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A central problem in the algorithmic geometry of numbers: Lattice reduction. Around the algorithm of Lenstra, Lenstra, Lovász. (English) Zbl 0713.11089

Translation from RAIRO, Inf. Theor. Appl. 23, No.3, 345-376 (1989; Zbl 0692.10032).

MSC:

11Y16 Number-theoretic algorithms; complexity
11H55 Quadratic forms (reduction theory, extreme forms, etc.)
68Q25 Analysis of algorithms and problem complexity