On the structure of (v,k,t) trades

DOI10.1016/0378-3758(86)90131-XzbMath0593.62071OpenAlexW2063211067MaRDI QIDQ1076463

H. L. Hwang

Publication date: 1986

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(86)90131-x

zbMATH Keywords

t-designsminimum volume(v,k,t) tradefoundation of the trade

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Statistical block designs (62K10)

Related Items

Some results on defining sets of t-designs ⋮ Minimum supports of eigenfunctions of graphs: a survey ⋮ BIB(9,18t,8t,4,3t) designs with repeated blocks ⋮ Minimum supports of eigenfunctions of Johnson graphs ⋮ On trades and designs ⋮ On the bases of trades ⋮ Further characterization of basic trades ⋮ The minimum volume of subspace trades ⋮ Results on the support of BIB designs ⋮ On minimal defining sets of full designs and self-complementary designs, and a new algorithm for finding defining sets of \(t\)-designs ⋮ Unnamed Item ⋮ To the theory of \(q\)-ary Steiner and other-type trades ⋮ On the spectrum of simple \(T(2,3,v)\) trades ⋮ Optimal functions with spectral constraints in hypercubes ⋮ Inclusion matrices for rainbow subsets ⋮ Unnamed Item ⋮ Eigenfunctions and minimum 1-perfect bitrades in the Hamming graph ⋮ On the existence of \(d\)-homogeneous \(\mu\)-way \((v, 3, 2)\) Steiner trades ⋮ Some new 6-(14, 7, 4) designs ⋮ On existence of perfect bitrades in Hamming graphs ⋮ On the volumes and affine types of trades ⋮ On the 3-way \((v,k,2)\) Steiner trades ⋮ A computer algorithm for generating 3-designs by the method of trade off ⋮ On the spectrum of \([v,k,t\) trades]

Cites Work

• Construction of BIB designs with various support sizes - with special emphasis for \(v=8\) and \(k=4\)
• BIB(8,56,21,3,6) and BIB(10,30,9,3,2) designs with repeated blocks
• The trade-off method in the construction of BIB designs with variable support sizes
• The family of t-designs. Part I
• An algebraic study of BIB designs: a complete solution for v=6 and k=3
• Complete designs with blocks of maximal multiplicity
• The family of t-designs. II
• The module structure of integral designs
• Combinatorial Topology and the Trade Off Method in Bib Designs
• On the Structure oft-Designs

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