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DAGSTUHL
2008
15 years 3 months ago
Real Algebraic Numbers: Complexity Analysis and Experimentation
Abstract. We present algorithmic, complexity and implementation results concerning real root isolation of a polynomial of degree d, with integer coefficients of bit size , using S...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
FSE
1997
Springer
246views Cryptology» more  FSE 1997»
15 years 5 months ago
Fast Message Authentication Using Efficient Polynomial Evaluation
Abstract. Message authentication codes (MACs) using polynomial evaluation have the advantage of requiring a very short key even for very large messages. We describe a low complexit...
Valentine Afanassiev, Christian Gehrmann, Ben J. M...
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
15 years 5 months ago
On the Complexity of Boolean Functions in Different Characteristics
Every Boolean function on n variables can be expressed as a unique multivariate polynomial modulo p for every prime p. In this work, we study how the degree of a function in one c...
Parikshit Gopalan, Shachar Lovett, Amir Shpilka
AMC
2008
78views more  AMC 2008»
15 years 2 months ago
Information processing in complex networks: Graph entropy and information functionals
This paper introduces a general framework for defining the entropy of a graph. Our definition is based on a local information graph and on information functionals derived from the...
Matthias Dehmer
CC
2005
Springer
118views System Software» more  CC 2005»
15 years 1 months ago
The complexity of constructing pseudorandom generators from hard functions
We study the complexity of constructing pseudorandom generators (PRGs) from hard functions, focussing on constant-depth circuits. We show that, starting from a function f : {0, 1}l...
Emanuele Viola