New doubly even self-dual codes having minimum weight 20

Masaaki Harada

doi:10.3934/amc.2020007

New doubly even self-dual codes having minimum weight 20

Masaaki Harada

INF - System Information Sciences

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

Abstract

In this note, we construct new doubly even self-dual codes having minimum weight 20 for lengths 112, 120 and 128. This implies that there are at least three inequivalent extremal doubly even self-dual codes of length 112.

Original language	English
Pages (from-to)	89-96
Number of pages	8
Journal	Advances in Mathematics of Communications
Volume	14
Issue number	1
DOIs	https://doi.org/10.3934/amc.2020007
Publication status	Published - 2020 Feb

Keywords

Doubly even code
Four-circulant code
Minimum weight
Neighbor
Self-dual code

ASJC Scopus subject areas

Algebra and Number Theory
Computer Networks and Communications
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/amc.2020007

Cite this

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title = "New doubly even self-dual codes having minimum weight 20",

abstract = "In this note, we construct new doubly even self-dual codes having minimum weight 20 for lengths 112, 120 and 128. This implies that there are at least three inequivalent extremal doubly even self-dual codes of length 112.",

keywords = "Doubly even code, Four-circulant code, Minimum weight, Neighbor, Self-dual code",

author = "Masaaki Harada",

note = "Funding Information: 2010 Mathematics Subject Classification: Primary: 94B05; Secondary: 94B25. Key words and phrases: Self-dual code, doubly even code, four-circulant code, minimum weight, neighbor. This work was supported by JSPS KAKENHI Grant Number 15H03633.",

year = "2020",

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language = "English",

volume = "14",

pages = "89--96",

journal = "Advances in Mathematics of Communications",

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AU - Harada, Masaaki

N1 - Funding Information: 2010 Mathematics Subject Classification: Primary: 94B05; Secondary: 94B25. Key words and phrases: Self-dual code, doubly even code, four-circulant code, minimum weight, neighbor. This work was supported by JSPS KAKENHI Grant Number 15H03633.

PY - 2020/2

Y1 - 2020/2

N2 - In this note, we construct new doubly even self-dual codes having minimum weight 20 for lengths 112, 120 and 128. This implies that there are at least three inequivalent extremal doubly even self-dual codes of length 112.

AB - In this note, we construct new doubly even self-dual codes having minimum weight 20 for lengths 112, 120 and 128. This implies that there are at least three inequivalent extremal doubly even self-dual codes of length 112.

KW - Doubly even code

KW - Four-circulant code

KW - Minimum weight

KW - Neighbor

KW - Self-dual code

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New doubly even self-dual codes having minimum weight 20

Abstract

Keywords

ASJC Scopus subject areas

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