Note: A complete classification of ternary self-dual codes of length 24
Journal of Combinatorial Theory Series A
The codes and the lattices of Hadamard matrices
European Journal of Combinatorics
Experimental constructions of self-dual codes
Finite Fields and Their Applications
On the classification and enumeration of self-dual codes
Finite Fields and Their Applications
| Hi-index | 754.84 |
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 codes with minimum Hamming distanced=9; most of the codes haved=6and are indecomposable; one code withd=6has a trivial automorphism group (this is the first such self-dual code that has been found); the codes generated by the59inequivalent24 times 24Hadamard matrices have been investigated and there appear to be only nine inequivalent codes (two withd=9and seven withd=6); and in all there are27decomposable codes, at least96indecomposable codes withd=6, and the total number of inequivalent codes is at least140.