Some new extremal codes of lengths 76 and 78

Document Type

Article

Publication Date

5-1-2003

Abstract

We find new extremal [76, 38, 14] and [78, 39, 14] binary self-dual codes. The code of length 76 is the first known self-dual code with these parameters. It is shadow extremal and the shortest known self-dual code with minimal distance 14. It has an automorphism of order 19 without fixed coordinates. The code of length 78 has a new weight enumerator and an automorphism of order 19 with two flxed coordinates.

Publication Title

IEEE Transactions on Information Theory

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