We propose a simple and efficient deterministic extractor for an ordinary elliptic curve E, defined over F2n , where n = 2 and is a positive integer. Our extractor, for a given poi...
We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over Fq2 , where q is some power of an odd prime. Our extractor, for a given poi...
Abstract. This paper presents a new shape for ordinary elliptic curves over fields of characteristic 2. Using the new shape, this paper presents the first complete addition formula...
Daniel J. Bernstein, Tanja Lange, Reza Rezaeian Fa...
In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We pres...
In this paper, cyclic elliptic curves of the form y2 + xy = x3 + ax2 + b, a, b ∈ GF(2m ) with order M is considered in the design of a Symmetric Key Image Encryption Scheme with...
S. V. Sathyanarayana, M. Aswatha Kumar, K. N. Hari...