# A hierarchy for circular codes

RAIRO - Theoretical Informatics and Applications (2008)

- Volume: 42, Issue: 4, page 717-728
- ISSN: 0988-3754

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topPirillo, Giuseppe. "A hierarchy for circular codes." RAIRO - Theoretical Informatics and Applications 42.4 (2008): 717-728. <http://eudml.org/doc/250358>.

@article{Pirillo2008,

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.
},

author = {Pirillo, Giuseppe},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Theory of codes; comma-free codes; circular codes.; theory of codes; circular codes},

language = {eng},

month = {1},

number = {4},

pages = {717-728},

publisher = {EDP Sciences},

title = {A hierarchy for circular codes},

url = {http://eudml.org/doc/250358},

volume = {42},

year = {2008},

}

TY - JOUR

AU - Pirillo, Giuseppe

TI - A hierarchy for circular codes

JO - RAIRO - Theoretical Informatics and Applications

DA - 2008/1//

PB - EDP Sciences

VL - 42

IS - 4

SP - 717

EP - 728

AB -
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.

LA - eng

KW - Theory of codes; comma-free codes; circular codes.; theory of codes; circular codes

UR - http://eudml.org/doc/250358

ER -

## References

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