Weight distribution of a class of cyclic codes of length $2^n$

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Manjit Singh¹  Sudhir Batra¹ 

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

关键词: Linear codes;    Reversible codes;    Weight distributions;    Constant weight codes;   

DOI  :  10.13069/jacodesmath.505364

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

Let Fq be a finite field with q elements and n be a positive integer. In this paper, we determine theweight distribution of a class cyclic codes of length 2nover Fq whose parity check polynomials areeither binomials or trinomials with 2lzeros over Fq, where integer l ≥ 1. In addition, constant weightand two-weight linear codes are constructed when q ≡ 3 (mod 4).

【 授权许可】

CC BY