THE WEIGHT DISTRIBUTION OF IRREDUCIBLE CYCLIC CODES ASSOCIATED WITH DECOMPOSABLE GENERALIZED PALEY GRAPHS

被引：3

作者：

Podesta, Ricardo A. ^{[1
]}

Videla, Denis E. ^{[1
]}

机构：

[1] Univ Nacl Cordoba, FaMAF CIEM CONICET, Av Medina Allende 2144,Ciudad Univ, RA-5000 Cordoba, Argentina

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2021年

关键词：

Irreducible cyclic codes; generalized Paley graphs; weight distribution; spectra; Cartesian decomposable;

D O I：

10.3934/amc.2021002

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We use known characterizations of generalized Paley graphs which are Cartesian decomposable to explicitly compute the spectra of the corresponding associated irreducible cyclic codes. As applications, we give reduction formulas for the number of rational points in Artin-Schreier curves defined over extension fields and to the computation of Gaussian periods.

引用

页码：446 / 464

页数：19

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