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W2899771682 abstract "Let F2m be a finite field of cardinality 2m, n be an odd positive integer, and denote R=F2m[u]∕〈u3〉. Let δ,α∈F2m×. Then (δ+αu2)-constacyclic codes over R are called constacyclic codes over R of Type 2. In this paper, an explicit representation and a complete description for all distinct (δ+αu2)-constacyclic codes over R of length 2n and their dual codes are given. Moreover, explicit formulas for the number of codewords in each code and the number of all such codes are provided respectively. In particular, all distinct self-dual (1+αu2)-constacyclic codes over R of length 2n are presented precisely. In addition, a complement to a result in Cao et al. (2017) is given." @default.
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W2899771682 date "2019-02-01" @default.
W2899771682 modified "2023-10-16" @default.
W2899771682 title "Type 2 constacyclic codes over <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll id=d1e19 altimg=si15.gif><mml:msub><mml:mrow><mml:mi mathvariant=double-struck>F</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msub><mml:mrow><mml:mo>[</mml:mo><mml:mi>u</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mo>∕</mml:mo><mml:mrow><mml:mo>〈</mml:mo><mml:msup><mml:…" @default.
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W2899771682 doi "https://doi.org/10.1016/j.disc.2018.10.005" @default.
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