Solving quadratic equations over polynomial rings of characteristic two
type: Item
instance of: scholarly article
title: Solving quadratic equations over polynomial rings of characteristic two
zbMATH Open document ID: 0915.13017
DOI: 10.5565/PUBLMAT_42198_06
author: Jørgen Cherly
author: Ethel Wheland
author: Luis Gallardo
author: L. N. Vaserstein
published in: Publicacions Matemàtiques
publication date: 1999-05-26T00:00:00Z
full work available at URL: https://eudml.org/doc/41332
review text: The authors are concerned with the problem of solving a polynomial equation with coefficients in a ring of polynomials over a commutative domain \(B\). First it is shown that this problem can be reduced to the solution of a finite system of polynomial equations in one variable over \(B\) and bounds are given for the degrees and number of these equations. The quadratic case is considered more closely and an algorithm is presented for solving a quadratic equation in one variable over the ring of polynomials in several variables over a finite field of characteristic two.
Mathematics Subject Classification ID: 13P05
Mathematics Subject Classification ID: 12E12
Mathematics Subject Classification ID: 13B25
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 11T06
zbMATH DE Number: 1247846
zbMATH Keywords: quadratic equation
zbMATH Keywords: finite fields
zbMATH Keywords: rings of characteristic two
zbMATH Keywords: polynomial equation
reviewed by: Władysław Narkiewicz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1247846