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

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

17 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
Externally published	Yes

Keywords

Binary self-dual codes
Extremal codes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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

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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

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JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 1-3

ER -

Construction of new extremal self-dual codes

Abstract

Keywords

ASJC Scopus subject areas

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