Exploració per autor "Zemor, Gilles"
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An analogue of Vosper's theorem for extension fields
Bachoc, Christine; Serra Albó, Oriol; Zemor, Gilles (2017-11-01)
Article
Accés obertWe 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
Accés restringit per política de l'editorialWe 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
Accés obertA 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 ...