在F2+uF2上构造DNA编码的双循环码。

IF 1.4 4区 生物学 Q4 BIOCHEMICAL RESEARCH METHODS
Arunothai Kanlaya, Chakkrid Klin-Eam
{"title":"在F2+uF2上构造DNA编码的双循环码。","authors":"Arunothai Kanlaya, Chakkrid Klin-Eam","doi":"10.1089/cmb.2022.0151","DOIUrl":null,"url":null,"abstract":"<p><p>In this article, we investigate the algebraic structure of double cyclic codes of length <math><mrow><mo>(</mo><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow><mo>)</mo></mrow></math> over <math><msub><mrow><mstyle><mi>F</mi></mstyle></mrow><mrow><mn>2</mn></mrow></msub><mo>+</mo><mi>u</mi><msub><mrow><mstyle><mi>F</mi></mstyle></mrow><mrow><mn>2</mn></mrow></msub></math> with <math><msup><mrow><mi>u</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mn>0</mn></math> and construct DNA codes from these codes. The theory of constructing double cyclic codes suitable for DNA codes is studied. We provide the necessary and sufficient conditions for the double cyclic codes to be reversible and reversible-complement codes. As an illustration, we present some of the DNA codes generated from our results.</p>","PeriodicalId":15526,"journal":{"name":"Journal of Computational Biology","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"<ArticleTitle xmlns:ns0=\\\"http://www.w3.org/1998/Math/MathML\\\">Constructing Double Cyclic Codes over <ns0:math><ns0:msub><ns0:mrow><ns0:mstyle><ns0:mi>F</ns0:mi></ns0:mstyle></ns0:mrow><ns0:mrow><ns0:mn>2</ns0:mn></ns0:mrow></ns0:msub><ns0:mo>+</ns0:mo><ns0:mi>u</ns0:mi><ns0:msub><ns0:mrow><ns0:mstyle><ns0:mi>F</ns0:mi></ns0:mstyle></ns0:mrow><ns0:mrow><ns0:mn>2</ns0:mn></ns0:mrow></ns0:msub></ns0:math> for DNA Codes.\",\"authors\":\"Arunothai Kanlaya, Chakkrid Klin-Eam\",\"doi\":\"10.1089/cmb.2022.0151\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>In this article, we investigate the algebraic structure of double cyclic codes of length <math><mrow><mo>(</mo><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow><mo>)</mo></mrow></math> over <math><msub><mrow><mstyle><mi>F</mi></mstyle></mrow><mrow><mn>2</mn></mrow></msub><mo>+</mo><mi>u</mi><msub><mrow><mstyle><mi>F</mi></mstyle></mrow><mrow><mn>2</mn></mrow></msub></math> with <math><msup><mrow><mi>u</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mn>0</mn></math> and construct DNA codes from these codes. The theory of constructing double cyclic codes suitable for DNA codes is studied. We provide the necessary and sufficient conditions for the double cyclic codes to be reversible and reversible-complement codes. As an illustration, we present some of the DNA codes generated from our results.</p>\",\"PeriodicalId\":15526,\"journal\":{\"name\":\"Journal of Computational Biology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2023-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational Biology\",\"FirstCategoryId\":\"99\",\"ListUrlMain\":\"https://doi.org/10.1089/cmb.2022.0151\",\"RegionNum\":4,\"RegionCategory\":\"生物学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"BIOCHEMICAL RESEARCH METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Biology","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1089/cmb.2022.0151","RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BIOCHEMICAL RESEARCH METHODS","Score":null,"Total":0}
引用次数: 0

摘要

本文研究了u2=0的F2+uF2上长度为(α,β)的双循环码的代数结构,并用这些双循环码构造了DNA编码。研究了构建适用于DNA编码的双循环编码的理论。我们给出了双循环码是可逆和可逆补码的充要条件。作为一个例子,我们展示了从我们的结果中产生的一些DNA代码。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Constructing Double Cyclic Codes over F2+uF2 for DNA Codes.

In this article, we investigate the algebraic structure of double cyclic codes of length (α,β) over F2+uF2 with u2=0 and construct DNA codes from these codes. The theory of constructing double cyclic codes suitable for DNA codes is studied. We provide the necessary and sufficient conditions for the double cyclic codes to be reversible and reversible-complement codes. As an illustration, we present some of the DNA codes generated from our results.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Journal of Computational Biology
Journal of Computational Biology 生物-计算机:跨学科应用
CiteScore
3.60
自引率
5.90%
发文量
113
审稿时长
6-12 weeks
期刊介绍: Journal of Computational Biology is the leading peer-reviewed journal in computational biology and bioinformatics, publishing in-depth statistical, mathematical, and computational analysis of methods, as well as their practical impact. Available only online, this is an essential journal for scientists and students who want to keep abreast of developments in bioinformatics. Journal of Computational Biology coverage includes: -Genomics -Mathematical modeling and simulation -Distributed and parallel biological computing -Designing biological databases -Pattern matching and pattern detection -Linking disparate databases and data -New tools for computational biology -Relational and object-oriented database technology for bioinformatics -Biological expert system design and use -Reasoning by analogy, hypothesis formation, and testing by machine -Management of biological databases
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信