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» On Bounded Distance Decoding for General Lattices
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86
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APPROX
2006
Springer
179views Algorithms» more  APPROX 2006»
15 years 1 months ago
On Bounded Distance Decoding for General Lattices
A central problem in the algorithmic study of lattices is the closest vector problem: given a lattice v represented by some basis, and a target point y, nd the lattice point close...
Yi-Kai Liu, Vadim Lyubashevsky, Daniele Micciancio
CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
15 years 4 months ago
On Bounded Distance Decoding, Unique Shortest Vectors, and the Minimum Distance Problem
We prove the equivalence, up to a small polynomial approximation factor n/ log n, of the lattice problems uSVP (unique Shortest Vector Problem), BDD (Bounded Distance Decoding) and...
Vadim Lyubashevsky, Daniele Micciancio
TIT
1998
90views more  TIT 1998»
14 years 9 months ago
On the Complexity of Decoding Lattices Using the Korkin-Zolotarev Reduced Basis
—Upper and lower bounds are derived for the decoding complexity of a general lattice L. The bounds are in terms of the dimension n and the coding gain of L, and are obtained ba...
Amir H. Banihashemi, Amir K. Khandani
CORR
2008
Springer
84views Education» more  CORR 2008»
14 years 9 months ago
Message-Passing Decoding of Lattices Using Gaussian Mixtures
A belief-propagation decoder for low-density lattice codes, which represents messages explicitly as a mixture of Gaussians functions, is given. In order to prevent the mixture elem...
Brian M. Kurkoski, Justin Dauwels
87
Voted
CORR
2011
Springer
176views Education» more  CORR 2011»
14 years 4 months ago
Decoding by Embedding: Correct Decoding Radius and DMT Optimality
—In lattice-coded multiple-input multiple-output (MIMO) systems, optimal decoding amounts to solving the closest vector problem (CVP). Embedding is a powerful technique for the a...
Cong Ling, Shuiyin Liu, Laura Luzzi, Damien Stehl&...