Module b283k

Expand description

Koblitz sect283k1 Elliptic Curve Primitives

This module implements the sect283k1 binary elliptic curve operations. The curve equation is y² + xy = x³ + 1 over the binary field GF(2^283).

Field polynomial: x^283 + x^12 + x^7 + x^5 + 1
The curve order n = 0x01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE96E404282DD3232283E52623152F256011

Operations are designed to be constant-time.

Structs§

FieldElement: A field element in GF(2^283) represented by 5 u64 limbs (320 bits).
Point: A point on the sect283k1 elliptic curve
Scalar: sect283k1 scalar value for use in elliptic curve operations

B283K_FIELD_ELEMENT_SIZE: Size of a sect283k1 field element in bytes (283 bits -> 36 bytes)
B283K_KEM_SHARED_SECRET_KDF_OUTPUT_SIZE: Size of the KDF output for sect283k1 ECDH-KEM (matches SHA-384 output)
B283K_POINT_COMPRESSED_SIZE: Size of a compressed sect283k1 point in bytes: format byte (0x02/0x03) + x-coordinate
B283K_POINT_UNCOMPRESSED_SIZE: Size of an uncompressed sect283k1 point in bytes: format byte (0x04) + x-coordinate + y-coordinate
B283K_SCALAR_SIZE: Size of a sect283k1 scalar in bytes (283 bits -> 36 bytes)

base_point_g: Get the standard base point G of the sect283k1 curve
generate_keypair: Generate a cryptographically secure ECDH keypair
kdf_hkdf_sha384_for_ecdh_kem: Key derivation function for ECDH shared secret using HKDF-SHA384
scalar_mult: General scalar multiplication: compute scalar * point
scalar_mult_base_g: Scalar multiplication with the base point: scalar * G