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On the Resistance of Prime-variable Rotation Symmetric Boolean Functions against Fast Algebraic Attacks
Boolean functions cryptography fast algebraic attacks
2015/12/30
Boolean functions used in stream ciphers should have many cryptographic properties in order to help resist different kinds of cryptanalytic attacks. The resistance of Boolean functions against fast al...
On the Algebraic Immunity of Symmetric Boolean Functions
Algebraic Immunity Symmetric Boolean Functions maximum algebraic immunity
2009/2/20
In this paper, we analyse the algebraic immunity of symmetric Boolean functions.
We identify a set of lowest degree annihilators for symmetric functions and propose an efficient
algorithm for comput...
Enumeration of 9-variable Rotation Symmetric Boolean Functions having Nonlinearity > 240
Boolean Functions Covering Radius Reed-Muller Code
2008/12/9
The existence of 9-variable Boolean functions having nonlinearity strictly greater
than 240 has been shown very recently (May 2006) by Kavut, Maitra and Y¨ucel.
The functions with nonlinearity 241 h...
Construction of Rotation Symmetric Boolean Functions with Maximum Algebraic Immunity on Odd Number of Variables
Algebraic Immunity Boolean Function Nonlinearity Nonsingular Matrix
2008/6/4
In this paper we present a theoretical construction of Rotation
Symmetric Boolean Functions (RSBFs) on odd number of variables
with maximum possible AI and further these functions are not symmetric...
Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions – 9 variable Boolean Functions with Nonlinearity 242
9-variable Boolean functions Nonlinearity 242 RSBFs
2008/5/30
Recently, 9-variable Boolean functions having nonlinearity
241, which is strictly greater than the bent concatenation bound of 240,
have been discovered in the class of Rotation Symmetric Boolean
F...