{"title":"On the dinucleotide circular codes of maximum cardinality.","authors":"Marco Pellegrini, Giuseppe Pirillo","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>In a recent paper, Michel and Pirillo prove that there are 24 dinucleotide circular codes of maximum cardinality over an alphabet of cardinality 4. In this paper we find the exact number of dinucleotide circular codes of maximum cardinality for any given (finite) cardinality of the alphabet. Moreover, we describe the structure of these codes.</p>","PeriodicalId":54453,"journal":{"name":"Theoretical Biology Forum","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical Biology Forum","FirstCategoryId":"99","ListUrlMain":"","RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Agricultural and Biological Sciences","Score":null,"Total":0}
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Abstract
In a recent paper, Michel and Pirillo prove that there are 24 dinucleotide circular codes of maximum cardinality over an alphabet of cardinality 4. In this paper we find the exact number of dinucleotide circular codes of maximum cardinality for any given (finite) cardinality of the alphabet. Moreover, we describe the structure of these codes.
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