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Conjecture on monomials with the intersection distribution of $x^3$
Monomial intersection-distribution conjecture. The following two families of monomials $x^d$ over $\mathbb{F}_q=\mathbb{F}_{3^m}$ have the same intersection distribution as $x^3$ :
Conjectureopenfinite-fields intersection-distributions polynomial-functionsarXiv posted 2 days ago

Conjecture on monomials with the intersection distribution of x3x^3x3