Browsing by Author "Lavrauw, Michel"

Now showing items 1-5 of 5

    • Arcs and tensors 

      Ball, Simeon Michael; Lavrauw, Michel (2019-08-01)
      Article
      Open Access
      To 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 ...

    • Arcs in finite projective spaces 

      Ball, Simeon Michael; Lavrauw, Michel (2019-11-23)
      Article
      Restricted access - publisher's policy
      This 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 policy
      This 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 Access
      Let $ C $ be a $ (n,q^{2k},n-k+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 (2018-11-01)
      Article
      Open Access
      Let 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 ...