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DAGSTUHL
2008
15 years 1 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 3 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 3 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»
14 years 12 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»
14 years 11 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