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Upper bounds on the numbers of binary plateaued and bent functions

Published 29 Mar 2023 in cs.IT, math.CO, and math.IT | (2303.16547v3)

Abstract: The logarithm of the number of binary n-variable bent functions is asymptotically less than $11(2n)/32$ as n tends to infinity. Keywords: boolean function, Walsh--Hadamard transform, plateaued function, bent function, upper bound

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