A note on self-dual negacyclic codes of length ps over Fpk + uFpk

被引：0

作者：

Choosuwan, Parinyawat ^{[1
]}

Jitman, Somphong ^{[2
]}

Udomkavanich, Patanee ^{[3
]}

机构：

[1] Rajamangala Univ Technol Thanyaburi RMUTT, Fac Sci & Technol, Dept Math & Comp Sci, Khlong Luang 12110, Pathum Thani, Thailand

[2] Silpakorn Univ, Fac Sci, Dept Math, Mueang 73000, Nakhon Pathom, Thailand

[3] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok 10330, Thailand

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2020年 / 6卷 / 04期

关键词：

Negacyclic codes; Self-dual codes; Codes over rings; Euclidean inner product; Hermitian inner product; CYCLIC CODES; GR(P(2); 2P(S); M);

D O I：

10.1007/s40879-019-00378-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Self-dual cyclic codes over rings and their generalizations have become of interest due to their rich algebraic structures and wide applications. Cyclic and self-dual cyclic codes over the ring have been quite well studied, where p is a prime, k is a positive integer, and u2=0. We focus on negacyclic codes over , where p is an odd prime and k is a positive integer. An alternative and explicit algebraic characterization of negacyclic codes of length ps over is presented. Based on this result, representation and enumeration of self-dual negacyclic codes of length ps over are given under both the Euclidean and Hermitian inner products.

引用

页码：1424 / 1437

页数：14

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