The equivalence of linear codes implies semi-linear equivalence

DOI10.1007/S10623-022-01055-XarXiv2107.07912WikidataQ114849733 ScholiaQ114849733MaRDI QIDQ6372990

James Dixon, Simeon Ball

Publication date: 16 July 2021

Abstract: We prove that if two linear codes are equivalent then they are semi-linearly equivalent. We also prove that if two additive MDS codes over a field are equivalent then they are additively equivalent.

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other types of codes (94B60)

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