{"title":"Coding theory based on balancing polynomials","authors":"B. Prasad","doi":"10.2478/candc-2021-0017","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we introduce a Q2n(x) Q_2^n\\left( x \\right) matrix, whose elements are balancing polynomials, and develop a new coding and decoding method following from the Q2n(x) Q_2^n\\left( x \\right) matrix. We establish the relations between the code matrix elements, error detection and correction for this coding theory.","PeriodicalId":55209,"journal":{"name":"Control and Cybernetics","volume":"50 1","pages":"335 - 346"},"PeriodicalIF":0.0000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Control and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/candc-2021-0017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract In this paper, we introduce a Q2n(x) Q_2^n\left( x \right) matrix, whose elements are balancing polynomials, and develop a new coding and decoding method following from the Q2n(x) Q_2^n\left( x \right) matrix. We establish the relations between the code matrix elements, error detection and correction for this coding theory.
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