Construction of Cyclic DNA Codes Over the Ring Z<sub>4</sub> &x002B; <italic>v</italic>Z<sub>4</sub>

被引：0
|
作者：
Liu, Jie [1 ]
Liu, Hualu [2 ]
机构：
[1] Hubei Polytech Univ, Sch Med, Huangshi 435003, Hubei, Peoples R China
[2] Hubei Univ Technol, Sch Sci, Wuhan 430068, Peoples R China
来源：
IEEE ACCESS | 2020年 / 8卷
关键词：
DNA; Linear codes; Licenses; Hamming weight; Hamming distance; Hafnium; Reactive power; Reverse-complement cyclic code; cyclic DNA code; Watson-Crick complement;
D O I：
10.1109/ACCESS.2020.3001283
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, we investigate DNA codes of odd length over the finite ring . Firstly, we give a map from to . Then cyclic codes of odd length satisfying the reverse and reverse-complement constraint are characterized over such ring. Moreover, when is a reverse-complement cyclic code over , we prove that is a cyclic DNA code by using the method different from all the previously known ones, which helps us finding a new DNA code with 256 codewords. Finally, we consider the content of code over finite ring by means of the Gray images of the minimal generating set of .
引用
收藏
页码：111200 / 111207
页数：8
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