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FSE
2006
Springer
86views Cryptology» more  FSE 2006»
13 years 8 months ago
Upper Bounds on Algebraic Immunity of Boolean Power Functions
Yassir Nawaz, Guang Gong, Kishan Chand Gupta
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
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
ACISP
2006
Springer
13 years 11 months ago
On Exact Algebraic [Non-]Immunity of S-Boxes Based on Power Functions
In this paper we are interested in algebraic immunity of several well known highly-nonlinear vectorial Boolean functions (or Sboxes), designed for block and stream ciphers. Unfortu...
Nicolas Courtois, Blandine Debraize, Eric Garrido
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