Let p be a prime and let E(IFp) be an elliptic curve defined over the finite field IFp of p elements. For a given point G E(IFp) the linear congruential genarator on elliptic curv...
We continue our investigation on the relationship between regular languages and syntactic monoid size. In this paper we confirm the conjecture on two generator transformation semi...
We discuss the following problem: Given an integer shared secretly among n players and a prime number e, how can the players efficiently compute a sharing of e-1 mod . The most in...
Complex Multiplication (CM) method is a frequently used method for the generation of elliptic curves (ECs) over a prime field Fp. The most demanding and complex step of this metho...
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...