On Macula's error-correcting pool designs

@article{Hwang2003OnME,
  title={On Macula's error-correcting pool designs},
  author={Frank K. Hwang},
  journal={Discrete Mathematics},
  year={2003},
  volume={268},
  pages={311-314}
}
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. c © 2003 Elsevier Science B.V. All rights reserved. 

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