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

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

2008-04-04

arxiv.org/abs/0804.0637v1

Mathematics

Combinatorics

Scientific paper

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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