Some new ternary linear codes

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Rumen Daskalov¹  Plamen Hristov¹ 

[1] Department of Mathematics, Technical Universityof Gabrovo

关键词: Ternary linear codes;    Construction X;   

DOI  :  10.13069/jacodesmath.327360

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

Let an [n, k, d]q code be a linear code of length n, dimension k and minimum Hamming distanced over GF(q). One of the most important problems in coding theory is to construct codes withoptimal minimum distances. In this paper 22 new ternary linear codes are presented. Two of themare optimal. All new codes improve the respective lower bounds in [11].

【 授权许可】

CC BY