Construction of Cyclic DNA Codes Over the Ring Z4 &x002B; <italic>v</italic>Z4

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

页码：111200 / 111207

页数：8

共 50 条

[1] Magnetic and Structural Properties of GdFe1&x2013;<italic>x</italic>Ti<italic>x</italic>Si
Kuchin, Anatoly
Platonov, Sergey
Gaviko, Vasilii
Yakovleva, Maria
IEEE MAGNETICS LETTERS, 2019, 10
[2] Thermal Treatment of Chains of Amorphous Fe1<italic>x</italic>Co<italic>x</italic> Nanoparticles Made by Magnetic-Field-Induced Coreduction Reaction
Krajewski, Marcin
Tokarczyk, Mateusz
Stefaniuk, Tomasz
Lewinska, Sabina
Slawska-Waniewska, Anna
IEEE MAGNETICS LETTERS, 2019, 10
[3] <italic>l</italic>2,<italic>p</italic>-Norm Based Discriminant Subspace Clustering Algorithm
Zhi, Xiaobin
Bi, Longtao
Fan, Jiulun
IEEE ACCESS, 2020, 8 : 76043 - 76055
[4] Magnetic Properties and Microstructures of Sintered Sm2Co17 Alloys With High Knee-Point Coercivity <italic>H</italic>k
Sun, Wei
Zhang, Pengjie
Zhang, Weifeng
Li, Bingshan
Wang, Shuai
Zhu, Minggang
Li, Wei
IEEE TRANSACTIONS ON MAGNETICS, 2020, 56 (06)
[5] Statistical Investigation of Lightning Impulse Breakdown Voltage of Natural and Synthetic Ester Oils-Based Fe3O4, Al2O3 and SiO2 Nanofluids
Beroual, Abderrahmane
Khaled, Usama
IEEE ACCESS, 2020, 8 : 112615 - 112623
[6] Processing of Soft Magnetic Fine Powders Directly From As-Spun Partial Crystalline Fe77Ni5.5Co5.5Zr7B4Cu Ribbon via Ball Mill Without Devitrification
Thomas, Som V.
Willard, Matthew A.
Martone, Anthony
Heben, Michael J.
Solomon, C. Virgil
Welton, Aaron
Boolchand, Punit
Ewing, Rodney C.
Wang, Chenxu
Bud'ko, Sergey L.
Shi, Donglu
IEEE TRANSACTIONS ON MAGNETICS, 2020, 56 (06)
[7] A Batch Variable Learning Rate Gradient Descent Algorithm With the Smoothing <italic>L</italic>1/2 Regularization for Takagi-Sugeno Models
Lu, Yunlong
Li, Wenyu
Wang, Hongwei
IEEE ACCESS, 2020, 8 : 100185 - 100193
[8] High-Power Passively Q-Switched Nd:YVO4 Laser Based on WS2 Saturable Absorber
Wang, Yun
Liu, Sicong
Wang, Jiang
Wang, Huizhong
Wang, Taijin
Wang, Yonggang
IEEE PHOTONICS TECHNOLOGY LETTERS, 2020, 32 (13) : 831 - 834
[9] Low Power and Ultrafast Multi-Stat Switching in nc-Al Induced Al2O3/AlxOy Bilayer Thin Film RRAM Device
Zhu, Wei
Li, Jie
Xu, Xiaobo
Zhang, Lin
Zhao, Yi
IEEE ACCESS, 2020, 8 : 16310 - 16315
[10] Development of Sputter Epitaxy Technique of Pure-Perovskite (001)/(100)-Oriented Sm-Doped Pb(Mg1/3, Nb2/3)O3PbTiO3 on Si
Qi, Xuanmeng
Yoshida, Shinya
Tanaka, Shuji
IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 2020, 67 (12) : 2738 - 2744

← 1 2 3 4 5 →

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

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