On constacyclic codes over finite fields

被引：0
作者：
Anuradha Sharma
Saroj Rani
机构：
[1] Indian Institute of Technology Delhi,Department of Mathematics
来源：
Cryptography and Communications | 2016年 / 8卷
关键词：
Cyclic codes; Negacyclic codes; Cyclotomic cosets; 94B15;
D O I：
暂无
中图分类号：
学科分类号：
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 ℓpw over the finite field 𝔽q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {F}_{q}$\end{document} 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.
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页码：617 / 636
页数：19
相关论文
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