Skip to Main content Skip to Navigation
Conference papers

Lattice reduction in two dimensions: analyses under realistic probabilistic models

Brigitte Vallée 1 Antonio Vera 1
1 Equipe AMACC - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
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.
Complete list of metadata

Cited literature [23 references]  Display  Hide  Download

https://hal.inria.fr/hal-01184797
Contributor : Coordination Episciences Iam <>
Submitted on : Monday, August 17, 2015 - 5:00:17 PM
Last modification on : Thursday, February 7, 2019 - 5:36:47 PM
Long-term archiving on: : Wednesday, November 18, 2015 - 12:18:26 PM

File

dmAH0114.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01184797, version 1

Citation

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. ⟨hal-01184797⟩

Share

Metrics

Record views

242

Files downloads

743