Apr 4, 2008 · Abstract: Ternary self-dual codes have been classified for lengths up to 20. At length 24, a classification of only extremal self-dual codes ...

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.

A complete classification of ternary self-dual codes of length 24. (English). Zbl 1168.94006 · J. Comb. Theory, Ser. A 116, No. 5, 1063-1072 (2009). Self-dual ...

Apr 4, 2008 · As described in [16], self-dual codes are an important class of linear codes for both theoretical and practical reasons.

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.

Oct 22, 2024 · A partial classification is given of the self-dual codes of length 24 over GF (3). The main results are as follows: there are exactly two ...

Oct 22, 2024 · 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, all extremal Type I and Type III codes of length 60 with an automorphism of order 29 are classified up to equivalence.

Theorem 1. There are exactly 166 inequivalent ternary self-dual [24, 12, 6] codes. There are exactly 170 inequivalent ternary self-dual [24, 12, 3] codes.

This paper gives a partial classification of the ternary self-dual codes of length 24. The following are the main results. 1) There are exactly 27 decomposable ...