Prime decompositions of regular prefix codes

  • Authors:
  • Jurek Czyzowicz;Wojciech Fraczak;Andrzej Pelc;Wojciech Rytter

  • Affiliations:
  • Dé/partement d'informatique, Université/ du Qué/bec en Outaouais, Canada;Solidum Systems Corp, Ottawa, Canada and Dé/partement d'informatique, Universit7eacute/ du Qué/bec en Outaouais, Canada;Dé/partement d'informatique, Université/ du Qué/bec en Outaouais, Canada;Instytut Informatyki, Universytet Warszawski, Poland and Department of Computer Science, Liverpool University U.K.

  • Venue:
  • CIAA'02 Proceedings of the 7th international conference on Implementation and application of automata
  • Year:
  • 2002

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Abstract

One of the new approaches to data classification uses finite state automata for representation of prefix codes. An important task driven by the need for the efficient storage of such automata in memory is the decomposition of prefix codes into prime factors. We investigate properties of such prefix code decompositions. A linear time algorithm is designed which finds the prime decomposition F1F2... Fk of a regular prefix code F given by its minimal deterministic automaton.