Extremal Type II Z4-codes constructed from binary doubly even self-dual codes of length 40

Masaaki Harada

doi:10.1016/j.disc.2017.06.009

Extremal Type II Z₄-codes constructed from binary doubly even self-dual codes of length 40

Masaaki Harada

INF - System Information Sciences

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

2 Citations (Scopus)

Abstract

In this note, we demonstrate that every binary doubly even self-dual code of length 40 can be realized as the residue code of some extremal Type II Z₄-code. As a consequence, it is shown that there are at least 94356 inequivalent extremal Type II Z₄-codes of length 40.

Original language	English
Pages (from-to)	2466-2468
Number of pages	3
Journal	Discrete Mathematics
Volume	340
Issue number	10
DOIs	https://doi.org/10.1016/j.disc.2017.06.009
Publication status	Published - 2017 Oct

Keywords

Doubly even self-dual code
Extremality
Self-dual code
Z-code

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.disc.2017.06.009

Cite this

@article{43ad6c93ca24469d968e074ad7dda4eb,

title = "Extremal Type II Z4-codes constructed from binary doubly even self-dual codes of length 40",

abstract = "In this note, we demonstrate that every binary doubly even self-dual code of length 40 can be realized as the residue code of some extremal Type II Z4-code. As a consequence, it is shown that there are at least 94356 inequivalent extremal Type II Z4-codes of length 40.",

keywords = "Doubly even self-dual code, Extremality, Self-dual code, Z-code",

author = "Masaaki Harada",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2017",

month = oct,

doi = "10.1016/j.disc.2017.06.009",

language = "English",

volume = "340",

pages = "2466--2468",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "10",

}

TY - JOUR

T1 - Extremal Type II Z4-codes constructed from binary doubly even self-dual codes of length 40

AU - Harada, Masaaki

PY - 2017/10

Y1 - 2017/10

N2 - In this note, we demonstrate that every binary doubly even self-dual code of length 40 can be realized as the residue code of some extremal Type II Z4-code. As a consequence, it is shown that there are at least 94356 inequivalent extremal Type II Z4-codes of length 40.

AB - In this note, we demonstrate that every binary doubly even self-dual code of length 40 can be realized as the residue code of some extremal Type II Z4-code. As a consequence, it is shown that there are at least 94356 inequivalent extremal Type II Z4-codes of length 40.

KW - Doubly even self-dual code

KW - Extremality

KW - Self-dual code

KW - Z-code

UR - http://www.scopus.com/inward/record.url?scp=85021379713&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021379713&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2017.06.009

DO - 10.1016/j.disc.2017.06.009

M3 - Article

AN - SCOPUS:85021379713

SN - 0012-365X

VL - 340

SP - 2466

EP - 2468

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 10

ER -