Math @ Duke
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Publications [#235804] of Robert Calderbank
Papers Published
- 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 2025/02/21)
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.
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