Partitions of difference sets and code synchronization

  • Authors:

  • Vladimir D. Tonchev

  • Affiliations:

  • Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan

  • Venue:
  • AMCOS'05 Proceedings of the 4th WSEAS International Conference on Applied Mathematics and Computer Science
  • Year:
  • 2005

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Abstract

Difference systems of sets can be used to transform an arbitrary linear code to a coset of a linear code with a given comma-free index by means of a minimal increase of its length. The paper discusses some constructions of difference systems of sets obtained from cyclic difference sets and finite geometry.