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ASIACRYPT
2000
Springer
15 years 1 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
15 years 9 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»
14 years 9 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...
64
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CRYPTO
2001
Springer
116views Cryptology» more  CRYPTO 2001»
15 years 2 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»
15 years 1 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