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DCC
2003
IEEE

Some New Maximal Sets of Mutually Orthogonal Latin Squares

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Some New Maximal Sets of Mutually Orthogonal Latin Squares
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.
Patrick Govaerts, Dieter Jungnickel, Leo Storme, J
Added 25 Dec 2009
Updated 25 Dec 2009
Type Conference
Year 2003
Where DCC
Authors Patrick Govaerts, Dieter Jungnickel, Leo Storme, Joseph A. Thas
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