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ENDM
2006

There are exactly five biplanes with k=11

13 years 3 months ago
There are exactly five biplanes with k=11
A biplane is a 2-(k(k - 1)/2 + 1, k, 2) symmetric design. Only sixteen nontrivial biplanes are known: there are exactly nine biplanes with k < 11, at least five biplanes with k = 11, and at least two biplanes with k = 13. It is here shown by exhaustive computer search that the list of five known biplanes with k = 11 is complete. This result further implies that there exists no 3-(57, 12, 2) design, no 11211 symmetric configuration, and no (324, 57, 0, 12) strongly regular graph. The five biplanes have 16 residual designs, which by the Hall
Patric R. J. Östergård, Petteri Kaski
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2006
Where ENDM
Authors Patric R. J. Östergård, Petteri Kaski
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