A complete classifcation of doubly even self-dual codes of length 40

Koichi Betsumiya; Masaaki Harada; Akihiro Munemasa

A complete classifcation of doubly even self-dual codes of length 40

Koichi Betsumiya, Masaaki Harada, Akihiro Munemasa

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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

Original language	English
Journal	Electronic Journal of Combinatorics
Volume	19
Issue number	3
Publication status	Published - 2012 Aug 9

Keywords

Mass formula
Self-dual code
Weight enumerator

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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title = "A complete classifcation of doubly even self-dual codes of length 40",

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

keywords = "Mass formula, Self-dual code, Weight enumerator",

author = "Koichi Betsumiya and Masaaki Harada and Akihiro Munemasa",

year = "2012",

month = aug,

day = "9",

language = "English",

volume = "19",

journal = "Electronic Journal of Combinatorics",

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AU - Betsumiya, Koichi

AU - Harada, Masaaki

AU - Munemasa, Akihiro

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Y1 - 2012/8/9

N2 - A complete classification of binary doubly even self-dual codes of length 40 is given. As a consequence, a classifcation of binary extremal self-dual codes of length 38 is also given.

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

KW - Mass formula

KW - Self-dual code

KW - Weight enumerator

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JF - Electronic Journal of Combinatorics

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