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- W4289551027 abstract "We investigate the properties of binary linear codes of even length whose permutation automorphism 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 permutation automorphism 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 $[72, 36, 16]$ and $[96, 48, 20]$ codes in the presence of an involutory permutation automorphism." @default.
- W4289551027 created "2022-08-03" @default.
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- W4289551027 date "2022-07-30" @default.
- W4289551027 modified "2023-10-16" @default.
- W4289551027 title "Involutory permutation automorphisms of binary linear codes" @default.
- W4289551027 doi "https://doi.org/10.48550/arxiv.2208.00299" @default.
- W4289551027 hasPublicationYear "2022" @default.
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