title: Maximal dinucleotide and trinucleotide circular codes.
abstract: We determine here the number and the list of maximal dinucleotide and trinucleotide circular codes. We prove that there is no maximal dinucleotide circular code having strictly less than 6 elements (maximum size of dinucleotide circular codes). On the other hand, a computer calculus shows that there are maximal trinucleotide circular codes with less than 20 elements (maximum size of trinucleotide circular codes). More precisely, there are maximal trinucleotide circular codes with 14, 15, 16, 17, 18 and 19 elements and no maximal trinucleotide circular code having less than 14 elements. We give the same information for the maximal self-complementary dinucleotide and trinucleotide circular codes. The amino acid distribution of maximal trinucleotide circular codes is also determined.
authors.affiliation: Theoretical Bioinformatics, ICube, University of Strasbourg, CNRS, 300 Boulevard Sébastien Brant, 67400 Illkirch, France. Electronic address: c.michel@unistra.fr.
authors.forename: Christian J
authors.initials: CJ
authors.lastname: Michel
authors.affiliation: Dipartimento di Matematica e Informatica "U.Dini", viale Morgagni 67/A, 50134 Firenze, Italy. Electronic address: pellegrin@math.unifi.it.
authors.forename: Marco
authors.initials: M
authors.lastname: Pellegrini
authors.affiliation: Consiglio Nazionale delle Ricerche, Istituto di Analisi dei Sistemi ed Informatica "Antonio Ruberti", Unità di Firenze, Dipartimento di Matematica e Informatica "U.Dini", viale Morgagni 67/A, 50134 Firenze, Italy; Université de Marne-la-Vallée, 5 boulevard Descartes, 77454 Marne-la-Vallée Cedex 2, France. Electronic address: pirillo@math.unifi.it.
authors.forename: Giuseppe
authors.initials: G
authors.lastname: Pirillo
mesh_terms: D000596:Amino Acids / Q000235:genetics*; D000818:Animals; D016782:Apicomplexa / Q000235:genetics; D001419:Bacteria / Q000235:genetics; D005658:Fungi / Q000235:genetics; D005815:Genetic Code; D006801:Humans; D008957:Models, Genetic; D008962:Models, Theoretical; D009711:Nucleotides / Q000737:chemistry / Q000235:genetics*; D012984:Software; D014780:Viruses / Q000235:genetics
chemical_list: D000596:Amino Acids; D009711:Nucleotides
keywords: Maximal dinucleotide circular code; Maximal self-complementary dinucleotide circular code; Maximal self-complementary trinucleotide circular code; Maximal trinucleotide circular code