Explicit Constructions of Rödl's Asymptotically Good Packings and Coverings

  • Authors:
  • N. N. Kuzjurin

  • Affiliations:
  • Institute for System Programming, Russian Academy of Sciences, B. Kommunisticheskaya, 25, 109004 Moscow, Russia (e-mail: nnkuz@ispras.ru)

  • Venue:
  • Combinatorics, Probability and Computing
  • Year:
  • 2000

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Abstract

For any fixed l k we present families of asymptotically good packings and coverings of the l-subsets of an n-element set by k-subsets, and an algorithm that, given a natural number i, finds the ith k-subset of the family in time and space polynomial in log n.