Growth Function of Self-complementary Circular Codes.

In several papers Arquès and Michel studied the maximal circular codes consisting of words of length 3 (or trinucleotides) on the genetic alphabet {A, C, G, T}. We present here some additional information on these codes. In particular, we study the growth function of the self-complementary circular...

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Publicado en:Biology Forum / Rivista di Biologia Vol. 98; no. 1; pp. 97 - 111
Autores principales: Pirillo, Giuseppe, Pirillo, Mario Aldo
Formato: Artículo
Publicado: Fabrizio Serra Editore 2005
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Acceso en línea:Ver este registro en EBSCOhost
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          Pirillo, Giuseppe
          Pirillo, Mario Aldo
        affil:
          Consiglio Nazionale delle Ricerche, Istituto di Analisi dei Sistemi ed Informatica "Antonio Ruberti", Unità di Firenze, Dipartimento di Matematica "U. Dini", Viale Morgagni 67/A, 50134 Firenze, Italia
          Université de Marne-la-Vallée, 5 Boulevard Descartes, Champs sur Marne, 77454 Marne-la-Vallée Cedex 2, France
          Istituto Statale SS. Annunziata, Piazzale del Poggio Imperiale 1, Firenze, Italia
      su:
        Alphabet
        Hieroglyphics
        Ciphers
        Cryptography
        Mathematical functions
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        subj:
          Alphabet
          Hieroglyphics
          Ciphers
          Cryptography
          Mathematical functions
      keyword:
        circular codes
        codes
        Nucleotides
        trinucleotides
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        In several papers Arquès and Michel studied the maximal circular codes consisting of words of length 3 (or trinucleotides) on the genetic alphabet {A, C, G, T}. We present here some additional information on these codes. In particular, we study the growth function of the self-complementary circular codes and we prove that among them exactly 528 are maximal.
        In diversi lavori Arquès e Michel hanno studiato i codici circolari massimali costituiti da parole di lunghezza 3 (o trinucleotidi) sull'alfabeto genetico {A, C, G, T }. Noi presentiamo qui alcune altre informazioni su questi codici. In particolare, studiamo la funzione di crescita dei codici circolari autocomplementari e dimostriamo che quelli massimali sono esattamente 528.
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