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ACISP
2003
Springer
13 years 10 months ago
New Constructions for Resilient and Highly Nonlinear Boolean Functions
Abstract. We explore three applications of geometric sequences in constructing cryptographic Boolean functions. First, we construct 1-resilient functions of n Boolean variables wit...
Khoongming Khoo, Guang Gong
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
CRYPTO
2000
Springer
145views Cryptology» more  CRYPTO 2000»
13 years 9 months ago
Nonlinearity Bounds and Constructions of Resilient Boolean Functions
In this paper we investigate the relationship between the nonlinearity and the order of resiliency of a Boolean function. We first prove a sharper version of McEliece theorem for ...
Palash Sarkar, Subhamoy Maitra