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Finding a shortest vector in a two-dimensional lattice modulo m

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Publication:1392031
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DOI10.1016/S0304-3975(96)00185-5zbMath0903.68083OpenAlexW2127949835MaRDI QIDQ1392031

Günter Rote

Publication date: 23 July 1998

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-3975(96)00185-5

zbMATH Keywords

Minkowski-reduced basis


Mathematics Subject Classification ID

Parallel algorithms in computer science (68W10)


Related Items

Computing efficiently the lattice width in any dimension, Bounds for the traveling salesman paths of two-dimensional modular lattices, Point lattices and oscillating recurrence sequences†, Efficient Lattice Width Computation in Arbitrary Dimension, Farey Sequences and Discrete Radon Transform Projection Angles, Short vectors of planar lattices via continued fractions



Cites Work

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  • Algorithms to construct Minkowski reduced and Hermite reduced lattice bases
  • An algorithm for finding a shortest vector in a two-dimensional modular lattice
  • Fast computation of continued fraction expansions.
  • Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
  • Minkowski's Convex Body Theorem and Integer Programming
  • Storage Modification Machines
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