Rank and Kernel of ${\mathbb{F}}_p$-Additive Generalised Hadamard Codes

Steven T. Dougherty, Josep Rifà, Mercè Villanueva

A subset of a vector space ${\mathbb{F}}_q^n$ is $K$-additive if it is a linear space over the subfield $K\subseteq {\mathbb{F}}_q$. Let $q=p^e$, $p$ prime, and $e>1$. Bounds on the ra…