41 citations · 46 across the 3 of their papers we have counts for
3 papers
cs.IT2017★ 2 cited
Generalized Gabidulin codes over fields of any characteristic
Daniel Augot, Pierre Loidreau, Gwezheneg Robert
We generalise Gabidulin codes to the case of infinite fields, eventually with characteristic zero. For this purpose, we consider an abstract field extension and any automorphism in…
cs.DM2006★ 41 cited
Properties of codes in rank metric
P. Loidreau
We study properties of rank metric and codes in rank metric over finite fields. We show that in rank metric perfect codes do not exist. We derive an existence bound that is the equ…
cs.IT2006★ 3 cited
Properties of subspace subcodes of optimum codes in rank metric
E. M. Gabidulin, P. Loidreau
Maximum rank distance codes denoted MRD-codes are the equivalent in rank metric of MDS-codes. Given any integer power of a prime and any integer there is a family of MRD-co…