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International Colloquium on Theoretical Aspects of Computing

ICTAC 2006: Theoretical Aspects of Computing - ICTAC 2006 pp 213–227Cite as

Prime Decomposition Problem for Several Kinds of Regular Codes

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 4281)

Abstract

Given a class C of codes. A regular code in C is called prime if it cannot be decomposed as a catenation of at least two non-trivial regular codes in C. The prime decomposition problem for the class C of codes consists in decomposing regular codes in C into prime factors in C. In this paper, a general approach to this problem is proposed, by means of which solutions for the prime decomposition problem are obtained, in a unified way, for several classes of codes. These classes are all subclasses of prefix codes and can be defined by binary relations.

Keywords

  • Code
  • invariant relation
  • prime decomposition problem

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Author information

Authors and Affiliations

  1. Hanoi Pedagogical University No. 2, Vietnam

    Kieu Van Hung

  2. Institute of Mathematics, VAST, Vietnam

    Do Long Van

Authors
  1. Kieu Van Hung
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  2. Do Long Van
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Editor information

Editors and Affiliations

  1. Laboratoire CEDRIC, Conservatoire National des Arts et Métiers, 192 rue Saint Martin, Paris Cedex 03, France

    Kamel Barkaoui

  2. Department of Computer Science, University of York, York, UK

    Ana Cavalcanti

  3. UNU-IIST, Macau SAR, China

    Antonio Cerone

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© 2006 Springer-Verlag Berlin Heidelberg

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Van Hung, K., Van, D.L. (2006). Prime Decomposition Problem for Several Kinds of Regular Codes. In: Barkaoui, K., Cavalcanti, A., Cerone, A. (eds) Theoretical Aspects of Computing - ICTAC 2006. ICTAC 2006. Lecture Notes in Computer Science, vol 4281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11921240_15

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  • DOI: https://doi.org/10.1007/11921240_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-48815-6

  • Online ISBN: 978-3-540-48816-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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