On period polynomials of degree 2m and weight distributions of certain irreducible cyclic codes

被引：0

作者：

Baoulina, Ioulia N. ^{[1
]}

机构：

[1] Moscow State Pedag Univ, Dept Math, Krasnoprudnaya Str 14, Moscow 107140, Russia

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2018年 / 50卷

关键词：

Cyclotomic period; f-nomial Gaussian period; Period polynomial; Reduced period polynomial; Factorization; Irreducible cyclic code; Weight distribution; DIAGONAL EQUATIONS; SUMS;

D O I：

10.1016/j.ffa.2017.12.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We explicitly determine the values of reduced cyclotomic periods of order 2(m), m >= 4, for finite fields of characteristic p equivalent to 3 or 5 (mod 8). These evaluations are applied. to obtain explicit factorizations of the corresponding reduced period polynomials. As another application, the weight distributions of certain irreducible cyclic codes are described. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：319 / 337

页数：19

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