This project implements polynomial arithmetic in Galois Fields (GF(2^m)) with a focus on mathematical rigor, computational accuracy, and user-centered design. It provides a robust backend and an ...
This project implements polynomial arithmetic in Galois Fields (GF(2^m)) with a focus on mathematical rigor, computational accuracy, and user-centered design. It provides a robust backend and an ...
Operations Research, Vol. 21, No. 1, Mathematical Programming and Its Applications (Jan. - Feb., 1973), pp. 156-161 (6 pages) This paper gives rules that enable the transformation of a 0-1 polynomial ...
Abstract: We develop an innovative approach to factoring semiprimes, numbers that are the product of two large primes. These composite numbers form the foundation of the widely used RSA encryption ...
Abstract: Modern trends in simulation of large microelectronics systems has introduced the necessity for development of fast and robust nonlinear model order algorithms. This paper discusses ...
Formal verification of arithmetic circuits is a rigorous approach that employs mathematical techniques to ascertain the correctness of hardware designs implementing arithmetic operations. This ...
We give a general reduction of lengths-of-proofs lower bounds for constant depth Frege systems in DeMorgan language augmented by a connective counting modulo a prime p (the so-called AC0[p] Frege ...