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 existence of a li... View More