The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
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...
Abstract. We present a new elliptic curve cryptosystem with fast encryption and key generation, which is provably secure in the standard model. The scheme uses arithmetic modulo n2...
We present an algorithm that by using the and -1 Frobenius operators concurrently allows us to obtain a parallelized version of the classical -and-add scalar multiplication algor...
Omran Ahmadi, Darrel Hankerson, Francisco Rodr&iac...
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...