12 papers
Near-factorizations of dihedral groups
Donald L. Kreher, Maura B. Paterson, Douglas R. Stinson
We investigate near-factorizations of nonabelian groups, concentrating on dihedral groups. We show that some known constructions of near-factorizations in dihedral groups yield equ…
Strong External Difference Families and Classification of -valuations
Donald L. Kreher, Maura B. Paterson, Douglas R. Stinson
One method of constructing -SEDFs (i.e., strong external difference families) in makes use of -valuations of complete bipartite graphs $K_{…
Nestings of BIBDs with block size four
Marco Buratti, Donald L. Kreher, Douglas R. Stinson
In a nesting of a balanced incomplete block design (or BIBD), we wish to add a point (the \emph{nested point}) to every block of a -BIBD in such a way that we end up with…
A method of constructing pairwise balanced designs containing parallel classes
Douglas R. Stinson
The obvious way to construct a GDD (group-divisible design) recursively is to use Wilson's Fundamental Construction for GDDs (WFC). Then a PBD (pairwise balanced design) is often o…
On min-base palindromic representations of powers of 2
Donald L. Kreher, Douglas R. Stinson
A positive integer is \emph{palindromic in the base } when , ,and , Focusing on powers of 2, we investig…
Circular external difference families, graceful labellings and cyclotomy
Maura B. Paterson, Douglas R. Stinson
(Strong) circular external difference families (which we denote as CEDFs and SCEDFs) can be used to construct nonmalleable threshold schemes. They are a variation of (strong) exter…