Browsing by Author "Lavrauw, Michel"
Now showing items 15 of 5

Arcs and tensors
Ball, Simeon Michael; Lavrauw, Michel (20190801)
Article
Open AccessTo an arc A of PG(k1,q) of size q+k1t we associate a tensor in ¿¿k,t(A)¿¿k1 , where ¿k,t denotes the Veronese map of degree t defined on PG(k1,q) . As a corollary we prove that for each arc A in PG(k1,q) of size ... 
Arcs in finite projective spaces
Ball, Simeon Michael; Lavrauw, Michel (20191123)
Article
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 ... 
Commutative semifields of rank 2 over their middle nucleus
Ball, Simeon Michael; Lavrauw, Michel (Springer, 2001)
Conference lecture
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 ... 
On additive MDS codes over small fields
Ball, Simeon Michael; Gamboa Jimenez, Gonzalo; Lavrauw, Michel (American Institute of Mathematical Sciences, 2022)
Article
Open AccessLet $ C $ be a $ (n,q^{2k},nk+1)_{q^2} $ additive MDS code which is linear over $ {\mathbb F}_q $. We prove that if $ n \geq q+k $ and $ k+1 $ of the projections of $ C $ are linear over $ {\mathbb F}_{q^2} $ then $ C $ ... 
Planar arcs
Ball, Simeon Michael; Lavrauw, Michel (20181101)
Article
Open AccessLet 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 ...