We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), Gao [Gao01] designed a polynomial time algorithm that fails to factor only if the input polynomial satisfies a strong symmetry property, namely square balance. In this paper, we propose an extension of Gao’s algorithm that fails only under an even stronger ...

Abstract In view of the needs mechanical over-load test evaluation second and third generation Initiators in combat environment, numerical simulation combined with experimental verification method is used to study influence material, outer diameter length pulse shaper on over-loading wave. The index parameters tooling different states are obtained. results show that as increases gradually, spee...