<meth> (see
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L<EC_GFp_simple_method(3)>). It is then necessary to call EC_GROUP_set_curve() to set the curve parameters.
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A new curve can be constructed by calling EC_GROUP_new_ex, using the implementation provided by B<meth> (see
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L<EC_GFp_simple_method(3)>) and associated with the library context B<ctx>
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(see L<OPENSSL_CTX(3)>).
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The B<ctx> parameter may be NULL in which case the default library context is used.
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It is then necessary to call EC_GROUP_set_curve() to set the curve parameters.
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EC_GROUP_new_from_ecparameters() will create a group from the
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specified B<params> and
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EC_GROUP_new_from_ecpkparameters() will create a group from the specific PK B<params>.
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EC_GROUP_new is the same as EC_GROUP_new_ex() except that the library context
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used is always the default library context.
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EC_GROUP_set_curve() sets the curve parameters B<p>, B<a> and B<b>. For a curve over Fp B<b>
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is the prime for the field. For a curve over F2^m B<p> represents the irreducible polynomial - each bit
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represents a term in the polynomial. Therefore there will either be three or five bits set dependent on whether
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@@ -109,8 +119,12 @@ The EC_builtin_curve structure is defined as follows:
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Each EC_builtin_curve item has a unique integer id (B<nid>), and a human readable comment string describing the curve.
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In order to construct a builtin curve use the function EC_GROUP_new_by_curve_name and provide the B<nid> of the curve to
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be constructed.
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In order to construct a builtin curve use the function EC_GROUP_new_by_curve_name_ex and provide the B<nid> of the curve to
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be constructed and the associated library context to be used in B<ctx> (see L<OPENSSL_CTX(3)>).
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The B<ctx> value may be NULL in which case the default library context is used.
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EC_GROUP_new_by_curve_name is the same as EC_GROUP_new_by_curve_name_ex except
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that the default library context is always used.
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EC_GROUP_free frees the memory associated with the EC_GROUP.
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If B<group> is NULL nothing is done.
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@@ -130,7 +144,12 @@ EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, EC_GROUP_set_curve_GF2m, EC_GROU
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L<crypto(7)>, L<EC_GROUP_copy(3)>,
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L<EC_POINT_new(3)>, L<EC_POINT_add(3)>, L<EC_KEY_new(3)>,
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L<EC_GFp_simple_method(3)>, L<d2i_ECPKParameters(3)>
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L<EC_GFp_simple_method(3)>, L<d2i_ECPKParameters(3)>,
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L<OPENSSL_CTX(3)>
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=head1 HISTORY
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EC_GROUP_new_ex and EC_GROUP_new_by_curve_name_ex were added in OpenSSL 3.0.
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=head1 COPYRIGHT
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