Publications [#235804] of Robert Calderbank

Journal articles or Book chapters PUBLISHED

1. Calderbank, AR; Frankl, P, Binary codes and quasi-symmetric designs, Discrete Mathematics, vol. 83 no. 2-3 (August, 1990), pp. 201-204, Elsevier BV, ISSN 0012-365X [doi]
   (last updated on 2026/01/17)

   Abstract:
   We obtain a new necessary condition for the existence of a 2-(υ, k, λ) design where the block intersection sizes s1,s2,...,sn satisfy s1≡s2≡...≡sn≡s( mod 2). This condition eliminates quasi-symmetric 2-(20, 10, 18) and 2-(60, 30, 58) designs. Quasi-symmetric 2- (20, 8, 14) designs are eliminated by an ad hoc coding theoretic argument. © 1990.