On Isodual Cyclic Codes over Finite Chain Rings

被引：2

作者：

Batoul, Aicha ^{[1
]}

Guenda, Kenza ^{[1
]}

Gulliver, T. Aaron ^{[2
]}

Aydin, Nuh ^{[3
]}

机构：

[1] Univ Sci & Technol, Fac Math, Algiers 16111, Algeria

[2] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC V8W 2Y2, Canada

[3] Kenyon Coll, Dept Math & Stat, Gambier, OH 43022 USA

来源：

CODES, CRYPTOLOGY AND INFORMATION SECURITY, C2SI 2017 | 2017年 / 10194卷

关键词：

Isodual codes; Self-dual codes; Cyclic codes; Finite chain rings; Codes over rings; SELF-DUAL CODES;

D O I：

10.1007/978-3-319-55589-8_12

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work, cyclic isodual codes over finite chain rings are investigated. These codes are monomially equivalent to their duals. Existence results for cyclic isodual codes are given based on the generator polynomials, the field characteristic, and the length. Several constructions of isodual and self-dual codes are also presented.

引用

页码：176 / 194

页数：19

共 16 条

[1] Isodual codes over Z2k and isodual lattices [J].