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On ternary self-dual codes of length 24

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3 Author(s)

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 distance d=9 ; most of the codes have d=6 and are indecomposable; one code with d=6 has a trivial automorphism group (this is the first such self-dual code that has been found); the codes generated by the 59 inequivalent 24 \times 24 Hadamard matrices have been investigated and there appear to be only nine inequivalent codes (two with d=9 and seven with d=6) ; and in all there are 27 decomposable codes, at least 96 indecomposable codes with d=6 , and the total number of inequivalent codes is at least 140 .

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Information Theory, IEEE Transactions on  (Volume:27 ,  Issue: 2 )