Science Fair Project Encyclopedia
Bruck-Chowla-Ryser theorem
The Bruck-Chowla-Ryser theorem is a result on the combinatorics of block designs. It states that if a (v; k; λ) design exists, then:
- k − λ is a square,
when v is even; and the diophantine equation
- x2 − (k − λ)y2 − (−1)(v−1)/2 λ z2 = 0
has a nontrivial solution, when v is odd.
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details