Section: New Results
Reed–Solomon-Gabidulin Codes
Participant : Xavier Caruso.
In [31], X. Caruso and A. Durand define
a new family of linear codes which is a common generalization
of Reed–Solomon codes on the one hand and Gabidulin codes on
the other hand. Their construction works over an arbitrary field
(not necessarily finite) equipped with an automorphism of finite
order and a twisted derivation whose subfield of constants is
sufficiently large. This setting allows for example the base
field to be