Weight Distributions of Some Constacyclic Codes Over a Finite Field and Isodual Constacyclic Codes

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Manjit Singh¹ 

[1] Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology

关键词: Constacyclic codes;    Weight distributions;    Isodual codes;    Formally self-dual codes;   

DOI  :  10.13069/jacodesmath.645018

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

In this paper, we investigate a class of constacyclic codes which contains isodual codes and formallyself-dual codes. Further, we introduce a recursive approach to obtain the explicit factorization ofx2m`n−µk ∈ Fq[x], where n, m are positive integers and µk is an element of order `kin Fq. Moreover,we give many examples of interesting isodual and formally self-dual constacyclic codes.

【 授权许可】

CC BY