New extremal self-dual codes of lengths 42 and 44

Stefka Bouyuklieva · IEEE Transactions on Information Theory · 1997

All extremal binary self-dual codes of lengths 42 and 44 which have an automorphism of order 5 with eight independent cycles are obtained up to equivalence. There are 109 inequivalent [42, 21, 8] codes with such an automorphism. All [44, 22, 8] codes that are obtained have 29 different weight enumerators.

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