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» On Bounded Distance Decoding for General Lattices
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CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 6 months ago
Bounds for binary codes relative to pseudo-distances of k points
We apply Schrijver's semidefinite programming method to obtain improved upper bounds on generalized distances and list decoding radii of binary codes.
Christine Bachoc, Gilles Zémor
STOC
2009
ACM
161views Algorithms» more  STOC 2009»
14 years 7 months ago
List decoding tensor products and interleaved codes
We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. ? We show that for every code, the rat...
Parikshit Gopalan, Venkatesan Guruswami, Prasad Ra...
DCG
2007
79views more  DCG 2007»
13 years 6 months ago
Distance Measures for Well-Distributed Sets
In this paper we investigate the Erd¨os/Falconer distance conjecture for a natural class of sets statistically, though not necessarily arithmetically, similar to a lattice. We pr...
Alex Iosevich, Michael Rudnev
TIT
2002
126views more  TIT 2002»
13 years 6 months ago
Two-dimensional interleaving schemes with repetitions: Constructions and bounds
Abstract--Two-dimensional interleaving schemes with repetitions are considered. These schemes are required for the correction of two-dimensional bursts (or clusters) of errors in a...
Tuvi Etzion, Alexander Vardy
APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
14 years 18 days ago
Better Binary List-Decodable Codes Via Multilevel Concatenation
We give a polynomial time construction of binary codes with the best currently known trade-off between rate and error-correction radius. Specifically, we obtain linear codes ove...
Venkatesan Guruswami, Atri Rudra