A Complete Classification of Ternary Self-Dual Codes of Length 24

preprint2008arXivOpen access

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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