Geodesic
A hierarchy for circular codes
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 4, pp. 717-728

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We first prove an extremal property of the infinite Fibonacci * word f: the family of the palindromic prefixes {h n | 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.

DOI : 10.1051/ita:2008002
Classification : 68R15, 94A45
Keywords: theory of codes, comma-free codes, circular codes 
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     title = {A hierarchy for circular codes},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {717--728},
     publisher = {EDP-Sciences},
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Pirillo, Giuseppe. A hierarchy for circular codes. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 4, pp. 717-728. doi: 10.1051/ita:2008002

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