长度为5、幂零指数为4的有限局部Frobenius非链环上的自对偶、可逆和互补对偶常环码。

Pub Date : 2021-06-01 DOI:10.2478/auom-2021-0017

C. A. Castillo-Guillén, C. Álvarez-García

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引用次数: 1

摘要

摘要在长度为5、幂零指数为4的有限局部Frobenius非链环上，当码长相对于环的残馀域的特征为素数时，建立了γ-恒环码的对偶结构，给出了自对偶、可逆γ-恒环码和具有互补对偶的γ-恒环码的代数表征。

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Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4.

Abstract Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established and the algebraic characterization of self-dual, reversible γ-constacyclic codes and γ-constacyclic codes with complementary dual are given.

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