Optimal ternary formally self-dual codes. (English) Zbl 1057.94041
Summary: In this paper, we study ternary optimal formally self-dual codes. Bounds for the highest minimum weight are given for length up to 30 and examples of optimal formally self-dual codes are constructed. For some lengths, we have found formally self-dual codes which have a higher minimum weight than any self-dual code. It is also shown that any optimal formally self-dual \([10,5,5]\) code is related to the ternary Golay code of length 12.
MSC:
| 94B60 | Other types of codes |
References:
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