We investigate the properties of binary linear codes of even length whose permutationautomorphism group is a cyclic group generated by an involution. Up to dimension or co-dimension 4, we show that there is no quasi-...
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We investigate the properties of binary linear codes of even length whose permutationautomorphism group is a cyclic group generated by an involution. Up to dimension or co-dimension 4, we show that there is no quasi-group code whose permutationautomorphism group is isomorphic to C-2. By generalizing the method we use to prove this result, we obtain results on the structure of putative extremal self-dual [16, 36, 72] and [20, 48, 96] codes in the presence of an involutory permutationautomorphism.
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