Bence Csajbók: MRD codes with maximum idealizers

Left and right idealizers are important invariants of linear rank metric codes.
In case of n×n MRD codes over GF(q) the idealizers have been proved to
be isomorphic to finite fields of size at most q^n. Up to now, the
only known MRD codes with maximum left and right idealizers are the
generalized Gabidulin codes. I present some new constructions and
classification results. It turned out that the existence of such codes
is strongly related to some classical results from finite geometry and
finite field theory.

This is a joint work with Olga Polverino, Giuseppe Marino and Yue Zhou.