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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 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.
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Submitted on : Monday, August 17, 2015 - 5:00:17 PM
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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⟩



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