Some self-dual codes invariant under the Hall-Janko group

Naoki Chigira; Masaaki Harada; Masaaki Kitazume

doi:10.1016/j.jalgebra.2007.05.015

Some self-dual codes invariant under the Hall-Janko group

Naoki Chigira, Masaaki Harada, Masaaki Kitazume

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

1 Citation (Scopus)

Abstract

We construct self-dual codes of length 100 invariant under the Hall-Janko group J₂. We also construct a 2-(100, 22, 168) design with the automorphism group J₂ : 2, which is the extension of J₂ by its outer automorphism.

Original language	English
Pages (from-to)	578-590
Number of pages	13
Journal	Journal of Algebra
Volume	316
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2007.05.015
Publication status	Published - 2007 Oct 15
Externally published	Yes

Keywords

2-Design
Automorphism group
Hall-Janko group
Rank 3 graph
Self-dual code

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2007.05.015

Cite this

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title = "Some self-dual codes invariant under the Hall-Janko group",

abstract = "We construct self-dual codes of length 100 invariant under the Hall-Janko group J2. We also construct a 2-(100, 22, 168) design with the automorphism group J2 : 2, which is the extension of J2 by its outer automorphism.",

keywords = "2-Design, Automorphism group, Hall-Janko group, Rank 3 graph, Self-dual code",

author = "Naoki Chigira and Masaaki Harada and Masaaki Kitazume",

year = "2007",

month = oct,

day = "15",

doi = "10.1016/j.jalgebra.2007.05.015",

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T1 - Some self-dual codes invariant under the Hall-Janko group

AU - Chigira, Naoki

AU - Harada, Masaaki

AU - Kitazume, Masaaki

PY - 2007/10/15

Y1 - 2007/10/15

N2 - We construct self-dual codes of length 100 invariant under the Hall-Janko group J2. We also construct a 2-(100, 22, 168) design with the automorphism group J2 : 2, which is the extension of J2 by its outer automorphism.

AB - We construct self-dual codes of length 100 invariant under the Hall-Janko group J2. We also construct a 2-(100, 22, 168) design with the automorphism group J2 : 2, which is the extension of J2 by its outer automorphism.

KW - 2-Design

KW - Automorphism group

KW - Hall-Janko group

KW - Rank 3 graph

KW - Self-dual code

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DO - 10.1016/j.jalgebra.2007.05.015

M3 - Article

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JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 2

ER -

Some self-dual codes invariant under the Hall-Janko group

Abstract

Keywords

ASJC Scopus subject areas

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