The last two perfect Mendelsohn designs with block size 5

Griggs, Terry S. and Kozlik, Andrew R. (2020). The last two perfect Mendelsohn designs with block size 5. Journal of Combinatorial Designs (Early Access).

DOI: https://doi.org/10.1002/jcd.21749

Abstract

We complete the existence spectrum of perfect Mendelsohn designs PMD (v, 5 ) as v ≡ 0, 1 (mod 5), v ≠ 6, 10 by exhibiting previously unknown designs PMD (15, 5) and PMD (20, 5).

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