Maximal circular codes versus maximal codes

Yannick Guesnet

RAIRO - Theoretical Informatics and Applications (2010)

  • Volume: 35, Issue: 4, page 351-365
  • ISSN: 0988-3754

Abstract

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We answer to a question of De Luca and Restivo whether there exists a circular code which is maximal as circular code and not as code.

How to cite

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Guesnet, Yannick. "Maximal circular codes versus maximal codes." RAIRO - Theoretical Informatics and Applications 35.4 (2010): 351-365. <http://eudml.org/doc/222030>.

@article{Guesnet2010,
abstract = { We answer to a question of De Luca and Restivo whether there exists a circular code which is maximal as circular code and not as code. },
author = {Guesnet, Yannick},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {maximal circular code},
language = {eng},
month = {3},
number = {4},
pages = {351-365},
publisher = {EDP Sciences},
title = {Maximal circular codes versus maximal codes},
url = {http://eudml.org/doc/222030},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Guesnet, Yannick
TI - Maximal circular codes versus maximal codes
JO - RAIRO - Theoretical Informatics and Applications
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 4
SP - 351
EP - 365
AB - We answer to a question of De Luca and Restivo whether there exists a circular code which is maximal as circular code and not as code.
LA - eng
KW - maximal circular code
UR - http://eudml.org/doc/222030
ER -

References

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  1. J. Berstel and D. Perrin, Theory of Codes. Academic Press (1985).  Zbl0587.68066
  2. V. Bruyère, Codes, Dissertation présentée pour l'obtention de grade légal de docteur en sciences. Université de Mons-Hainaut (1991).  
  3. V. Bruyère, On maximal codes with bounded synchronization delay. Theoret. Comput. Sci., 204 (1998) 11-28.  Zbl0913.68160
  4. A. de Luca and A. Restivo, On some properties of very pure codes. Theoret. Comput. Sci., 10 (1980) 157-170.  Zbl0421.68078
  5. Y. Guesnet, On codes with finite interpreting delay: A defect theorem. Theoret. Informatics Appl., 34 (2000) 47-59.  Zbl0978.94047
  6. Y. Guesnet, Codes et interprétations, Thèse de doctorat. Université de Rouen (2001).  Zbl1005.94014
  7. Y. Guesnet, On maximal codes with finite interpreting delay. Theoret. Comput. Sci., (to appear).  Zbl1050.68040
  8. M.P. Schützenberger, Une théorie algébrique du codage, in: Séminaire Dubreil-Pisot 1955-56 Institut H. Poincaré (1956), Exposé n°15.  

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