2 problems

Let $\mathcal V=\{\mathbf{v}_1,\ldots,\mathbf{v}_m\}\subseteq\{0,1,\ldots,q-1\}^n$ be a vector system, and let $d_H$ denote Hamming distance. Suppose there is a positive integer…

Logarithmic distance conjecture. For each Latin square $L$ of order $n$,