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Cryptographic properties of monotone Boolean functions

Journal of Mathematical Cryptology, 2016
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.
Carlet Claude +3 more
doaj +1 more source

Disjointed sum of products by a novel technique of orthogonalizing ORing

Open Mathematics, 2018
This work presents a novel combining method called ‘orthogonalizing ORing ◯∨$\bigcirc\!\!\!\!\!\!\vee $’ which enables the building of the union of two conjunctions whereby the result consists of disjointed conjunctions.
Can Yavuz
doaj +1 more source

Characterizing the upper bound on the transparency order of (n, m)-functions

Journal of Mathematical Cryptology
Transparency order (TO{\mathcal{TO}}) is one of the indicators used to measure the resistance of (n,m)\left(n,m)-function to differential power analysis.
Zhou Yu +4 more
doaj +1 more source

A minimum dimensional class of simple games

Simple games, Hypergraphs, Boolean algebra, Dimension, Codimension, 05C65, 91A12, 94C10,
Josep Freixas, Dorota Marciniak
core +1 more source

Piecewise linear and Boolean models of chemical reaction networks. [PDF]