ecgroup.h File Reference

Elliptic curve group interface. More...

Typedefs

typedef struct EcGroup EcGroup
 Elliptic curve group over finite field.
 
typedef struct EcPoint EcPoint
 Point on elliptic curve over finite field.
 

Functions

EpidStatus NewEcGroup (FiniteField const *ff, FfElement const *a, FfElement const *b, FfElement const *x, FfElement const *y, BigNum const *order, BigNum const *cofactor, EcGroup **g)
 Constructs a new EcGroup. More...
 
void DeleteEcGroup (EcGroup **g)
 Deletes a previously allocated EcGroup. More...
 
EpidStatus NewEcPoint (EcGroup const *g, EcPoint **p)
 Creates a new EcPoint. More...
 
void DeleteEcPoint (EcPoint **p)
 Deletes a previously allocated EcPoint. More...
 
EpidStatus ReadEcPoint (EcGroup *g, ConstOctStr p_str, size_t strlen, EcPoint *p)
 Deserializes an EcPoint from a string. More...
 
EpidStatus WriteEcPoint (EcGroup *g, EcPoint const *p, OctStr p_str, size_t strlen)
 Serializes an EcPoint to a string. More...
 
EpidStatus EcMul (EcGroup *g, EcPoint const *a, EcPoint const *b, EcPoint *r)
 Multiplies two elements in an elliptic curve group. More...
 
EpidStatus EcExp (EcGroup *g, EcPoint const *a, BigNumStr const *b, EcPoint *r)
 Raises a point in an elliptic curve group to a power. More...
 
EpidStatus EcSscmExp (EcGroup *g, EcPoint const *a, BigNumStr const *b, EcPoint *r)
 Software side-channel mitigated implementation of EcExp. More...
 
EpidStatus EcMultiExp (EcGroup *g, EcPoint const **a, BigNumStr const **b, size_t m, EcPoint *r)
 Multi-exponentiates elements in elliptic curve group. More...
 
EpidStatus EcMultiExpBn (EcGroup *g, EcPoint const **a, BigNum const **b, size_t m, EcPoint *r)
 Multi-exponentiates elements in elliptic curve group. More...
 
EpidStatus EcSscmMultiExp (EcGroup *g, EcPoint const **a, BigNumStr const **b, size_t m, EcPoint *r)
 Software side-channel mitigated implementation of EcMultiExp. More...
 
EpidStatus EcGetRandom (EcGroup *g, BitSupplier rnd_func, void *rnd_func_param, EcPoint *r)
 Generates a random element from an elliptic curve group. More...
 
EpidStatus EcInGroup (EcGroup *g, ConstOctStr p_str, size_t strlen, bool *in_group)
 Checks if a point is in an elliptic curve group. More...
 
EpidStatus Epid11EcHash (EcGroup *g, ConstOctStr msg, size_t msg_len, EcPoint *r)
 Hashes an arbitrary message to an Intel(R) EPID 1.1 element in an elliptic curve group. More...
 
EpidStatus EcHash (EcGroup *g, ConstOctStr msg, size_t msg_len, HashAlg hash_alg, EcPoint *r, uint32_t *iterations)
 Hashes an arbitrary message to an element in an elliptic curve group. More...
 
EpidStatus EcMakePoint (EcGroup *g, FfElement const *x, EcPoint *r)
 Sets an EcPoint variable to a point on a curve. More...
 
EpidStatus EcInverse (EcGroup *g, EcPoint const *p, EcPoint *r)
 Computes the additive inverse of an EcPoint. More...
 
EpidStatus EcIsEqual (EcGroup *g, EcPoint const *a, EcPoint const *b, bool *is_equal)
 Checks if two EcPoints are equal. More...
 
EpidStatus EcIsIdentity (EcGroup *g, EcPoint const *p, bool *is_identity)
 Checks if an EcPoint is the identity element. More...
 

Detailed Description

Elliptic curve group interface.