Abstract
In the first part of this article we determine the exact number of different reduced complete sets of mutually orthogonal latin squares (MOLS) of order q, for \(q = p^d\), p prime, \(d \ge 1\), corresponding to the Desarguesian projective planes PG(2, q). In the second part we provide some computational results and enumerate the maximal sets of reduced latin squares of order n as part of a set containing exactly r MOLS.
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Hicks, K.H., Mullen, G.L., Storme, L. et al. The number of different reduced complete sets of MOLS corresponding to PG \(\varvec{(2,q)}\). J. Geom. 109, 5 (2018). https://doi.org/10.1007/s00022-018-0410-x
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DOI: https://doi.org/10.1007/s00022-018-0410-x