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IMA
2009
Springer
145views Cryptology» more  IMA 2009»
14 years 5 days ago
On Designs and Multiplier Groups Constructed from Almost Perfect Nonlinear Functions
Let f : F n 2 → F n 2 be an almost perfect nonlinear function (APN). The set Df := {(a, b) : f(x + a) − f(x) = b has two solutions} can be used to distinguish APN functions up ...
Yves Edel, Alexander Pott
TIT
2008
123views more  TIT 2008»
13 years 5 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
SIGECOM
2011
ACM
256views ECommerce» more  SIGECOM 2011»
12 years 8 months ago
Competitive equilibrium in two sided matching markets with general utility functions
In this paper, we study the class of competitive equilibria in two sided matching markets with general (non-quasilinear) utility functions. Mechanism design in general non-quasili...
Saeed Alaei, Kamal Jain, Azarakhsh Malekian
ICIP
2005
IEEE
14 years 7 months ago
Approximation power of directionlets
In spite of the success of the standard wavelet transform (WT) in image processing, the efficiency of its representation is limited by the spatial isotropy of its basis functions ...
Vladan Velisavljevic, Baltasar Beferull-Lozano, Ma...
FOCS
1994
IEEE
13 years 9 months ago
A Spectral Approach to Lower Bounds
We establish a nonlinear lower bound for halfplane range searching over a group. Specifically, we show that summing up the weights of n (weighted) points within n halfplanes requir...
Bernard Chazelle