Design theory
Maximal partial spreads and transversal-free translation nets
Journal of Combinatorial Theory Series A
On the size of a maximal partial spread
Designs, Codes and Cryptography
Classification of spreads of PG(3, 4)\PG(3, 2)
Designs, Codes and Cryptography
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
Some New Maximal Sets of Mutually Orthogonal Latin Squares
Designs, Codes and Cryptography
A note on maximal partial spreads with deficiency q + 1, q even
Journal of Combinatorial Theory Series A
The Non-Existence of Maximal Sets of Four Mutually Orthogonal Latin Squares of Order 8
Designs, Codes and Cryptography
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The maximal partial spreads of PG(3,4) were recently classified by Leonard Soicher. Each such partial spread (with r lines, say) yields a translation net of order 16 and degree r and hence a set of r-2 mutually orthogonal Latin squares of order 16. We determine which of these nets are transversal-free. In particular, we obtain sets of t MAXMOLS(16) for two previously unknown cases, namely for t = 9 and 10.