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1. (WO2018145191) SYSTEM AND METHOD FOR OPTIMIZED ELLIPTIC CURVE CRYPTOGRAPHY OPERATIONS

Pub. No.:    WO/2018/145191    International Application No.:    PCT/CA2017/050174
Publication Date: Fri Aug 17 01:59:59 CEST 2018 International Filing Date: Tue Feb 14 00:59:59 CET 2017
IPC: H04L 9/28
Applicants: INFOSEC GLOBAL INC.
Inventors: SOUKHAREV, Vladimir
HESS, Basil
Title: SYSTEM AND METHOD FOR OPTIMIZED ELLIPTIC CURVE CRYPTOGRAPHY OPERATIONS
Abstract:
A method and protocol for determining linear combinations of a first and second point for an elliptic curve cryptography scheme, including determining a first scalar multiplication of the first point with a first scalar, the first scalar multiplication including performing iteratively in relation to the value of the first scalar either one of: doubling of the first point in Jacobian projective coordinates; or mixed addition with the first point in affine coordinates; determining a combination point by adding the second point to the resultant of the first scalar multiplication; obtaining an affine coordinate representation of the combination point; determining a second scalar multiplication of the combination point with a second scalar, the second scalar multiplication including performing iteratively in relation to the value of the second scalar either one of: doubling of the combination point in Jacobian projective coordinates; or mixed addition with the combination point in affine coordinates.