It has been shown that an analytic symplectic map can be directly converted into a product of Lie transformations in the form of integrable polynomial factorization with the desired accuracy. A map in ...
We present a randomized quantum algorithm for polynomial factorization over finite fields. For polynomials of degree n over a finite field F_q, the average-case complexity of our algorithm is an ...
Berlekamp's Algorithm - A deterministic algorithm for polynomial factorization over finite fields Cantor-Zassenhaus Algorithm - A randomized algorithm that combines distinct degree factorization with ...
Methods of polynomial factorization which find the zeros one at a time require the division of the polynomial by the accepted factor. It is shown how the accuracy of this division may be increased by ...
Abstract: One class of efficient algorithms for computing a discrete Fourier transform (DFT) is based on a recursive polynomial factorization of the polynomial 1-z/sup -N/. The Bruun algorithm is a ...
Abstract: Bivariate polynomial factorization is an important stage of algebraic soft-decision decoding of Reed-Solomon (RS) codes and contributes to a significant portion of the overall decoding ...
ABSTRACT: We review our models of quantum associative memories that represent the “quantization” of fully coupled neural networks like the Hopfield model. The idea is to replace the classical ...
This Rust program implements polynomial factorization using the Rational Root Theorem. It evaluates the possible rational roots of a polynomial and determines the actual roots. Computes the divisors ...
ABSTRACT: Substitution boxes or S-boxes play a significant role in encryption and de-cryption of bit level plaintext and cipher-text respectively. Irreducible Poly-nomials (IPs) have been used to ...
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