Browsing by Author "Lavrauw, Michel"
Ball, Simeon Michael; Lavrauw, Michel (2019-08-01)
Open AccessTo an arc A of PG(k-1,q) of size q+k-1-t we associate a tensor in ¿¿k,t(A)¿¿k-1 , where ¿k,t denotes the Veronese map of degree t defined on PG(k-1,q) . As a corollary we prove that for each arc A in PG(k-1,q) of size ...
Ball, Simeon Michael; Lavrauw, Michel (2019-11-23)
Restricted access - publisher's policyThis is an expository article detailing results concerning large arcs in finite projective spaces. It is not strictly a survey but attempts to cover the most relevant results on arcs, simplifying and unifying proofs of ...
Ball, Simeon Michael; Lavrauw, Michel (Springer, 2001)
Restricted access - publisher's policyThis article is about finite commutative semifields that are of rank 2 over their middle nucleus, the largest subset of elements that is a finite field. These semifields have a direct correspondence to certain flocks of ...
Ball, Simeon Michael; Lavrauw, Michel (2018-11-01)
Restricted access - publisher's policyLet p denote the characteristic of , the finite field with q elements. We prove that if q is odd then an arc of size in the projective plane over , which is not contained in a conic, is contained in the intersection of two ...