Non-trivial t-designs without repeated blocks exist for all t
Discrete Mathematics
Combinatorial configurations, designs, codes, graphs
Combinatorial configurations, designs, codes, graphs
2-Transitive and flag-transitive designs
Proceedings of the Marshall Hall conference on Coding theory, design theory, group theory
Finite geometries
Combinatorial theory (2nd ed.)
Combinatorial theory (2nd ed.)
The classification of finite linear spaces with flag-transitive automorphism groups of affine type
Journal of Combinatorial Theory Series A
Classification of flag-transitive Steiner quadruple systems
Journal of Combinatorial Theory Series A
Handbook of Coding Theory
Designs, Graphs, Codes, and Their Links
Designs, Graphs, Codes, and Their Links
On finite linear spaces with almost simple flag-transitive automorphism groups
Journal of Combinatorial Theory Series A
Simple non-trivial designs with an arbitrary automorphism group
Journal of Combinatorial Theory Series A
Combinatorial Designs: Constructions and Analysis
Combinatorial Designs: Constructions and Analysis
Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics)
Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics)
Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)
Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)
Authentication Codes and Combinatorial Designs (Discrete Mathematics and Its Applications)
Authentication Codes and Combinatorial Designs (Discrete Mathematics and Its Applications)
The classification of flag-transitive Steiner 4-designs
Journal of Algebraic Combinatorics: An International Journal
A census of highly symmetric combinatorial designs
Journal of Algebraic Combinatorics: An International Journal
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One of the most central and long-standing open questions in combinatorial design theory concerns the existence of Steiner t -designs for large values of t . Although in his classical 1987 paper, L. Teirlinck has shown that non-trivial t -designs exist for all values of t , no non-trivial Steiner t -design with t 5 has been constructed until now. Understandingly, the case t = 6 has received considerable attention. There has been recent progress concerning the existence of highly symmetric Steiner 6-designs: It is shown in [M. Huber, J. Algebr. Comb. 26 (2007), pp. 453---476] that no non-trivial flag-transitive Steiner 6-design can exist. In this paper, we announce that essentially also no block-transitive Steiner 6-design can exist.