2 problems

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Sarwate's conjecture on Fourier coefficients of power permutations
About 14 years old
Sarwate's conjecture. If $[L:{\mathbb F}_2]$ is even, then
openfinite-field-fourier-analysis finite-fields power-permutations
05
Leander's generalized Helleseth conjecture for permutations
About 14 years old
Leander's generalized Helleseth conjecture. If $f$ is a permutation of $L$ , then
openfinite-field-fourier-analysis finite-fields permutation-polynomials
07