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

Authors:
Masaaki Harada;Akihiro Munemasa
Affiliations:
Department of Mathematical Sciences, Yamagata University, Yamagata 990--8560, Japan;Graduate School of Information Sciences, Tohoku University, Sendai 980--8579, Japan
Venue:
Journal of Combinatorial Theory Series A
Year:
2009

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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.