Construction of new extremal self-dual codes

T. Aaron Gulliver; Masaaki Harada; Jon Lark Kim

doi:10.1016/S0012-365X(02)00570-8

Construction of new extremal self-dual codes

T. Aaron Gulliver, Masaaki Harada, Jon Lark Kim

INF - System Information Sciences

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

16 Citations (Scopus)

Abstract

In this paper, new binary extremal self-dual codes are presented. A number of new extremal singly-even self-dual codes of lengths 48,64 and 78, and extremal doubly-even self-dual codes of lengths 80 and 88, are constructed. We also relate an extremal doubly-even self-dual code of length divisible by 24 to an extremal singly-even self-dual code of that length. New singly-even self-dual codes of lengths 102 to 110 are also given.

Original language	English
Pages (from-to)	81-91
Number of pages	11
Journal	Discrete Mathematics
Volume	263
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(02)00570-8
Publication status	Published - 2003 Feb 28

Keywords

Binary self-dual codes
Extremal codes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/S0012-365X(02)00570-8

Fingerprint Dive into the research topics of 'Construction of new extremal self-dual codes'. Together they form a unique fingerprint.

Cite this

@article{d2c1a2bbe56f44988768cca64b3c568f,

title = "Construction of new extremal self-dual codes",

abstract = "In this paper, new binary extremal self-dual codes are presented. A number of new extremal singly-even self-dual codes of lengths 48,64 and 78, and extremal doubly-even self-dual codes of lengths 80 and 88, are constructed. We also relate an extremal doubly-even self-dual code of length divisible by 24 to an extremal singly-even self-dual code of that length. New singly-even self-dual codes of lengths 102 to 110 are also given.",

keywords = "Binary self-dual codes, Extremal codes",

author = "Gulliver, {T. Aaron} and Masaaki Harada and Kim, {Jon Lark}",

year = "2003",

month = feb,

day = "28",

doi = "10.1016/S0012-365X(02)00570-8",

language = "English",

volume = "263",

pages = "81--91",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "1-3",

}

TY - JOUR

T1 - Construction of new extremal self-dual codes

AU - Gulliver, T. Aaron

AU - Harada, Masaaki

AU - Kim, Jon Lark

PY - 2003/2/28

Y1 - 2003/2/28

N2 - In this paper, new binary extremal self-dual codes are presented. A number of new extremal singly-even self-dual codes of lengths 48,64 and 78, and extremal doubly-even self-dual codes of lengths 80 and 88, are constructed. We also relate an extremal doubly-even self-dual code of length divisible by 24 to an extremal singly-even self-dual code of that length. New singly-even self-dual codes of lengths 102 to 110 are also given.

AB - In this paper, new binary extremal self-dual codes are presented. A number of new extremal singly-even self-dual codes of lengths 48,64 and 78, and extremal doubly-even self-dual codes of lengths 80 and 88, are constructed. We also relate an extremal doubly-even self-dual code of length divisible by 24 to an extremal singly-even self-dual code of that length. New singly-even self-dual codes of lengths 102 to 110 are also given.

KW - Binary self-dual codes

KW - Extremal codes

UR - http://www.scopus.com/inward/record.url?scp=84867940167&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867940167&partnerID=8YFLogxK

U2 - 10.1016/S0012-365X(02)00570-8

DO - 10.1016/S0012-365X(02)00570-8

M3 - Article

AN - SCOPUS:84867940167

VL - 263

SP - 81

EP - 91

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 1-3

ER -