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Factorization of polynomials over finite fields

In mathematics and computer algebra the factorization of a polynomial consists of decomposing it into a product of irreducible factors. This decomposition is theoretically possible and is unique for polynomials with coefficients in any field, but rather strong restrictions on the field of the coefficients are needed to allow the computation of the…

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Overview

Background

Factoring algorithms

Time complexity

Rabin's test of irreducibility

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Factorization of polynomials over finite fields

Nodes67
Edges66
Triples5
Avg. degree1.97
Density0.029851
Components1

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Important terminology

algorithm finite polynomial polynomials field factorization irreducible fq degree fields algorithms displaystyle one complexity product using operations factors coefficients time

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
productsinstance ofComplexityPolynomial factoring algorithms use basic polynomial operations0.80text
divisionsinstance ofComplexityPolynomial factoring algorithms use basic polynomial operations0.80text
gcdinstance ofComplexityPolynomial factoring algorithms use basic polynomial operations0.80text
powers of one polynomial modulo anotherinstance ofComplexityPolynomial factoring algorithms use basic polynomial operations0.80text
etcinstance ofComplexityPolynomial factoring algorithms use basic polynomial operations0.80text

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