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 ex... View More