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» On a quasi-ordering on Boolean functions
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MFCS
2009
Springer
14 years 2 months ago
Size and Energy of Threshold Circuits Computing Mod Functions
Let C be a threshold logic circuit computing a Boolean function MODm : {0, 1}n → {0, 1}, where n ≥ 1 and m ≥ 2. Then C outputs “0” if the number of “1”s in an input ...
Kei Uchizawa, Takao Nishizeki, Eiji Takimoto
FOCS
1991
IEEE
13 years 11 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
STOC
2005
ACM
107views Algorithms» more  STOC 2005»
14 years 8 months ago
On obfuscating point functions
We study the problem of obfuscation in the context of point functions (also known as delta functions). A point function is a Boolean function that assumes the value 1 at exactly o...
Hoeteck Wee
ICALP
2009
Springer
14 years 8 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...
CRYPTO
2006
Springer
125views Cryptology» more  CRYPTO 2006»
13 years 11 months ago
On the Higher Order Nonlinearities of Algebraic Immune Functions
Abstract. One of the most basic requirements concerning Boolean functions used in cryptosystems is that they must have high algebraic degrees. This simple criterion is not always w...
Claude Carlet