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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.CO2016
On coordinatising planes of prime power order using finite fields
Robert S. Coulter
We revisit the coordinatisation method for projective planes. First, we discuss how the behaviour of the additive and multiplicative loops can be described in terms of its action o…