On cyclic algebraic-geometry codes

被引：0

作者：

Cabana, Gustavo ^{[1
,4
]}

Chara, Maria ^{[2
]}

Podesta, Ricardo ^{[3
]}

Toledano, Ricardo ^{[4
]}

机构：

[1] UNL, Dept Matemat, Fac Ciencias Econ, 2557, RA-3000 Moreno, Santa Fe, Argentina

[2] Univ Nacl Litoral, CONICET FIQ, 2829, RA-3000 Santiago del Estero, Santa Fe, Argentina

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

[4] UNL, Fac Ingn Quim, Dept Matemat, 2829, RA-3000 Santiago del Estero, Santa Fe, Argentina

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2022年 / 82卷

关键词：

Cyclic codes; AG-codes; Algebraic function fields; Asymptotic goodness; Towers;

D O I：

10.1016/j.ffa.2022.102064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we initiate the study of cyclic algebraic geometry codes. We give conditions to construct cyclic algebraic geometry codes in the context of algebraic function fields over a finite field by using their group of automorphisms. We prove that cyclic algebraic geometry codes constructed in this way are closely related to cyclic extensions. We also give a detailed study of the monomial equivalence of cyclic algebraic geometry codes constructed with our method in the case of a rational function field.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：31

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