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- Title
Cryptographic properties of monotone Boolean functions.
- Authors
Carlet, Claude; Joyner, David; Stănică, Pantelimon; Deng Tang
- Abstract
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 spectrum and investigate some other cryptographic properties of monotone Boolean functions.
- Subjects
BOOLEAN functions; BENT functions; MONOTONIC functions; ALGEBRAIC immunity; CRYPTOGRAPHY; NONLINEAR theories
- Publication
Journal of Mathematical Cryptology, 2016, Vol 10, Issue 1, p1
- ISSN
1862-2976
- Publication type
Article
- DOI
10.1515/jmc-2014-0030