On the duality of cyclic codes of length ps over Fpm[u]/⟨u3⟩

被引：0
|
作者：
Erfanian, Ahmad [1 ,2 ]
Hesari, Roghaye Mohammadi [3 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran
[2] Ferdowsi Univ Mashhad, Ctr Excellence Anal Algebra Struct, Mashhad, Iran
[3] Payam Noor Univ, Qydear, Zanjan, Iran
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2024年 / 99卷
关键词：
Chain ring; Cyclic code; Duality; Optimal code; Torsion; ROOT CONSTACYCLIC CODES;
D O I：
10.1016/j.ffa.2024.102500
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we determine the dual codes of cyclic codes of length p(s) over R-3 = F(p)m[u]/< u(3)>, where pis a prime number and u(3) = 0. 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 p(s) over R-3 and compute dual of them. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：35
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