Design theory
Nonexistence of Ovoides in &OHgr;+(10,3)
Journal of Combinatorial Theory Series A
Maximal partial spreads and transversal-free translation nets
Journal of Combinatorial Theory Series A
Maximal sets of mutually orthogonal Latin squares
FFA '95 Proceedings of the third international conference on Finite fields and applications
Maximal sets of mutually orthogonal Latin squares
Discrete Mathematics
Maximal partial spreads in PG(3,4) and maximal sets of mutually orthogonal Latin squares of order 16
Discrete Mathematics - Papers on the occasion of the 65th birthday of Alex Rosa
Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)
Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)
The Non-Existence of Maximal Sets of Four Mutually Orthogonal Latin Squares of Order 8
Designs, Codes and Cryptography
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Two ways of constructing maximal sets of mutually orthogonal Latin squares are presented.The first construction uses maximal partial spreads in PG(3, 4) \ PG(3, 2) with r lines, where r ∈ {6, 7}, to construct transversal-free translation nets of order 16 and degree r + 3 and hence maximal sets of r + 1 mutually orthogonal Latin squares of order 16. Thus sets of t MAXMOLS(16) are obtained for two previously open cases, namely for t = 7 and t = 8.The second one uses the (non)existence of spreads and ovoids of hyperbolic quadrics Q+ (2m + 1, q), and yields infinite classes of q2n − 1 − 1 MAXMOLS(q2n), for n ≥ 2 and q a power of two, and for n = 2 and q a power of three.