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» Construction of bent functions via Niho power functions
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JCT
2006
87views more  JCT 2006»
13 years 4 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...
IACR
2011
108views more  IACR 2011»
12 years 4 months ago
On lower bounds on second-order nonliearities of bent functions obtained by using Niho power functions
Abstract. In this paper we find a lower bound of the second-order nonlinearities of Boolean bent functions of the form f(x) = Trn 1 (α1xd1 + α2xd2 ), where d1 and d2 are Niho ex...
Manish Garg, Sugata Gangopadhyay
TIT
2008
123views more  TIT 2008»
13 years 4 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
TCC
2009
Springer
142views Cryptology» more  TCC 2009»
14 years 5 months ago
Chosen-Ciphertext Security via Correlated Products
We initiate the study of one-wayness under correlated products. We are interested in identifying necessary and sufficient conditions for a function f and a distribution on inputs ...
Alon Rosen, Gil Segev
CVPR
2008
IEEE
14 years 6 months ago
Interactive image segmentation via minimization of quadratic energies on directed graphs
We propose a scheme to introduce directionality in the Random Walker algorithm for image segmentation. In particular, we extend the optimization framework of this algorithm to com...
Dheeraj Singaraju, Leo Grady, René Vidal