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» A 3-Dimensional Lattice Reduction Algorithm
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99
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TOC
2008
94views more  TOC 2008»
15 years 7 days 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
14 years 4 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
111
Voted
FOCS
2004
IEEE
15 years 4 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»
15 years 13 days 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
119
Voted
IACR
2011
155views more  IACR 2011»
13 years 12 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...