Transversals in Row-Latin Rectangles

@article{Drisko1998TransversalsIR,
  title={Transversals in Row-Latin Rectangles},
  author={Arthur A. Drisko},
  journal={J. Comb. Theory, Ser. A},
  year={1998},
  volume={84},
  pages={181-195}
}
It is shown that an m_n row-latin rectangle with symbols in [1, 2, ..., k], k n, has a transversal whenever m 2n&1, and that this lower bound for m is sharp. Several applications are given. One is the construction of mappings which are generalizations of complete mappings. Another is the proof of a conjecture of Dillon on the existence of difference sets in groups of order 2 with elementary abelian normal subgroups of order 2. 1998 Academic Press 

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