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

Carlos Alberto Castillo-Guillén, Cain Álvarez-García · Analele Universităţii "Ovidius" Constanţa. Seria Matematică · 2021

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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