elliptic curve reference point P0; an encoder, configured to perform binary coding on an input elliptic curve coefficient; a divider, configured to divide the elliptic curve coefficient binary code into N segments according to a preset bit width W; and a scalar point multiplication calculator, ...
This is how EC point multiplication is defined. A point G over an elliptic curve over finite field (EC point) can be multiplied by an integer k and the result is another EC point P on the same curve and this operation is fast: P = k * G The above operation involves some formulas ...
Elliptic curve exponentiationZPARPADPASPAIn the execution on a smart card, side channel attacks such as simple power analysis (SPA) and the differential ... H Mamiya,A Miyaji,H Morimoto - Springer Berlin Heidelberg 被引量: 216发表: 2004年 Efficient elliptic curve double-and-add calculator An ...
This project aims to provide a simple C API for various types of optimized elliptic curve point multiplication:Fixed-base (Public key generation, Signature generation) mul_gen Variable-base (Diffie-Hellman key agreement) mul Variable double-base Simultaneous (EC-DH-FS key agreement) simulEach...
) on the elliptic curve Ec(a, b): y2≡x3+ab+b(mod p) is made into the ordinary sentence at the original point (xp, yp) if this cipher sentence is further subjected to dp multiplication, where p is the least common multiple calculated by a first least common multiple calculator ...
Efficient and low-complexity hardware architecture of Gaussian normal basis multiplication over GF(2 m ) for elliptic curve cryptosystems In this paper, an efficient high-speed architecture of Gaussian normal basis (GNB) multiplierover binary finite field GF(2m) is presented. The structure is... ...
PURPOSE: To decrease the number of times of addition, subtraction multiplication and division and to shorten the time for forming keys by determining integers (u), (v) satisfying p=u2-uv+v2 required for formation of the keys without making computation of complex integers. ;CONSTITUTION: A ...