Repairing Reed–Solomon Codes Evaluated on Subspaces

We consider the repair problem for Reed–Solomon (RS) codes, evaluated on an $\mathbb {F}_{q}$ -linear subspace $U\subseteq \mathbb {F}_{q^{m}} $ of dimension $d$ , where $q$ is a prime power, $m$ is a positive integer, and $\mathbb {F}_{q}$ is the Galois field of size $q$ . For $q>2$ , we show the e... View More