Classification of ternary extremal self-dual codes of length 28

Masaaki Harada; Akihiro Munemasa; Boris Venkov

doi:10.1090/S0025-5718-08-02194-7

Classification of ternary extremal self-dual codes of length 28

Masaaki Harada, Akihiro Munemasa, Boris Venkov

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

10 Citations (Scopus)

Abstract

All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we give a classification of ternary extremal self-dual codes of length 28. Up to equivalence, there are 6,931 such codes.

Original language	English
Pages (from-to)	1787-1796
Number of pages	10
Journal	Mathematics of Computation
Volume	78
Issue number	267
DOIs	https://doi.org/10.1090/S0025-5718-08-02194-7
Publication status	Published - 2009 Jul

Keywords

Extremal self-dual code
Frame
Unimodular lattice

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10.1090/S0025-5718-08-02194-7

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title = "Classification of ternary extremal self-dual codes of length 28",

abstract = "All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we give a classification of ternary extremal self-dual codes of length 28. Up to equivalence, there are 6,931 such codes.",

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author = "Masaaki Harada and Akihiro Munemasa and Boris Venkov",

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AU - Harada, Masaaki

AU - Munemasa, Akihiro

AU - Venkov, Boris

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AB - All 28-dimensional unimodular lattices with minimum norm 3 are known. Using this classification, we give a classification of ternary extremal self-dual codes of length 28. Up to equivalence, there are 6,931 such codes.

KW - Extremal self-dual code

KW - Frame

KW - Unimodular lattice

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Classification of ternary extremal self-dual codes of length 28

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Keywords

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