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Polynomials Over Finite Fields

In: Mathematics for Computer Algebra

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  • Maurice Mignotte

    (Université Louis Pasteur, Départment de Mathématique)

Abstract

The first step of modern algorithms of factorization of polynomials with integer coefficients consists in factorizing their image modulo some prime number. This is the reason why, in this chapter, we study the factorization of polynomials over finite fields. Most of the results of this theory were developed by E.R. Berlekamp.

Suggested Citation

  • Maurice Mignotte, 1992. "Polynomials Over Finite Fields," Springer Books, in: Mathematics for Computer Algebra, chapter 0, pages 229-288, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-9171-5_6
    DOI: 10.1007/978-1-4613-9171-5_6
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