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Bruck-Chowla-Ryser theorem

The Bruck-Chowla-Ryser theorem is a result on the combinatorics of designs. It states that if a (v; k; )- design exists, then:

k −  is a square,

when v is even; and the diophantine equation

x2 − (k − )y2 − (−1)(v−1)/2 = z2

has a nontrivial solution, when v is odd.

Referenced By

List of combinatorics topics | Sarvadaman Chowla

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Bruck-Chowla-Ryser theorem".

 

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