Optimal ternary formally self-dual codes

Steven T. Dougherty; T. Aaron Gulliver; Masaaki Harada

doi:10.1016/S0012-365X(98)00198-8

Optimal ternary formally self-dual codes

Steven T. Dougherty, T. Aaron Gulliver, Masaaki Harada

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

8 Citations (Scopus)

Abstract

In this paper, we study ternary optimal formally self-dual codes. Bounds for the highest minimum weight are given for length up to 30 and examples of optimal formally self-dual codes are constructed. For some lengths, we have found formally self-dual codes which have a higher minimum weight than any self-dual code. It is also shown that any optimal formally self-dual [10,5,5] code is related to the ternary Golay code of length 12.

Original language	English
Pages (from-to)	117-135
Number of pages	19
Journal	Discrete Mathematics
Volume	196
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(98)00198-8
Publication status	Published - 1999
Externally published	Yes

Keywords

Formally self-dual codes
Ternary codes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(98)00198-8

Cite this

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AU - Harada, Masaaki

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AB - In this paper, we study ternary optimal formally self-dual codes. Bounds for the highest minimum weight are given for length up to 30 and examples of optimal formally self-dual codes are constructed. For some lengths, we have found formally self-dual codes which have a higher minimum weight than any self-dual code. It is also shown that any optimal formally self-dual [10,5,5] code is related to the ternary Golay code of length 12.

KW - Formally self-dual codes

KW - Ternary codes

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JF - Discrete Mathematics

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ER -

Optimal ternary formally self-dual codes

Abstract

Keywords

ASJC Scopus subject areas

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