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» The Interval Logarithmic Number System
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EDBT
2008
ACM
160views Database» more  EDBT 2008»
14 years 7 months ago
Why go logarithmic if we can go linear?: Towards effective distinct counting of search traffic
Estimating the number of distinct elements in a large multiset has several applications, and hence has attracted active research in the past two decades. Several sampling and sket...
Ahmed Metwally, Divyakant Agrawal, Amr El Abbadi
TC
2010
13 years 2 months ago
FPGA Designs with Optimized Logarithmic Arithmetic
Using a general polynomial approximation approach, we present an arithmetic library generator for the logarithmic number system (LNS). The generator produces optimized LNS arithmet...
Haohuan Fu, Oskar Mencer, Wayne Luk
JCT
2010
77views more  JCT 2010»
13 years 5 months ago
Obtainable sizes of topologies on finite sets
We study the smallest possible number of points in a topological space having k open sets. Equivalently, this is the smallest possible number of elements in a poset having k order ...
Kári Ragnarsson, Bridget Eileen Tenner
MOC
2002
131views more  MOC 2002»
13 years 7 months ago
Some baby-step giant-step algorithms for the low hamming weight discrete logarithm problem
In this paper, we present several baby-step giant-step algorithms for the low hamming weight discrete logarithm problem. In this version of the discrete log problem, we are require...
Douglas R. Stinson
JCSS
2011
81views more  JCSS 2011»
13 years 2 months ago
Representing real numbers in a generalized numeration system
Abstract. We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider ...
Emilie Charlier, Marion Le Gonidec, Michel Rigo