Title : ( On the duality of cyclic codes of length p over Fpm[u]〈u3〉 )
Authors: Ahmad Erfanian , Roghaye Mohammadi Hesari ,
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Abstract
In this paper, we determine the dual codes of cyclic codes of length over , where p is a prime number and . Also, we improve and give correction of the results stated by B. Kim and J. Lee (2020) in [11]. Finally, we provide some examples of optimal and near-MDS cyclic codes of length over and compute dual of them.
Keywords
, Chain ring, cyclic code, duality, optimal code, torsion code.
@article{paperid:1102603,
author = {Erfanian, Ahmad and رقیه محمدی حصاری},
title = {On the duality of cyclic codes of length p over Fpm[u]〈u3〉},
journal = {Finite Fields and Their Applications},
year = {2024},
volume = {99},
month = {October},
issn = {1071-5797},
pages = {102500--102520},
numpages = {20},
keywords = {Chain ring; cyclic code; duality; optimal code; torsion code.},
}
%0 Journal Article
%T On the duality of cyclic codes of length p over Fpm[u]〈u3〉
%A Erfanian, Ahmad
%A رقیه محمدی حصاری
%J Finite Fields and Their Applications
%@ 1071-5797
%D 2024
