On Macula's error-correcting pool designs

  • Authors:
  • F. K. Hwang

  • Affiliations:
  • Department of Applied Mathematics, National Chiao Tung University, Hsin-chu 30050, Taiwan, ROC

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2003

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Abstract

We show that Macula's claim of a Hamming distance 4 between any two candidate sets of positive clones in his pool design is incorrect. However, a previous proof of his on a weaker result (with a condition on design parameters) is correct. We also show that the condition is sharp and the distance 4 result is also sharp for arbitrary parameter values.