Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72

T. Aaron Gulliver; Masaaki Harada

doi:10.1023/A:1008249924142

Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72

T. Aaron Gulliver, Masaaki Harada

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

25 Citations (Scopus)

Abstract

Recently extremal double circulant self-dual codes have been classified for lengths n ≤ 62. In this paper, a complete classification of extremal double circulant self-dual codes of lengths 64 to 72 is presented. Almost all of the extremal double circulant singly-even codes given have weight enumerators for which extremal codes were not previously known to exist.

Original language	English
Pages (from-to)	257-269
Number of pages	13
Journal	Designs, Codes, and Cryptography
Volume	13
Issue number	3
DOIs	https://doi.org/10.1023/A:1008249924142
Publication status	Published - 1998
Externally published	Yes

Keywords

Extremal codes
Self-dual codes and double circulant codes

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

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10.1023/A:1008249924142

Cite this

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title = "Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72",

abstract = "Recently extremal double circulant self-dual codes have been classified for lengths n ≤ 62. In this paper, a complete classification of extremal double circulant self-dual codes of lengths 64 to 72 is presented. Almost all of the extremal double circulant singly-even codes given have weight enumerators for which extremal codes were not previously known to exist.",

keywords = "Extremal codes, Self-dual codes and double circulant codes",

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

note = "Funding Information: * Formerly with the Department of Systems and Computer Engineering, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, Canada K1S 5B6. This work was supported in part by a grant from the Natural Sciences and Engineering Research Council of Canada. Funding Information: ** Formerly with the Department of Mathematics, Okayama University, Okayama 700, Japan. This work was supported in part by a grant from the Japan Society for the Promotion of Science.",

year = "1998",

doi = "10.1023/A:1008249924142",

language = "English",

volume = "13",

pages = "257--269",

journal = "Designs, Codes, and Cryptography",

issn = "0925-1022",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72

AU - Gulliver, T. Aaron

AU - Harada, Masaaki

N1 - Funding Information: * Formerly with the Department of Systems and Computer Engineering, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, Canada K1S 5B6. This work was supported in part by a grant from the Natural Sciences and Engineering Research Council of Canada. Funding Information: ** Formerly with the Department of Mathematics, Okayama University, Okayama 700, Japan. This work was supported in part by a grant from the Japan Society for the Promotion of Science.

PY - 1998

Y1 - 1998

N2 - Recently extremal double circulant self-dual codes have been classified for lengths n ≤ 62. In this paper, a complete classification of extremal double circulant self-dual codes of lengths 64 to 72 is presented. Almost all of the extremal double circulant singly-even codes given have weight enumerators for which extremal codes were not previously known to exist.

AB - Recently extremal double circulant self-dual codes have been classified for lengths n ≤ 62. In this paper, a complete classification of extremal double circulant self-dual codes of lengths 64 to 72 is presented. Almost all of the extremal double circulant singly-even codes given have weight enumerators for which extremal codes were not previously known to exist.

KW - Extremal codes

KW - Self-dual codes and double circulant codes

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U2 - 10.1023/A:1008249924142

DO - 10.1023/A:1008249924142

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VL - 13

SP - 257

EP - 269

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

SN - 0925-1022

IS - 3

ER -

Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72

Abstract

Keywords

ASJC Scopus subject areas

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