Now showing items 1-3 of 3

    • An analogue of Vosper's theorem for extension fields 

      Bachoc, Christine; Serra Albó, Oriol; Zemor, Gilles (2017-11-01)
      Article
      Open Access
      We are interested in characterising pairs S, T of F-linear subspaces in a field extension L/F such that the linear span ST of the set of products of elements of S and of elements of T has small dimension. Our central result ...
    • Cycle codes of graphs and MDS array codes 

      Serra Albó, Oriol; Zemor, Gilles (2009-07-30)
      Article
      Restricted access - publisher's policy
      We investigate how to colour edges of graph so that any two colours make up a spanning tree. This problem is equivalent to transforming the cycle code of a graph into a Maximum Distance Separable (MDS) array code. Adopting ...
    • Revisiting Kneser’s theorem for field extensions 

      Bachoc, Christine; Serra Albó, Oriol; Zemor, Gilles (2017-05-31)
      Article
      Open Access
      A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions, and it was a conjecture of Hou that it should be valid for all ...