New extremal singly even self-dual codes of lengths 64 and 66

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Damyan Anev¹  Masaaki Harada¹  Nikolay Yankov² 

[1] Faculty of Mathematics and Informatics, Konstantin Preslavski University ofShumen;Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University

关键词: Self-dual code;    Weight enumerator;   

DOI  :  10.13069/jacodesmath.458601

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

For lengths 64 and 66, we construct six and seven extremal singly even self-dual codes with weightenumerators for which no extremal singly even self-dual codes were previously known to exist, respectively. We also construct new 40 inequivalent extremal doubly even self-dual [64, 32, 12] codeswith covering radius 12 meeting the Delsarte bound. These new codes are constructed by consideringfour-circulant codes along with their neighbors and shadows.

【 授权许可】

CC BY