Upper bounds on the numbers of binary plateaued and bent functions
March 29, 2023 Β· Declared Dead Β· π Cryptography and Communications
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Authors
Vladimir N. Potapov
arXiv ID
2303.16547
Category
cs.IT: Information Theory
Cross-listed
math.CO
Citations
1
Venue
Cryptography and Communications
Last Checked
4 months ago
Abstract
The logarithm of the number of binary n-variable bent functions is asymptotically less than $11(2^n)/32$ as n tends to infinity. Keywords: boolean function, Walsh--Hadamard transform, plateaued function, bent function, upper bound
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