A class of cyclic codes constructed via semiprimitive two-weight irreducible cyclic codes

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Jesús E. Cuén-Ramos¹  Gerardo Vega² 

[1] Universidad NacionalAutónoma de México;Universidad Nacional Autónoma de México

关键词: Weight distribution;    Reducible cyclic codes;    Semiprimitive cyclic codes;    Cyclotomic numbers;   

DOI  :  10.13069/jacodesmath.327385

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

We present a family of reducible cyclic codes constructed as a direct sum (as vector spaces) of two different semiprimitive two-weight irreducible cyclic codes. This family generalizes the class of reducible cyclic codes that was reported in the main result of [10]. Moreover, despite of what was stated therein, we show that, at least for the codes studied here, it is still possible to compute the frequencies of their weight distributions through the cyclotomic numbers in an easy way.

【 授权许可】

CC BY