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AAECC
2007
Springer
194views Algorithms» more  AAECC 2007»
13 years 11 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
EUROCRYPT
2000
Springer
13 years 9 months ago
Propagation Characteristics and Correlation-Immunity of Highly Nonlinear Boolean Functions
We investigate the link between the nonlinearity of a Boolean function and its propagation characteristics. We prove that highly nonlinear functions usually have good propagation p...
Anne Canteaut, Claude Carlet, Pascale Charpin, Car...
IACR
2011
108views more  IACR 2011»
12 years 5 months ago
On lower bounds on second-order nonliearities of bent functions obtained by using Niho power functions
Abstract. In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form f(x) = Trn 1 (α1xd1 + α2xd2 ), where d1 and d2 are Niho ex...
Manish Garg, Sugata Gangopadhyay
TIT
2008
130views more  TIT 2008»
13 years 5 months ago
Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
Abstract. The recent algebraic attacks have received a lot of attention in cryptographic literature. The algebraic immunity of a Boolean function quantifies its resistance to the s...
Sihem Mesnager
DCC
2006
IEEE
14 years 5 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