Dinucleotide Circular Codes. (12th February 2013)

• Record Type: Journal Article
• Authors: Michel, Christian J.; Pirillo, Giuseppe
• Other Names: Chow J. Academic Editor.; Jose M. Academic Editor.; Roussel M. R. Academic Editor.; Wu J. H. Academic Editor.
• Is Part Of: ISRN biomathematics. Volume 2013(2013)
• Publication Date: 2013-02-12
• Subjects: Biomathematics -- Periodicals; Models, Biological; Biometry; Biomathematics; Electronic journals; Periodicals; Periodicals; Fulltext; Internet Resources; Periodicals; 570.151
• DOI: 10.1155/2013/538631
• Languages: English
• ISSNs: 2090-7702

Abstract

Abstract : We begin here a combinatorial study of dinucleotide circular codes. A word written on a circle is called circular. A set of dinucleotides is a circular code if all circular words constructed with this set have a unique decomposition. Propositions based on a letter necklace allow to determine the 24 maximum dinucleotide circular codes (of 6 elements). A partition property is also identified with eight self-complementary maximum dinucleotide circular codes and two classes of eight maximum dinucleotide circular codes in bijective correspondence by the complementarity map.