38 citations · 106 across the 29 of their papers we have counts for
4 papers · 1 filter
On the geometry of tensor products over finite fields
Stefano Lia, John Sheekey
In this paper we study finite dimensional algebras, in particular finite semifields, through their correspondence with nonsingular threefold tensors. We introduce a alternative emb…
Cyclic 2-Spreads in and Flag-Transitive Affine Linear Spaces
Cian Jameson, John Sheekey
In this paper we completely classify spreads of 2-dimensional subspaces of a 6-dimensional vector space over a finite field of characteristic not two or three upon which a cyclic g…
On Translation Hyperovals in Semifield Planes
Kevin Allen, John Sheekey
In this paper we demonstrate the first example of a finite translation plane which does not contain a translation hyperoval, disproving a conjecture of Cherowitzo. The counterexamp…
On MSRD codes, h-designs and disjoint maximum scattered linear sets
Paolo Santonastaso, John Sheekey
In this paper we study geometric aspects of codes in the sum-rank metric. We establish the geometric description of generalised weights, and analyse the Delsarte and geometric dual…