On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields

被引：11

作者：

Ahmadi, Omran ^{[2
]}

Vega, Gerardo ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Direcc Gen Serv Computo Acad, Mexico City 04510, DF, Mexico

[2] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2008年 / 14卷 / 01期

关键词：

finite fields; irreducible polynomials; self-reciprocal polynomials;

D O I：

10.1016/j.ffa.2006.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the Stickelberger-Swan theorem, the parity of the number of irreducible factors of a self-reciprocal even-degree polynomial over a finite field will be hereby characterized. It will be shown that in the case of binary fields such a characterization can be presented in terms of the exponents of the monomials of the self-reciprocal polynomial. (c) 2006 Elsevier Inc. All fights reserved.

引用

页码：124 / 131

页数：8

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