We first prove an extremal property of the infinite Fibonacci word : the family of the palindromic prefixes of 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.
Mots clés : theory of codes, comma-free codes, circular codes
@article{ITA_2008__42_4_717_0, author = {Pirillo, Giuseppe}, title = {A hierarchy for circular codes}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {717--728}, publisher = {EDP-Sciences}, volume = {42}, number = {4}, year = {2008}, doi = {10.1051/ita:2008002}, mrnumber = {2458703}, zbl = {1155.68069}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ita:2008002/} }
TY - JOUR AU - Pirillo, Giuseppe TI - A hierarchy for circular codes JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2008 SP - 717 EP - 728 VL - 42 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ita:2008002/ DO - 10.1051/ita:2008002 LA - en ID - ITA_2008__42_4_717_0 ER -
%0 Journal Article %A Pirillo, Giuseppe %T A hierarchy for circular codes %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2008 %P 717-728 %V 42 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ita:2008002/ %R 10.1051/ita:2008002 %G en %F ITA_2008__42_4_717_0
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. http://www.numdam.org/articles/10.1051/ita:2008002/
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