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JCT
2008

There exists no Steiner system S(4, 5, 17)

13 years 11 months ago
There exists no Steiner system S(4, 5, 17)
If a Steiner system S(4, 5, 17) exists, it would contain derived S(3, 4, 16) designs. By relying on a recent classification of the S(3, 4, 16), an exhaustive computer search for S(4, 5, 17) is carried out. The search shows that no S(4, 5, 17) exists, thereby ruling out the existence of Steiner systems S(t, t + 1, t + 13) for t 4. Key words: Derived design; Exact cover problem; Steiner system
Patric R. J. Östergård, Olli Pottonen
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2008
Where JCT
Authors Patric R. J. Östergård, Olli Pottonen
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