The family of t-designs. II

DOI10.1016/0378-3758(83)90019-8zbMath0508.62068OpenAlexW4238561196MaRDI QIDQ1838009

Sanpei Kageyama, A. S. Hedayat

Publication date: 1983

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(83)90019-8

zbMATH Keywords

tablesunsolved problemsreviewexamplest-designsaffine d- resolvability

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of block designs (05B05) Statistical block designs (62K10) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (12)

On the structure of (v,k,t) trades ⋮ A survey of some problems in combinatorial designs - a matrix approach ⋮ Universal optimality of ue 3-designs for a competing effects model ⋮ Quasi-symmetric 2,3,4-designs ⋮ An \(S_ 3(3,5,21)\) using graphs ⋮ Partially balanced t-designs ⋮ Unnamed Item ⋮ Dualizing with respect to s-tuples ⋮ The family of block designs with some combinatorial properties ⋮ Robustness of some balanced block designs ⋮ Characterization of singular balanced fractional s^mfactorial designs derivable from balanced arrays with maximum number of constraints ⋮ On mu-resolvable BIB designs

Cites Work

• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• A construction of disjoint Steiner triple systems
• Ovals in projective designs
• The (16,6,2) designs
• The trade-off method in the construction of BIB designs with variable support sizes
• 2-designs having an intersection number \(k-n\)
• On projective and affine hyperplanes
• The family of t-designs. Part I
• A note on the construction of certain BIB designs
• On the mutual embeddability of (2k, k, k-1) and (2k - 1,k,k) quasi- residual designs
• An algebraic study of BIB designs: a complete solution for v=6 and k=3
• t-designs from the large Mathieu groups
• The nonexistence of a certain Steiner system S(3,12,112)
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• A theorem on the maximum number of disjoint Steiner triple systems
• On the BIB design having the minimum p-rank
• Non-existence d'un 3-design de paramètres \(\lambda=2\), \(k=5\) et \(v=11\)
• Two remarks on Steiner systems
• Resolvability of block designs
• On t-designs
• On some \(t\)-\((2k,k,\lambda)\) designs
• Ranks of incidence matrices of Steiner triple systems
• The four biplanes with k=9
• Steiner quadruple systems - a survey
• A note on partial parallel classes in Steiner systems
• The four known biplanes with k=11
• Intersection triangles and block intersection numbers of Steiner systems
• Intersections among Steiner systems
• Some mutually disjoint Steiner systems
• On the maximum number of disjoint triple systems
• Non-existence of Steiner systems of type S(d-1, d, 2d)
• An extension of a theorem of the Bruijn and Erdős on combinatorial designs
• On the construction of certain Hadamard designs
• Block intersections in quasiresidual designs
• On collineation groups of symmetric block designs
• Symmetric designs and related configurations
• An infinite class of 5-designs
• Biplanes
• On \(\mu\)-resolvable and affine \(\mu\)-resolvable balanced incomplete block designs
• Nonisomorphic Steiner triple systems
• On the maximum number of disjoint Steiner triple systems
• Strongly regular graphs, partial geometries and partially balanced designs
• Balanced Incomplete Block Designs and Tactical Configurations
• Uniqueness of the Projective Plane of Order Eight
• A Table of Difference Sets Generating Balanced Incomplete Block Designs
• Intersection Properties of Steiner Systems
• Extremal Results and Configuration Theorems for Steiner Systems
• An Updated Bibliography and Survey of Steiner Systems
• A Survey of Derived Triple Systems
• Construction of Large Sets of Almost Disjoint Steiner Triple Systems
• Some New 5-Designs
• A new construction of the block systems B(4,1,25) and B(4,1, 28)
• ON TIGHT DESIGNS
• On the construction of non-isomorphic Steiner quadruple systems
• Some new constructions of 4-tuple systems
• Disjoint Steiner systems associated with the Mathieu groups
• On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry
• A Theorem on Steiner Systems
• Square λ-Linked Designs
• Strongly Regular Graphs Derived from Combinatorial Designs
• Constructions of Disjoint Steiner Triple Systems
• A Survey of Resolvable Solutions of Balanced Incomplete Block Designs
• The Non-Existence of Certain Affine Resolvable Balanced Incomplete Block Designs
• The Impossibility of Fano's Configuration in a Projective Plane with Eight Points Per Line
• An Embedding Theorem for Balanced Incomplete Block Designs
• Correction to "Uniqueness of the Projective Plane with 57 Points"
• Hadamard matrices and their applications
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