Extremal ternary self-dual codes constructed from negacirculant matrices

Masaaki Harada; W. Holzmann; H. Kharaghani; M. Khorvash

doi:10.1007/s00373-007-0731-2

Extremal ternary self-dual codes constructed from negacirculant matrices

Masaaki Harada, W. Holzmann, H. Kharaghani, M. Khorvash

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

18 Citations (Scopus)

Abstract

In this paper, a construction of ternary self-dual codes based on negacirculant matrices is given. As an application, we construct new extremal ternary self-dual codes of lengths 32, 40, 44, 52 and 56. Our approach regenerates all the known extremal self-dual codes of lengths 36, 48, 52 and 64. New extremal ternary quasi-twisted self-dual codes are also constructed.

Original language	English
Pages (from-to)	401-417
Number of pages	17
Journal	Graphs and Combinatorics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s00373-007-0731-2
Publication status	Published - 2007 Aug 1
Externally published	Yes

Keywords

Extremal code
Negacirculant matrix
Ternary self-dual code

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1007/s00373-007-0731-2

Cite this

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AU - Harada, Masaaki

AU - Holzmann, W.

AU - Kharaghani, H.

AU - Khorvash, M.

PY - 2007/8/1

Y1 - 2007/8/1

N2 - In this paper, a construction of ternary self-dual codes based on negacirculant matrices is given. As an application, we construct new extremal ternary self-dual codes of lengths 32, 40, 44, 52 and 56. Our approach regenerates all the known extremal self-dual codes of lengths 36, 48, 52 and 64. New extremal ternary quasi-twisted self-dual codes are also constructed.

AB - In this paper, a construction of ternary self-dual codes based on negacirculant matrices is given. As an application, we construct new extremal ternary self-dual codes of lengths 32, 40, 44, 52 and 56. Our approach regenerates all the known extremal self-dual codes of lengths 36, 48, 52 and 64. New extremal ternary quasi-twisted self-dual codes are also constructed.

KW - Extremal code

KW - Negacirculant matrix

KW - Ternary self-dual code

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Extremal ternary self-dual codes constructed from negacirculant matrices

Abstract

Keywords

ASJC Scopus subject areas

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