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Upper bounds on the numbers of binary plateaued and bent functions

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

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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