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» Asymptotic Nonlinearity of Boolean Functions
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DCC
2006
IEEE
14 years 4 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
DAGSTUHL
2006
13 years 5 months ago
The complexity of Boolean functions from cryptographic viewpoint
Cryptographic Boolean functions must be complex to satisfy Shannon's principle of confusion. But the cryptographic viewpoint on complexity is not the same as in circuit compl...
Claude Carlet
CCDS
2010
127views more  CCDS 2010»
13 years 4 months ago
Asymptotic enumeration of correlation-immune boolean functions
A boolean function of n boolean variables is correlation-immune of order k if the function value is uncorrelated with the values of any k of the arguments. Such functions are of co...
E. Rodney Canfield, Zhicheng Gao, Catherine S. Gre...
AAECC
2007
Springer
194views Algorithms» more  AAECC 2007»
13 years 10 months ago
Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions - 9 Variable Boolean Functions with Nonlinearity 242
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 Sy...
Selçuk Kavut, Melek D. Yücel
ACISP
1997
Springer
13 years 8 months ago
New Lower Bounds on Nonlinearity and a Class of Highly Nonlinear Functions
Abstract. Highly nonlinear Boolean functions occupy an important position in the design of secure block as well as stream ciphers. This paper proves two new lower bounds on the non...
Xian-Mo Zhang, Yuliang Zheng