Title : ( 1-generator two-dimensional quasi-cyclic codes over $\mathbb{Z}_4[u]/\langle u^2-1\rangle$ )
Authors: Arazgol ghajari enjehbron , Kazem Khashyarmanesh , zohreh rajabi ,
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Abstract
In this paper, we obtain generating set of polynomials of two-dimensional cyclic codes over the ring R=Z4[u]/〈u^2−1〉, where u^2= 1. Moreover, we find generator polynomials for two-dimensional quasi- cyclic codes and two-dimensional generalized quasi-cyclic codes over R and specify a lower bound on minimum distance of free 1-generator two-dimensional quasi-cyclic codes and two-dimensional generalized quasi-cyclic codes over R .
Keywords
, Two-dimensional cyclic codes, Two-dimensional quasi-cyclic codes, Two-dimensional generalized quasi-cyclic codes
@article{paperid:1091965,
author = {Ghajari Enjehbron, Arazgol and Khashyarmanesh, Kazem and Rajabi, Zohreh},
title = {1-generator two-dimensional quasi-cyclic codes over $\mathbb{Z}_4[u]/\langle u^2-1\rangle$},
journal = {Journal of Algebra Combinatorics Discrete Structures and Applications},
year = {2022},
month = {January},
issn = {2148-838X},
keywords = {Two-dimensional cyclic codes; Two-dimensional quasi-cyclic codes; Two-dimensional generalized quasi-cyclic
codes},
}
%0 Journal Article
%T 1-generator two-dimensional quasi-cyclic codes over $\mathbb{Z}_4[u]/\langle u^2-1\rangle$
%A Ghajari Enjehbron, Arazgol
%A Khashyarmanesh, Kazem
%A Rajabi, Zohreh
%J Journal of Algebra Combinatorics Discrete Structures and Applications
%@ 2148-838X
%D 2022
