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JCT
2006
87views more  JCT 2006»
13 years 7 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»
14 years 3 days 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
INDOCRYPT
2004
Springer
14 years 29 days 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 ...
TIT
2008
123views more  TIT 2008»
13 years 7 months ago
Classes of Quadratic APN Trinomials and Hexanomials and Related Structures
A method for constructing differentially 4-uniform quadratic hexanomials has been recently introduced by J. Dillon. We give various generalizations of this method and we deduce th...
Lilya Budaghyan, Claude Carlet
INDOCRYPT
2003
Springer
14 years 24 days 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