Math @ Duke

Publications [#236019] of Robert Calderbank
Papers Published
 Calderbank, AR, Geometric invariants for quasisymmetric designs,
Journal of Combinatorial Theory, Series A, vol. 47 no. 1
(1988),
pp. 101110, ISSN 00973165
(last updated on 2018/08/15)
Abstract: Let p be an odd prime. We derive new necessary conditions for the existence of 2  (ν, k, λ) designs where the block intersection sizes s1, s2, ..., sn satisfy s1 ≡ s2 ≡ ... ≡ sn (mod p). The method is to define a nondegenerate scalar product on a 2mdimensional vector space and to construct an mdimensional totally singular subspace. This result is a generalization to nonsymmetric designs of the BruckRyserChowla theorem. © 1988.


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