An Average-case Analysis of the Gaussian Algorithm for Lattice Reduction - Archive ouverte HAL Access content directly
Reports (Research Report) Year : 1996

An Average-case Analysis of the Gaussian Algorithm for Lattice Reduction

, (1) ,
1
Hervé Daudé
  • Function : Author
Philippe Flajolet
  • Function : Author
  • PersonId : 829512
Brigitte Vallée

Abstract

The Gaussian algorithm for lattice reduction in dimension 2 is analysed under its standard version. It is found that, when applied to random inputs in a continuous model, the complexity is constant on average, the probability distribution decays geometrically, and the dynamics is characterized by a conditional invariant measure. The proofs make use of connections between lattice reduction, continued fractions, continuants, and functional operators. Analysis in the discrete model and detailed numerical data are also presented.
Fichier principal
Vignette du fichier
RR-2798.pdf (537.02 Ko) Télécharger le fichier

Dates and versions

inria-00073892 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073892 , version 1

Cite

Hervé Daudé, Philippe Flajolet, Brigitte Vallée. An Average-case Analysis of the Gaussian Algorithm for Lattice Reduction. [Research Report] RR-2798, INRIA. 1996. ⟨inria-00073892⟩
108 View
233 Download

Share

Gmail Facebook Twitter LinkedIn More