A Kakeya set in $\mathbb{F}_p^3$ of size $(2p^3+7p^2+2p-3)/8$ for $p \equiv 3 \pmod 4$ · Prove2Me

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A Kakeya set in $\mathbb{F}_p^3$ of size $(2p^3+7p^2+2p-3)/8$ for $p \equiv 3 \pmod 4$ · Prove2Me