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ASIACRYPT
2000
Springer
13 years 11 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
DCC
2008
IEEE
14 years 6 months ago
Idempotents in the neighbourhood of Patterson-Wiedemann functions having Walsh spectra zeros
In this paper we study the neighbourhood of 15-variable Patterson-Wiedemann (PW) functions, i.e., the functions that differ by a small Hamming distance from the PW functions in te...
Sumanta Sarkar, Subhamoy Maitra
JCT
2006
87views more  JCT 2006»
13 years 6 months ago
Construction of bent functions via Niho power functions
A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new construction of bent functions. Boolean functions of ...
Hans Dobbertin, Gregor Leander, Anne Canteaut, Cla...
CRYPTO
2001
Springer
116views Cryptology» more  CRYPTO 2001»
13 years 11 months ago
Nonlinear Vector Resilient Functions
An (n, m, k)-resilient function is a function f : Fn 2 → Fm 2 such that every possible output m-tuple is equally likely to occur when the values of k arbitrary inputs are fixed ...
Jung Hee Cheon
CRYPTO
2000
Springer
108views Cryptology» more  CRYPTO 2000»
13 years 11 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