Research 

Research Interest:

My research focuses on Algebraic Coding Theory, more precisely on the study of rank-metric codes and the relations between q-polymatroids and rank metric codes. 

A Rank metric codes is a subspace of the metric space of (n x m)-matrices over a finite field. The metric associtated is that space is the rank metric. In recent years rank metric codes have been of prime interest for coding theorists because of their application to network coding. 

q-Polymatroids are defined from a bounded, nondecreasing and submodular function on the collection of subspaces of a finite dimensional vector space over a finite field. It was recently shown that rank metric codes induce such q-polymatroids. It turns out many rank code invariants, such as the rank distance, the generalized weights or the rank weight enumerator, are fully determined by the code's induced q-polymatroid.