Title : ( Two dimensional double cyclic codes over finite fields )
Authors: Niloufar Hajiaghajanpour , Kazem Khashyarmanesh ,
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Abstract
A linear code C of length n = ru + sv is a two-dimensional 픽-double cyclic code if the set of coordinates can be partitioned into two arrays, such that any cyclic row shifts and column-shifts of both arrays of a codeword is also a codeword. In this paper, we examine the algebraic structure of these codes and their dual codes in general. Moreover, we are interested in finding out a generating set for these codes (and their dual codes) in case when u = 2, v = 4 and char(F) ≠ 2.
Keywords
, Two, dimensional cyclic code · Double cyclic code · Cyclic code
@article{paperid:1094057,
author = {Hajiaghajanpour, Niloufar and Khashyarmanesh, Kazem},
title = {Two dimensional double cyclic codes over finite fields},
journal = {Applicable Algebra in Engineering, Communication and Computing},
year = {2023},
month = {February},
issn = {0938-1279},
keywords = {Two-dimensional cyclic code · Double cyclic code · Cyclic code},
}
%0 Journal Article
%T Two dimensional double cyclic codes over finite fields
%A Hajiaghajanpour, Niloufar
%A Khashyarmanesh, Kazem
%J Applicable Algebra in Engineering, Communication and Computing
%@ 0938-1279
%D 2023
