Two-dimensional cyclic codes over a finite chain ring

被引：0
|
作者：
Garg, Disha [1 ]
Dutt, Sucheta [1 ]
机构：
[1] Punjab Engn Coll, Dept Math, Sect 12, Chandigarh 160012, India
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2024年 / 32卷 / 03期
关键词：
Cyclic codes; 2D codes; Finite chain ring; Hamming distance; RANK;
D O I：
10.2478/auom-2024-0029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have determined the generators and rank of a 2D cyclic code of length mn over a finite chain ring R with residue field F-q, where m is arbitrary and q equivalent to 1(mod n). Further, we have obtained a necessary and sufficient condition for a 2D cyclic code over a finite chain ring R to be MHDR. Some examples of 2D cyclic codes have been constructed and ranks of these 2D cyclic codes have been calculated by us. We have also given a few examples of 2D cyclic codes over some finite chain rings, which are MHDR.
引用
收藏
页码：75 / 88
页数：14
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