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Friday, August 21, 2020

Friday, August 21, 2020 — 3:30 PM EDT

Title: An Algorithmic Reduction Theory for Binary Codes: LLL and more

Joint work with Thomas Debris-Alazard and Wessel van Woerden

Speaker: Léo Ducas Affiliation: Centrum Wiskunde & Informatica (CWI) Zoom: Please email Emma Watson

Abstract:

Lattice reduction is the task of finding a basis of short and somewhat orthogonal vectors of a given lattice. In 1985 Lenstra, Lenstra and Lovasz proposed a polynomial time algorithm for this task, with an application to factoring rational polynomials. Since then, the LLL algorithm has found countless application in algorithmic number theory and in cryptanalysis.

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