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» Asymptotic Nonlinearity of Boolean Functions
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DAGSTUHL
2006
13 years 9 months ago
Bounds on the Fourier Coefficients of the Weighted Sum Function
We estimate Fourier coefficients of a Boolean function which has recently been introduced in the study of read-once branching programs. Our bound implies that this function has an...
Igor Shparlinski
FSE
2007
Springer
101views Cryptology» more  FSE 2007»
14 years 1 months ago
Generalized Correlation Analysis of Vectorial Boolean Functions
We investigate the security of n-bit to m-bit vectorial Boolean functions in stream ciphers. Such stream ciphers have higher throughput than those using single-bit output Boolean f...
Claude Carlet, Khoongming Khoo, Chu-Wee Lim, Chuan...
AUTOMATICA
2011
13 years 2 months ago
Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions
— Quadratic systems play an important role in the modeling of a wide class of nonlinear processes (electrical, robotic, biological, etc.). For such systems it is of mandatory imp...
Francesco Amato, Francesco Calabrese, Carlo Cosent...
SETA
2004
Springer
81views Mathematics» more  SETA 2004»
14 years 1 months ago
Univariate and Multivariate Merit Factors
Abstract. Merit factor of a binary sequence is reviewed, and constructions are described that appear to satisfy an asymptotic merit factor of 6.3421 . . . Multivariate merit factor...
Matthew G. Parker
TIT
2008
123views more  TIT 2008»
13 years 7 months ago
Classes of Quadratic APN Trinomials and Hexanomials and Related Structures
A method for constructing differentially 4-uniform quadratic hexanomials has been recently introduced by J. Dillon. We give various generalizations of this method and we deduce th...
Lilya Budaghyan, Claude Carlet