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Formalizing the LLL Basis Reduction Algorithm and the LLL Factorization Algorithm in Isabelle/HOL

The LLL basis reduction algorithm was the first polynomial-time algorithm to compute a reduced basis of a given lattice, and hence also a short vector in the lattice. It approximates an NP-hard problem where the approximation quality solely depends on the dimension of the lattice, but not the lattic...

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Bibliografske podrobnosti
izdano v:J Autom Reason
Main Authors: Thiemann, René, Bottesch, Ralph, Divasón, Jose, Haslbeck, Max W., Joosten, Sebastiaan J. C., Yamada, Akihisa
Format: Artigo
Jezik:Inglês
Izdano: Springer Netherlands 2020
Teme:
Online dostop:https://ncbi.nlm.nih.gov/pmc/articles/PMC7413592/
https://ncbi.nlm.nih.gov/pubmed/32831440
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s10817-020-09552-1
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