New classes of few-weight ternary codes from simplicial complexes

AIMS Mathematics

Yang Pan¹  Yan Liu² 

[1] 1. College of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, China 2. Wuxi Institute of Technology, Wuxi 214121, China;1. College of Artificial Intelligence and Big Data, Hefei University, Hefei 230601, China;

关键词: simplicial complexes;    ternary codes;    minimal linear codes;    optimal linear codes;   

DOI  :  10.3934/math.2022239

来源: DOAJ

【 摘 要 】

In this article, we describe two classes of few-weight ternary codes, compute their minimum weight and weight distribution from mathematical objects called simplicial complexes. One class of codes described here has the same parameters with the binary first-order Reed-Muller codes. A class of (optimal) minimal linear codes is also obtained in this correspondence.

【 授权许可】

Unknown