2 problems

Let $L$ be a $(2\times 5)$-system of linear equations, and let $s(L)$ denote the parameter used in the paper. Assume that $s(L)=4$. Non-Sidorenko conjecture. Every $(2\times 5)$-sy…

Let $q$ be a prime power, and let $L=a_1x_1+\dots+a_kx_k$ be a single linear form over $\mathbbm{F}_q$, with each coefficient $a_i\in\mathbbm{F}_q^\times$. The coefficients satisfy…