We construct, in a very simple way, two new classes of elementary abelian $(q^2,k,k-1)$ and $(q^2,k+1,k+1)$ difference families with $k$ a multiple of $q-1$. The first of these classes contains, as special cases, the supplementary difference systems constructed by A. Chaderjian [J. Combin. Theory Ser. A 80 (1997), no. 2, 218--231].

Two new classes of difference families

BURATTI, Marco
2000

Abstract

We construct, in a very simple way, two new classes of elementary abelian $(q^2,k,k-1)$ and $(q^2,k+1,k+1)$ difference families with $k$ a multiple of $q-1$. The first of these classes contains, as special cases, the supplementary difference systems constructed by A. Chaderjian [J. Combin. Theory Ser. A 80 (1997), no. 2, 218--231].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11391/22772
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