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- W2576982020 abstract "In this paper, we study $mathbb{Z}_{2}mathbb{Z}_{2}[u]$-$(1+u)$-additive constacyclic code of arbitrary length. Firstly, we study the algebraic structure of this family of codes and a set of generator polynomials for this family as a $(mathbb{Z}_{2}+umathbb{Z}_{2})[x]$-submodule of the ring $R_{alpha,beta}$. Secondly, we give the minimal generating sets of this family codes, and we determine the relationship of generators between the $mathbb{Z}_{2}mathbb{Z}_{2}[u]$-$(1+u)$-additive constacyclic codes and its dual and give the parameters in terms of the degrees of the generator polynomials of the code. Lastly, we also study $mathbb{Z}_{2}mathbb{Z}_{2}[u]$-$(1+u)$-additive constacyclic code in terms of the Gray images." @default.
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- W2576982020 date "2016-11-10" @default.
- W2576982020 modified "2023-09-27" @default.
- W2576982020 title "On $mathbb{Z}_{2}mathbb{Z}_{2}[u]$-$(1+u)$-additive constacyclic" @default.
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