weierstrass_curve Struct Reference

A Weierstrass elliptic curve. More...

#include <weierstrass.h>

Data Fields
const unsigned int	size
	Number of elements in scalar values.
const char *	name
	Curve name.
size_t	len
	Length of raw scalar values.
const uint8_t *	prime_raw
	Field prime.
const uint8_t *	a_raw
	Constant "a".
const uint8_t *	b_raw
	Constant "b".
const uint8_t *	base
	Base point.
bigint_element_t *	prime [WEIERSTRASS_NUM_CACHED]
	Cached field prime "N" (and multiples thereof)
bigint_element_t *	fermat
	Cached constant "N-2" (for Fermat's little theorem)
bigint_element_t *	square
	Cached Montgomery constant (R^2 mod N)
union {
struct {
bigint_element_t *   one
	Cached constant "1", in Montgomery form. More...
bigint_element_t *   a
	Cached constant "a", in Montgomery form. More...
bigint_element_t *   b3
	Cached constant "3b", in Montgomery form. More...
}
bigint_element_t *   mont [WEIERSTRASS_NUM_MONT]
};
	Cached constants in Montgomery form.

Detailed Description

A Weierstrass elliptic curve.

This is an elliptic curve y^2 = x^3 + ax + b

Definition at line 92 of file weierstrass.h.

Field Documentation

size

const unsigned int weierstrass_curve::size

Number of elements in scalar values.

Definition at line 94 of file weierstrass.h.

Referenced by weierstrass_add_ladder(), weierstrass_add_once(), weierstrass_add_raw(), weierstrass_done_raw(), weierstrass_init_curve(), weierstrass_init_raw(), weierstrass_is_infinity(), weierstrass_multiply(), and weierstrass_verify_raw().

name

const char* weierstrass_curve::name

Curve name.

Definition at line 96 of file weierstrass.h.

Referenced by weierstrass_add_raw(), weierstrass_done_raw(), weierstrass_exec(), weierstrass_init_curve(), weierstrass_init_raw(), weierstrass_is_infinity(), weierstrass_multiply(), and weierstrass_verify_raw().

len

size_t weierstrass_curve::len

Length of raw scalar values.

Definition at line 98 of file weierstrass.h.

Referenced by weierstrass_done_raw(), weierstrass_init_curve(), weierstrass_init_raw(), weierstrass_is_infinity(), and weierstrass_multiply().

prime_raw

const uint8_t* weierstrass_curve::prime_raw

Field prime.

Definition at line 100 of file weierstrass.h.

Referenced by weierstrass_init_curve().

a_raw

const uint8_t* weierstrass_curve::a_raw

Constant "a".

Definition at line 102 of file weierstrass.h.

Referenced by weierstrass_init_curve().

b_raw

const uint8_t* weierstrass_curve::b_raw

Constant "b".

Definition at line 104 of file weierstrass.h.

Referenced by weierstrass_init_curve().

base

const uint8_t* weierstrass_curve::base

Base point.

Definition at line 106 of file weierstrass.h.

prime

bigint_element_t* weierstrass_curve::prime[WEIERSTRASS_NUM_CACHED]

Cached field prime "N" (and multiples thereof)

Definition at line 109 of file weierstrass.h.

Referenced by weierstrass_add_raw(), weierstrass_done_raw(), weierstrass_exec(), weierstrass_init_curve(), weierstrass_init_raw(), and weierstrass_verify_raw().

fermat

bigint_element_t* weierstrass_curve::fermat

Cached constant "N-2" (for Fermat's little theorem)

Definition at line 111 of file weierstrass.h.

Referenced by weierstrass_done_raw(), and weierstrass_init_curve().

square

bigint_element_t* weierstrass_curve::square

Cached Montgomery constant (R^2 mod N)

Definition at line 113 of file weierstrass.h.

Referenced by weierstrass_init_curve(), and weierstrass_init_raw().

one

bigint_element_t* weierstrass_curve::one

Cached constant "1", in Montgomery form.

Definition at line 118 of file weierstrass.h.

Referenced by weierstrass_done_raw(), weierstrass_init_curve(), weierstrass_init_raw(), and weierstrass_multiply().

a

bigint_element_t* weierstrass_curve::a

Cached constant "a", in Montgomery form.

Definition at line 120 of file weierstrass.h.

Referenced by weierstrass_add_raw(), weierstrass_init_curve(), and weierstrass_verify_raw().

b3

bigint_element_t* weierstrass_curve::b3

Cached constant "3b", in Montgomery form.

Definition at line 122 of file weierstrass.h.

Referenced by weierstrass_add_raw(), weierstrass_init_curve(), and weierstrass_verify_raw().

mont

bigint_element_t* weierstrass_curve::mont[WEIERSTRASS_NUM_MONT]

Definition at line 124 of file weierstrass.h.

Referenced by weierstrass_init_curve().

[union]

union { ... } weierstrass_curve

Cached constants in Montgomery form.

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The documentation for this struct was generated from the following file:

• include/ipxe/weierstrass.h