Using the Bruck-Ryser-Chowla theorem and the identity $v\lambda= k^2-n$ it is proved that, for any $(v,k,\lambda)$ symmetric design of order $n\equiv 2\pmod 4$, $v\equiv \pm 1\pmod 8$.
On a property of symmetric designs of order n = 2 (mod 4)
BURATTI, Marco
1989
Abstract
Using the Bruck-Ryser-Chowla theorem and the identity $v\lambda= k^2-n$ it is proved that, for any $(v,k,\lambda)$ symmetric design of order $n\equiv 2\pmod 4$, $v\equiv \pm 1\pmod 8$.File in questo prodotto:
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