3 papers
math.AC2016
Giesbrecht's algorithm, the HFE cryptosystem and Ore's -polynomials
Robert S. Coulter, George Havas, Marie Henderson
We report on a recent implementation of Giesbrecht's algorithm for factoring polynomials in a skew-polynomial ring. We also discuss the equivalence between factoring polynomials in…
math.CO2016
On the splitting case of a semi-biplane construction
Robert S. Coulter, Marie Henderson
We consider the case where a particular incidence structure splits into two substructures. The incidence structure in question was used previously by the authors to construct semi-…
math.CO2012
Subsets of finite groups exhibiting additive regularity
Robert S. Coulter, Todd Gutekunst
In this article we aim to develop from first principles a theory of sum sets and partial sum sets, which are defined analogously to difference sets and partial difference sets. We…