2 problems

For a prime $p\geq 3$, consider subsets $I\subset\{0,1,\ldots,p\}$ with $0\in I$ and $|I|=(p+1)/2$, and the associated graph $PP(p^4,p+1,I)$. Let $g$ be the primitive element used…

Let $q$ be a power of a prime $p$ satisfying $p\equiv 3\pmod 4$ and $q>3$. Let $P_{q^4}^*$ be the Peisert graph of order $q^4$, and let $\omega(P_{q^4}^*)$ denote its clique number…