Cryptographic properties of monotone Boolean functions

We prove various results on monotone Boolean functions. In particular, we prove a conjecture proposed recently, stating that there are no monotone bent Boolean functions. Further, we give an upper bound on the nonlinearity of monotone functions in odd dimension, we describe the Walsh–Hadamard spectr...

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Bibliographic Details
Main Authors: Carlet Claude, Joyner David, Stănică Pantelimon, Tang Deng
Format: Article
Language:English
Published: De Gruyter 2016-03-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2014-0030