A complete classification of ternary self-dual codes of length 24

Masaaki Harada; Akihiro Munemasa

doi:10.1016/j.jcta.2008.11.011

A complete classification of ternary self-dual codes of length 24

Masaaki Harada, Akihiro Munemasa

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

10 Citations (Scopus)

Abstract

Ternary self-dual codes have been classified for lengths up to 20. At length 24, a classification of only extremal self-dual codes is known. In this paper, we give a complete classification of ternary self-dual codes of length 24 using the classification of 24-dimensional odd unimodular lattices.

Original language	English
Pages (from-to)	1063-1072
Number of pages	10
Journal	Journal of Combinatorial Theory - Series A
Volume	116
Issue number	5
DOIs	https://doi.org/10.1016/j.jcta.2008.11.011
Publication status	Published - 2009 Jul

Keywords

Frame
Self-dual code
Unimodular lattice

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10.1016/j.jcta.2008.11.011

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title = "A complete classification of ternary self-dual codes of length 24",

abstract = "Ternary self-dual codes have been classified for lengths up to 20. At length 24, a classification of only extremal self-dual codes is known. In this paper, we give a complete classification of ternary self-dual codes of length 24 using the classification of 24-dimensional odd unimodular lattices.",

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author = "Masaaki Harada and Akihiro Munemasa",

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AB - Ternary self-dual codes have been classified for lengths up to 20. At length 24, a classification of only extremal self-dual codes is known. In this paper, we give a complete classification of ternary self-dual codes of length 24 using the classification of 24-dimensional odd unimodular lattices.

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KW - Self-dual code

KW - Unimodular lattice

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A complete classification of ternary self-dual codes of length 24

Abstract

Keywords

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