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 lin... View More