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» On a quasi-ordering on Boolean functions
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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
PROPERTYTESTING
2010
13 years 2 months ago
Testing by Implicit Learning: A Brief Survey
We give a high-level survey of the "testing by implicit learning" paradigm, and explain some of the property testing results for various Boolean function classes that ha...
Rocco A. Servedio
APPROX
2011
Springer
249views Algorithms» more  APPROX 2011»
12 years 4 months ago
A Canonical Form for Testing Boolean Function Properties
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
Dana Dachman-Soled, Rocco A. Servedio
BIRTHDAY
2004
Springer
13 years 8 months ago
On Models for Quantified Boolean Formulas
A quantified Boolean formula is true, if for any existentially quantified variable there exists a Boolean function depending on the preceding universal variables, such that substi...
Hans Kleine Büning, Xishun Zhao
CORR
2011
Springer
181views Education» more  CORR 2011»
12 years 11 months ago
Octal Bent Generalized Boolean Functions
In this paper we characterize (octal) bent generalized Boolean functions defined on Zn 2 with values in Z8. Moreover, we propose several constructions of such generalized bent fun...
Pante Stanica, Thor Martinsen