2 problems

Let $\bm{M} \in \mathbb{F}_{q^m}^{k \times n}$ be a randomly chosen matrix with full $\mathbb{F}_{q^m}$-rank such that each block $\bm{M}^{(i)}$, for $i=1,\dots,\ell$, has full col…

Let $q$ be the field-size parameter and let $\ell$ be the number of shots. In the multishot setting, the construction uses $q>\ell$; for MDS codes, corresponding to $n^\prime=1$, t…