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IACR
2011
108views more  IACR 2011»
12 years 5 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
ICALP
2009
Springer
14 years 5 months ago
Testing Fourier Dimensionality and Sparsity
We present a range of new results for testing properties of Boolean functions that are defined in terms of the Fourier spectrum. Broadly speaking, our results show that the propert...
Parikshit Gopalan, Ryan O'Donnell, Rocco A. Served...
ECCC
2010
117views more  ECCC 2010»
13 years 3 months ago
Nearly Tight Bounds for Testing Function Isomorphism
We study the problem of testing isomorphism (equivalence up to relabelling of the variables) of two Boolean functions f, g : {0, 1}n → {0, 1}. Our main focus is on the most stud...
Sourav Chakraborty, David García-Soriano, A...
COCO
1999
Springer
101views Algorithms» more  COCO 1999»
13 years 9 months ago
A Lower Bound for Primality
Recent work by Bernasconi, Damm and Shparlinski showed that the set of square-free numbers is not in AC0 , and raised as an open question whether similar (or stronger) lower bound...
Eric Allender, Michael E. Saks, Igor Shparlinski
CIE
2010
Springer
13 years 10 months ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov