A strengthened inequality of Alon-Babai-Suzuki's conjecture on set systems with restricted intersections modulo p

Xin Wang, Hengjia Wei, Gennian Ge

Let $K=\{k_1,k_2,\dots ,k_r\}$ and $L=\{l_1,l_2,\dots ,l_s\}$ be disjoint subsets of $\{0,1,\dots ,p-1\}$, where $p$ is a prime and $A=\{A_1,A_2,\dots ,A_m\}$ be a family of subset…