In hardware implementation for the finite field, the use of normal basis has several advantages, especially the optimal normal basis is the most efficient to hardware implementati...
Chang Han Kim, Yongtae Kim, Sung Yeon Ji, IlWhan P...
We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute t...
A high performance architecture of elliptic curve scalar multiplication over finite field GF(2m ) is proposed. A pseudo-pipelined word serial finite field multiplier with word siz...
Binary finite fields GF(2n ) are very commonly used in cryptography, particularly in publickey algorithms such as Elliptic Curve Cryptography (ECC). On word-oriented programmable ...
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...