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 ...

We implement in an IBM quantum computer a quantum algorithm for multivariate polynomial factoring and propose a noise-avoiding protocol to distill the experimental results in the presence of noise.

An iterative technique is displayed whereby factors of arbitrary degree can be found for polynomials in one variable. Convergence is shown to occur always if a certain Jacobian does not vanish and if ...

Abstract: In this report a new algorithm is presented for the plus/minus factorization of a scalar discrete-time polynomial. The method is based on the discrete Fourier transform theory (DFT) and its ...

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 ...

A C implementation of Niederreiter's algorithm for factoring polynomials over F 2 is described. The most time-consuming part of this algorithm, which consists of setting up and solving a certain ...

Abstract: In this paper, algorithms are developed for the problems of spectral factorization and sum of squares of polynomial matrices with n indeterminates. These algorithms are based on the calculus ...

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 ...

Transactions of the American Mathematical Society, Vol. 216 (Feb., 1976), pp. 237-248 (12 pages) Conical polynomials are defined as certain polynomials in quadratic elements of the universal ...

A Python package that provides a user-friendly and flexible way to work with polynomials. The package is designed for both beginners looking to explore polynomial mathematics and advanced users ...