L. H. Soicher

activity

20162020

most citedSubstitutes for the non-existent square lattice designs for 36 varieties

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.ST2020

Uniform semi-Latin squares and their pairwise-variance aberrations

R. A. Bailey, Leonard H. Soicher

For integers $n > 2$ and $k > 0$ , an $(n \times n) / k$ semi-Latin square is an $n \times n$ array of $k$ -subsets (called blocks) of an $nk$ -set (of treatments), such that each treatment o…

stat.ME2019★ 1 cited

Substitutes for the non-existent square lattice designs for 36 varieties

R. A. Bailey, Peter J. Cameron, L. H. Soicher +1

Square lattice designs are often used in trials of new varieties of various agricultural crops. However, there are no square lattice designs for 36 varieties in blocks of size six…

math.CO2016

There is No McLaughlin Geometry

Patric R. J. Östergård, Leonard H. Soicher

We determine that there is no partial geometry $G$ with parameters $(s, t, α) = (4, 27, 2)$ . The existence of such a geometry has been a challenging open problem of interest to re…