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EUROCRYPT
2000
Springer
13 years 8 months ago
Construction of Nonlinear Boolean Functions with Important Cryptographic Properties
Abstract. This paper addresses the problem of obtaining new construction methods for cryptographically significant Boolean functions. We show that for each positive integer m, ther...
Palash Sarkar, Subhamoy Maitra
INDOCRYPT
2004
Springer
13 years 10 months ago
On Boolean Functions with Generalized Cryptographic Properties
By considering a new metric, we generalize cryptographic properties of Boolean functions such as resiliency and propagation characteristics. These new definitions result in a bett...
An Braeken, Ventzislav Nikov, Svetla Nikova, Bart ...
ACISP
2003
Springer
13 years 9 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
FSE
2003
Springer
125views Cryptology» more  FSE 2003»
13 years 9 months ago
On Plateaued Functions and Their Constructions
We use the notion of covering sequence, introduced by C. Carlet and Y. Tarannikov, to give a simple characterization of bent functions. We extend it into a characterization of plat...
Claude Carlet, Emmanuel Prouff
TIT
2008
130views more  TIT 2008»
13 years 4 months ago
Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
Abstract. The recent algebraic attacks have received a lot of attention in cryptographic literature. The algebraic immunity of a Boolean function quantifies its resistance to the s...
Sihem Mesnager