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» Asymptotic Nonlinearity of Boolean Functions
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DM
2006
72views more  DM 2006»
13 years 5 months ago
Patterson-Wiedemann construction revisited
In 1983, Patterson and Wiedemann constructed Boolean functions on n = 15 input variables having nonlinearity strictly greater than 2n-1 -2 n-1 2 . Construction of Boolean function...
Sugata Gangopadhyay, Pradipkumar H. Keskar, Subham...
CRYPTO
2000
Springer
108views Cryptology» more  CRYPTO 2000»
13 years 9 months ago
Maximum Correlation Analysis of Nonlinear S-boxes in Stream Ciphers
Abstract. This paper investigates the design of S-boxes used for combining linear feedback shift register (LFSR) sequences in combination generators. Such combination generators ha...
Muxiang Zhang, Agnes Hui Chan
INDOCRYPT
2003
Springer
13 years 10 months ago
Improved Cost Function in the Design of Boolean Functions Satisfying Multiple Criteria
We develop an improved cost function to be used in simulated annealing followed by hill-climbing to find Boolean functions satisfying multiple desirable criteria such as high nonli...
Selçuk Kavut, Melek D. Yücel
ASIACRYPT
2000
Springer
13 years 9 months ago
On Relationships among Avalanche, Nonlinearity, and Correlation Immunity
We establish, for the first time, an explicit and simple lower bound on the nonlinearity Nf of a Boolean function f of n variables satisfying the avalanche criterion of degree p, ...
Yuliang Zheng, Xian-Mo Zhang