Umm Ai-qura University

Wesam Eid

A system, method and computer-readable medium provide secure communication between a first and a second computer system based on supersingular isogeny elliptic curve cryptography. The first computer system and the second computer system each determine kernels Kand Kincluding computing mP+nQ by accessing a lookup table stored in a memory that contains a range of doubles of an end point of the respective kernels, where P and Q are points on the public elliptic curve and m and n are integers. The first computer system and the second computer system compute secret isogenies by determining a respective kernel Kand Kusing mixed-base multiplicands with a single inversion, including computing the respective kernel Kand Kby converting the multiplicands to base 32, and computing scalar multiplications using the base 32 multiplicands.

Growing community of inventors

Mecca, Saudi Arabia

Wesam Eid