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A hierarchy for circular codes

Published online by Cambridge University Press:  22 January 2008

Giuseppe Pirillo
Giuseppe Pirillo*
Affiliation:
IASI CNR, Viale Morgagni 67/A, 50134 Firenze, Italy; pirillo@math.unifi.it Université de Marne-la-Vallée 5, boulevard Descartes Champs sur Marne 77454 Marne-la-Vallée Cedex 2, France. Bigollo (Leonardo Pisano).
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Abstract

We first prove an extremal property of the infinite Fibonacci* word f: the family of the palindromic prefixes {hn | n ≥ 6} of f is not only a circular code but “almost” a comma-free one (see Prop. 12 in Sect. 4). We also extend to a more general situation the notion of a necklace introduced for the study of trinucleotides codes on the genetic alphabet, and we present a hierarchy relating two important classes of codes, the comma-free codes and the circular ones.

Keywords

Theory of codescomma-free codescircular codes.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 4: Fibonacci words , October 2008 , pp. 717 - 728
Copyright
© EDP Sciences, 2008

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