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» A 3-Dimensional Lattice Reduction Algorithm
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2008
94views more  TOC 2008»
13 years 7 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
ICASSP
2011
IEEE
12 years 11 months ago
Are all basis updates for lattice-reduction-aided MIMO detection necessary?
The question in the title is relevant when considering latticereduction-aided MIMO detectors, which achieve the same diversity as the maximum-likelihood detector while exhibiting ...
Brian Gestner, Xiaoli Ma, David V. Anderson
FOCS
2004
IEEE
13 years 11 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
CORR
2010
Springer
171views Education» more  CORR 2010»
13 years 7 months ago
Randomized Lattice Decoding
Sphere decoding achieves maximum-likelihood (ML) performance at the cost of exponential complexity; lattice reduction-aided successive interference cancelation (SIC) significantly...
Shuiyin Liu, Cong Ling, Damien Stehlé
IACR
2011
155views more  IACR 2011»
12 years 7 months ago
Terminating BKZ
Strong lattice reduction is the key element for most attacks against lattice-based cryptosystems. Between the strongest but impractical HKZ reduction and the weak but fast LLL redu...
Guillaume Hanrot, Xavier Pujol, Damien Stehl&eacut...