Lattice reduction in two dimensions: analyses under realistic probabilistic models - GREYC amacc Access content directly
Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2007

Lattice reduction in two dimensions: analyses under realistic probabilistic models

Abstract

The Gaussian algorithm for lattice reduction in dimension 2 is precisely analysed under a class of realistic probabilistic models, which are of interest when applying the Gauss algorithm "inside'' the LLL algorithm. The proofs deal with the underlying dynamical systems and transfer operators. All the main parameters are studied: execution parameters which describe the behaviour of the algorithm itself as well as output parameters, which describe the geometry of reduced bases.
Fichier principal
Vignette du fichier
dmAH0114.pdf (985.89 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01184797 , version 1 (17-08-2015)

Identifiers

Cite

Brigitte Vallée, Antonio Vera. Lattice reduction in two dimensions: analyses under realistic probabilistic models. 2007 Conference on Analysis of Algorithms, AofA 07, 2007, Juan les Pins, France. pp.197-234, ⟨10.46298/dmtcs.3549⟩. ⟨hal-01184797⟩
192 View
713 Download

Altmetric

Share

Gmail Facebook X LinkedIn More