Construction of cyclic DNA codes over Z4R

被引：0
|
作者：
Yildirim, Tulay [1 ]
机构：
[1] Karabuk Univ, Eskipazar Vocat Sch, Karabuk, Turkiye
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年 / 55卷 / 04期
关键词：
DNA codes over rings; Gray map; Linear codes; Mixed alphabets; Reversible codes; Reversible-complement codes; MOLECULAR COMPUTATION;
D O I：
10.1007/s13226-023-00451-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This study is devoted to the construction of cyclic DNA codes of odd length over Z(4)R. The generator polynomial of cyclic codes of this ring and the structure of its separable codes are studied in detail. A map psi(beta) from R-beta to {A, T, G, C}(2 beta) is defined and then constructed a one-to-one correspondence between DNA codons of alphabets and the elements of R. Furthermore, necessary and sufficient circumstances of cyclic codes over Z(4), R and Z(4)R to be reversible codes and reverse-complement constraints codes are determined. To support the theories, some important examples are illustrated.
引用
收藏
页码：1465 / 1476
页数：12
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