On the Genericity of Maximum Rank Distance and Gabidulin Codes

Alessandro Neri, Anna-Lena Horlemann-Trautmann, Tovohery Randrianarisoa +1

We consider linear rank-metric codes in ${\mathbb{F}}_{q^m}^n$. We show that the properties of being MRD (maximum rank distance) and non-Gabidulin are generic over the algebraic closu…