A Modified Bordered Construction for Self-dual Codes From Group Rings

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Joe Gildea¹  Abidin Kaya²  Alexander Tylyshchak³  Bahattin Yildiz⁴ 

[1] University of Chester;Sampoerna University;Uzhgorod State University;Northern Arizona University

关键词: Group rings;    Self-dual codes;    Codes over rings;    Bordered constructions;   

DOI  :  10.13069/jacodesmath.729402

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

We describe a bordered construction for self-dual codes coming from group rings. We apply the constructions coming from the cyclic and dihedral groups over several alphabets to obtain extremal binary self-dual codes of various lengths. In particular we find a new extremal binary self-dual code of length 78.

【 授权许可】

CC BY