This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be c...
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
Let Fq be a finite field and consider the polynomial ring Fq[X]. Let Q Fq[X]. A function f : Fq[X] G, where G is a group, is called strongly Q-additive, if f(AQ + B) = f(A) + f(B...
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...