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- W2895839996 abstract "Let F be a finite field and let G be a finite group. We show that if C is a G-code over F with dimF(C)≤3 then C is an abelian group code. Since there exist non-abelian group codes of dimension 4 when charF>2 (see the examples in [1]), we conclude that the smallest dimension of a non-abelian group code over a finite field is 4." @default.
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- W2895839996 date "2019-01-01" @default.
- W2895839996 modified "2023-09-27" @default.
- W2895839996 title "Group codes of dimension 2 and 3 are abelian" @default.
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- W2895839996 doi "https://doi.org/10.1016/j.ffa.2018.09.009" @default.
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