Abstract
Simplified pooling designs employ rows, columns, and principal diagonals from square and rectangular plates. The requirement that every two samples be tested together in exactly one pool leads to a novel combinatorial configuration: The union jack design. Existence of union jack designs is settled affirmatively whenever the ordern is a prime andn≡3 (mod 4).
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Chateauneuf, M.A., Colbourn, C.J., Kreher, D.L. et al. Pooling, lattice square, and union jack designs. Annals of Combinatorics 3, 27–35 (1999). https://doi.org/10.1007/BF01609872
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DOI: https://doi.org/10.1007/BF01609872