The entropy of traces in parallel computation

  • Authors:
  • R. Manohar

  • Affiliations:
  • Sch. of Electr. Eng., Cornell Univ., Ithaca, NY

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

The following problem arises in the context of parallel computation: how many bits of information are required to specify any one element from an arbitrary (non-empty) k-subset of a set? We characterize optimal coding techniques for this problem. We calculate the asymptotic behavior of the amount of information necessary, and construct an algorithm that specifies an element from a subset in an optimal manner