Codes Identifying Sets of Vertices

  • Authors:
  • Tero Laihonen;Sanna Ranto

  • Affiliations:
  • -;-

  • Venue:
  • AAECC-14 Proceedings of the 14th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
  • Year:
  • 2001

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Abstract

We consider identifying and strongly identifying codes. Finding faulty processors in a multiprocessor system gives the motivation for these codes. Constructions and lower bounds on these codes are given.We provide two infinite families of optimal (1, 驴 2)-identifying codes, which can find malfunctioning processors in a binary hypercube F2n. Also two infinite families of optimal codes are given in the corresponding case of strong identification. Some results on more general graphs are as well provided.