1 This paper presents a methodology to develop more modular parallel applications, based on aspect oriented programming. Traditional object oriented mechanisms implement applicatio...
Abstract. In this paper we report on the recent progress in computing bivariate polynomial resultants on Graphics Processing Units (GPU). Given two polynomials in Z[x, y], our algo...
We present the algorithm to multiply univariate polynomials with integer coefficients efficiently using the Number Theoretic transform (NTT) on Graphics Processing Units (GPU). The...
In this paper we present a simple deterministic algorithm for testing whether a multivariate polynomial f(x1, . . . , xn) is identically zero, in time polynomial in m, n, log(d + ...
In studying how to communicate over a public channel with an active adversary, Dodis and Wichs introduced the notion of a non-malleable extractor. A non-malleable extractor dramat...