Bruck-Ryser-Chowla theorem English

Meaning Bruck-Ryser-Chowla theorem meaning

What does Bruck-Ryser-Chowla theorem mean?

Bruck-Ryser-Chowla theorem properNoun

— (math) A result on the combinatorics of block designs, stating that, if a (v, b, r, k, λ)-design exists with v = b (a symmetric block design), then: (i) if v is even, then k − λ is a square; (ii) if v is odd, then the following Diophantine equation has a nontrivial solution: x2 − (k − λ)y2 − (−1)(v−1)/2 λ z2 = 0.