The nonexistence of a certain Steiner system S(3,12,112)

DOI10.1016/0097-3165(81)90019-4zbMath0472.05016OpenAlexW2036858635MaRDI QIDQ1158158

N. J. A. Sloane, John G. Thompson

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0097-3165(81)90019-4

zbMATH Keywords

projective planeFrobenius grouperror connecting codes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Steiner systems in finite geometry (51E10) Combinatorial aspects of finite geometries (05B25)

Related Items (3)

Partial geometric designs with prescribed automorphisms ⋮ The family of t-designs. II ⋮ Some of the finite projective planes

Cites Work

• Planes of order 10 do not have a collineation of order 5
• Collineations of projective planes of order 10, part II
• Blocking sets and complete k-arcs
• p-solvable doubly transitive permutation groups
• On the existence of a projective plane of order 10
• An Updated Bibliography and Survey of Steiner Systems
• Non-existence of a certain projective plane
• Endliche Gruppen I
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