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

DOI10.1016/j.jcta.2008.04.005zbMath1159.05302OpenAlexW2141393926WikidataQ56061393 ScholiaQ56061393MaRDI QIDQ958759

Olli Pottonen, Patric R. J. Östergård

Publication date: 8 December 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2008.04.005

zbMATH Keywords

Steiner systemderived designexact cover problem

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items (4)

On the Possible Automorphism Groups of a Steiner Quintuple System of Order 21 ⋮ Point-missing \(s\)-resolvable \(t\)-designs: infinite series of 4-designs with constant index ⋮ Bussey systems and Steiner's tactical problem ⋮ Extremal set theory and LWE based access structure hiding verifiable secret sharing with malicious-majority and free verification

Uses Software

• nauty
• libexact

Cites Work

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• The Steiner quadruple systems of order 16
• Extending AG(4, 2) to S(4, {5, 6}, 17)
• Proper S(t, K,v)'s for t ≥ 3,v ≤ 16, |K| > 1 and Their Extensions
• The Steiner triple systems of order 19

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