6 citations · 9 across the 4 of their papers we have counts for
6 papers
The non-synchronizing primitive groups of degree up to 624
Leonard H. Soicher
We describe the methods and results of a classification of the non-synchronizing primitive permutation groups of degree up to 624. We make use of theory and computation to determin…
Uniform semi-Latin squares and their pairwise-variance aberrations
R. A. Bailey, Leonard H. Soicher
For integers and , an semi-Latin square is an array of -subsets (called blocks) of an -set (of treatments), such that each treatment o…
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…
There is No McLaughlin Geometry
Patric R. J. Östergård, Leonard H. Soicher
We determine that there is no partial geometry with parameters . The existence of such a geometry has been a challenging open problem of interest to re…
On the clique number of a strongly regular graph
Gary R. W. Greaves, Leonard H. Soicher
We determine new upper bounds for the clique numbers of strongly regular graphs in terms of their parameters. These bounds improve on the Delsarte bound for infinitely many feasibl…
The uniqueness of a distance-regular graph with intersection array {32,27,8,1;1,4,27,32} and related results
Leonard H. Soicher
It is known that, up to isomorphism, there is a unique distance-regular graph with intersection array {32,27;1,12} (equivalently, is the unique strongly regular graph with…