Incremental Algorithms for Lattice Problems

dc.creatorHemkemeier, Boris
dc.creatorVallentin, Frank
dc.date2006-04-13
dc.date.accessioned2026-07-07T07:10:54Z
dc.date.available2026-07-07T07:10:54Z
dc.descriptionIn this short note we give incremental algorithms for the following lattice problems: finding a basis of a lattice, computing the successive minima, and determining the orthogonal decomposition. We prove an upper bound for the number of update steps for every insertion order. For the determination of the orthogonal decomposition we efficiently implement an argument due to Kneser.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0604320
dc.identifierhttp://arxiv.org/abs/math/0604320
dc.identifierRevision 01 of ECCC (Electronic Colloquium on Computational Complexity) Report TR98-052, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111566
dc.subjectNumber Theory
dc.titleIncremental Algorithms for Lattice Problems
dc.typetext

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