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» On the nonlinearity of monotone Boolean functions
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EJC
2010
14 years 9 months ago
Minors of Boolean functions with respect to clique functions and hypergraph homomorphisms
Each clone C on a fixed base set A determines a quasiorder on the set of all operations on A by the following rule: f is a C-minor of g if f can be obtained by substituting operati...
Erkko Lehtonen, Jaroslav Nesetril
RANDOM
2001
Springer
15 years 2 months ago
Proclaiming Dictators and Juntas or Testing Boolean Formulae
We consider the problem of determining whether a given function ¢ £ ¤¥ ¦ §¨©  ¤¥ ¦ §¨ belongs to a certain class of Boolean functions  or whether it is far from the...
Michal Parnas, Dana Ron, Alex Samorodnitsky
DCC
2006
IEEE
15 years 9 months ago
Asymptotic Nonlinearity of Boolean Functions
Boolean functions on the space Fm 2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functio...
François Rodier
EUROCRYPT
2000
Springer
15 years 1 months ago
Construction of Nonlinear Boolean Functions with Important Cryptographic Properties
Abstract. This paper addresses the problem of obtaining new construction methods for cryptographically significant Boolean functions. We show that for each positive integer m, ther...
Palash Sarkar, Subhamoy Maitra
CRYPTO
2000
Springer
145views Cryptology» more  CRYPTO 2000»
15 years 1 months ago
Nonlinearity Bounds and Constructions of Resilient Boolean Functions
In this paper we investigate the relationship between the nonlinearity and the order of resiliency of a Boolean function. We first prove a sharper version of McEliece theorem for ...
Palash Sarkar, Subhamoy Maitra