Block designs with repeated blocks

Block designs with repeated blocks

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Variance Balanced Block Designs with Repeated Blocks

Some construction methods of the variance balanced block designs with repeated blocks are given. They are based on the incidence matrices of the balanced incomplete block designs with repeated blocks.

On balanced incomplete-block designs with repeated blocks

Balanced incomplete-block designs (BIBDs) with repeated blocks are studied and constructed. We continue work initiated by van Lint and Ryser in 1972 and pursued by van Lint in 1973. We concentrate on constructing (v, b, r, k, λ)-BIBDs with repeated blocks, especially those with gcd(b, r, λ) = 1 and r ≤ 20. We obtain new bounds for the multiplicity of a block in terms of the parameters of a BIBD...

Remarks on Bib Designs with Repeated Blocks By

On the size of partial block designs with large blocks

A t − (n, k, ) design is a k-uniform hypergraph with the property that every set of t vertices is contained in exactly of the edges (blocks). A partial t − (n, k, ) design is a k-uniform hypergraph with the property that every set of t vertices is contained in at most edges; or equivalently the intersection of every set of + 1 blocks contains fewer than t elements. Let us denote by f (n, k, t) ...