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» On the Minimal Fourier Degree of Symmetric Boolean Functions
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DCC
2006
IEEE
14 years 4 months ago
Basic Theory in Construction of Boolean Functions with Maximum Possible Annihilator Immunity
So far there is no systematic attempt to construct Boolean functions with maximum annihilator immunity. In this paper we present a construction keeping in mind the basic theory of...
Deepak Kumar Dalai, Subhamoy Maitra, Sumanta Sarka...
ECCC
2010
104views more  ECCC 2010»
13 years 5 months ago
Pseudorandom generators for CC0[p] and the Fourier spectrum of low-degree polynomials over finite fields
In this paper we give the first construction of a pseudorandom generator, with seed length O(log n), for CC0[p], the class of constant-depth circuits with unbounded fan-in MODp ga...
Shachar Lovett, Partha Mukhopadhyay, Amir Shpilka
DCC
2008
IEEE
14 years 4 months ago
On Boolean functions with the sum of every two of them being bent
A set of Boolean functions is called a bent set if the sum of any two distinct members is a bent function. We show that any bent set yields a homogeneous system of linked symmetric...
Christian Bey, Gohar M. M. Kyureghyan
FOCS
1989
IEEE
13 years 9 months ago
Constant Depth Circuits, Fourier Transform, and Learnability
In this paper, Boolean functions in ,4C0 are studied using harmonic analysis on the cube. The main result is that an ACO Boolean function has almost all of its “power spectrum”...
Nathan Linial, Yishay Mansour, Noam Nisan
MCSS
2007
Springer
13 years 5 months ago
Minimal symmetric Darlington synthesis
We consider the symmetric Darlington synthesis of a p × p rational symmetric Schur function S with the constraint that the extension is of size 2p×2p. Under the assumption that S...
Laurent Baratchart, P. Enqvist, A. Gombani, M. Oli...