On constacyclic codes over finite fields

被引：2

作者：

Sharma, Anuradha ^{[1
]}

Rani, Saroj ^{[1
]}

机构：

[1] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India

来源：

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2016年 / 8卷 / 04期

关键词：

Cyclic codes; Negacyclic codes; Cyclotomic cosets; NEGACYCLIC CODES; LENGTH;

D O I：

10.1007/s12095-015-0163-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Constacyclic codes are generalizations of cyclic codes, which form a well-known family of linear codes containing many optimal codes. In this paper, we determine all constacyclic codes of length l(p)(w) over the finite field F-q with q elements, where q is a power of the prime p, l is a positive integer coprime to q and w >= 0 is an integer. We also illustrate our results with some examples.

引用

页码：617 / 636

页数：20

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