High-probability rank growth conjecture for generalized Moore matrices
Let M∈Fqmk×n\bm{M} \in \mathbb{F}_{q^m}^{k \times n}M∈Fqmk×n be a randomly chosen matrix with full Fqm\mathbb{F}_{q^m}Fqm-rank such that each block M(i)\bm{M}^{(i)}M(i), for i=1,…,ℓi=1,\dots,\elli=1,…,ℓ, has full col…