Math @ Duke

Publications [#235808] of Robert Calderbank
Papers Published
 Blokhuis, A; Calderbank, AR, Quasisymmetric designs and the Smith Normal Form,
Designs, Codes and Cryptography, vol. 2 no. 2
(1992),
pp. 189206, ISSN 09251022 [doi]
(last updated on 2018/10/19)
Abstract: We obtain necessary conditions for the existence of a 2  (ν, k, λ) design, for which the block intersection sizes s1, s2, ..., snsatisfy s1 ≡ s2 ≡ ... ≡ sn ≡ s (mod pe),where p is a prime and the exponent e is odd. These conditions are obtained from restriction on the Smith Normal Form of the incidence matrix of the design. We also obtain restrictions on the action of the automorphism group of a 2  (ν, k, λ) design on points and on blocks. © 1992 Kluwer Academic Publishers.


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