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
收藏
页码：617 / 636
页数：20
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