Maximal circular codes versus maximal codes

Yannick Guesnet

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2001)

  • 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 - Informatique Théorique et Applications 35.4 (2001): 351-365. <http://eudml.org/doc/92670>.

@article{Guesnet2001,
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 - Informatique Théorique et Applications},
keywords = {maximal circular code},
language = {eng},
number = {4},
pages = {351-365},
publisher = {EDP-Sciences},
title = {Maximal circular codes versus maximal codes},
url = {http://eudml.org/doc/92670},
volume = {35},
year = {2001},
}

TY - JOUR
AU - Guesnet, Yannick
TI - Maximal circular codes versus maximal codes
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 2001
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/92670
ER -

References

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  1. [1] J. Berstel and D. Perrin, Theory of Codes. Academic Press (1985). Zbl0587.68066MR797069
  2. [2] V. Bruyère, Codes, Dissertation présentée pour l’obtention de grade légal de docteur en sciences. Université de Mons-Hainaut (1991). 
  3. [3] V. Bruyère, On maximal codes with bounded synchronization delay. Theoret. Comput. Sci., 204 (1998) 11-28. Zbl0913.68160MR1637488
  4. [4] A. de Luca and A. Restivo, On some properties of very pure codes. Theoret. Comput. Sci., 10 (1980) 157-170. Zbl0421.68078MR551602
  5. [5] Y. Guesnet, On codes with finite interpreting delay: A defect theorem. Theoret. Informatics Appl., 34 (2000) 47-59. Zbl0978.94047MR1771129
  6. [6] Y. Guesnet, Codes et interprétations, Thèse de doctorat. Université de Rouen (2001). MR1879770
  7. [7] Y. Guesnet, On maximal codes with finite interpreting delay. Theoret. Comput. Sci., (to appear). Zbl1050.68040
  8. [8] M.P. Schützenberger, Une théorie algébrique du codage, in: Séminaire Dubreil-Pisot 1955-56 Institut H. Poincaré (1956), Exposé n15. MR75169

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