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» On Bounded Distance Decoding for General Lattices
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APPROX
2006
Springer
179views Algorithms» more  APPROX 2006»
13 years 8 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»
13 years 11 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»
13 years 4 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»
13 years 5 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
CORR
2011
Springer
176views Education» more  CORR 2011»
12 years 12 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&...