Polyadic Constacyclic Codes

被引：21

作者：

Chen, Bocong ^{[1
]}

Dinh, Hai Q. ^{[2
]}

Fan, Yun ^{[3
]}

Ling, San ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Singapore 637616, Singapore

[2] Kent State Univ, Dept Math Sci, Warren, OH 44483 USA

[3] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2015年 / 61卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Polyadic constacyclic code; p-adic valuation; generalized Reed-Solomon code; alternant code; Berlekamp-Welch decoding algorithm; DUADIC CODES; EXISTENCE;

D O I：

10.1109/TIT.2015.2451656

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For any given positive integer m, a necessary and sufficient condition for the existence of Type-I m-adic constacyclic codes is given. Furthermore, for any given integer s, a necessary and sufficient condition for s to be a multiplier of a Type-I polyadic constacyclic code is given. As an application, some optimal codes from Type-I polyadic constacyclic codes, including generalized Reed-Solomon codes and alternant maximum distance separable codes, are constructed.

引用

页码：4895 / 4904

页数：10

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