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On Lovász’ lattice reduction and the nearest lattice point problem. (English) Zbl 0593.68030
This is the full version of the author’s paper announced in Lect. Notes Comput. Sci. 182, 13-20 (1985; Zbl 0569.10015).

MSC:
68Q25 Analysis of algorithms and problem complexity
90C10 Integer programming
11J99 Diophantine approximation, transcendental number theory
11H06 Lattices and convex bodies (number-theoretic aspects)
11H55 Quadratic forms (reduction theory, extreme forms, etc.)
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