Title : ( ℤ4R-additive cyclic and constacyclic codes and MDSS codes )
Authors: Arazgol ghajari enjehbron , Kazem Khashyarmanesh , Taher Abualrub , Irfan Siap ,
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Abstract
In this paper, we will study the structure of Z4R-additive codes where Z4 = {0, 1, 2, 3} is the well-known ring of 4 elements and R is the ring given by R = Z4 + uZ4 + vZ4, where u2 = u, v2 = v and uv = vu = 0. We will classify all maximum distance separable codes with respect to the Singleton bound (MDSS) over Z4R. Then we will focus on Z4R-additive cyclic and constacyclic codes. We will find a unique set of generator polynomials for these codes and determine minimum spanning sets for them. We will also find the generator polynomials for the dual of any Z4R-additive cyclic or constacyclic code.
Keywords
Additive cyclic codes; generator polynomials; dual codes and additive constacyclic code
@article{paperid:1094217,
author = {Ghajari Enjehbron, Arazgol and Khashyarmanesh, Kazem and Taher Abualrub and Irfan Siap},
title = {ℤ4R-additive cyclic and constacyclic codes and MDSS codes},
journal = {Discrete Mathematics, Algorithms and Applications},
year = {2022},
volume = {15},
number = {1},
month = {March},
issn = {1793-8309},
keywords = {Additive cyclic codes; generator polynomials; dual codes and additive constacyclic code},
}
%0 Journal Article
%T ℤ4R-additive cyclic and constacyclic codes and MDSS codes
%A Ghajari Enjehbron, Arazgol
%A Khashyarmanesh, Kazem
%A Taher Abualrub
%A Irfan Siap
%J Discrete Mathematics, Algorithms and Applications
%@ 1793-8309
%D 2022
