A Complete Classification of Doubly Even Self-dual Codes of Length 40

Koichi Betsumiya, Masaaki Harada, Akihiro Munemasa

Abstract


A complete classification of binary doubly even self-dual codes of length $40$ is given. As a consequence, a classification of binary extremal self-dual codes of length $38$ is also given.

Keywords


self-dual code; weight enumerator; mass formula

Full Text: PDF