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TIT
2008
130views more  TIT 2008»
13 years 4 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
CRYPTO
2006
Springer
125views Cryptology» more  CRYPTO 2006»
13 years 8 months ago
On the Higher Order Nonlinearities of Algebraic Immune Functions
Abstract. One of the most basic requirements concerning Boolean functions used in cryptosystems is that they must have high algebraic degrees. This simple criterion is not always w...
Claude Carlet
ASIACRYPT
2001
Springer
13 years 8 months ago
Autocorrelation Coefficients and Correlation Immunity of Boolean Functions
Abstract. We apply autocorrelation and Walsh coefficients for the investigation of correlation immune and resilient Boolean functions. We prove new lower bound for the absolute ind...
Yuriy Tarannikov, Peter Korolev, Anton Botev