Weizmann Logo
ECCC
Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

Login | Register | Classic Style



REPORTS > KEYWORD > LATTICES, ALGORITHMS, CLOSEST VECTOR PROBLEM, VORONOI CELL :
Reports tagged with Lattices, Algorithms, Closest Vector Problem, Voronoi cell :
TR10-014 | 2nd February 2010
Daniele Micciancio, Panagiotis Voulgaris

A Deterministic Single Exponential Time Algorithm for Most Lattice Problems based on Voronoi Cell Computations

Revisions: 1

We give deterministic $2^{O(n)}$-time algorithms to solve all the most important computational problems on point lattices in NP, including the Shortest Vector Problem (SVP), Closest Vector Problem (CVP), and Shortest Independent Vectors Problem (SIVP).
This improves the $n^{O(n)}$ running time of the best previously known algorithms for CVP (Kannan, ... more >>>




ISSN 1433-8092 | Imprint