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TIT
2008
122views more  TIT 2008»
13 years 7 months ago
An Efficient Pseudocodeword Search Algorithm for Linear Programming Decoding of LDPC Codes
Abstract--In linear programming (LP) decoding of a low-density parity-check (LDPC) code one minimizes a linear functional, with coefficients related to log-likelihood ratios, over ...
Michael Chertkov, Mikhail G. Stepanov
TIT
2002
70views more  TIT 2002»
13 years 7 months ago
High-rate codes that are linear in space and time
Multiple-antenna systems that operate at high rates require simple yet effective space-time transmission schemes to handle the large traffic volume in real time. At rates of tens ...
Babak Hassibi, Bertrand M. Hochwald
STOC
2009
ACM
161views Algorithms» more  STOC 2009»
14 years 8 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...
TIT
2008
110views more  TIT 2008»
13 years 7 months ago
Explicit Codes Achieving List Decoding Capacity: Error-Correction With Optimal Redundancy
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
Venkatesan Guruswami, Atri Rudra
COCOON
2009
Springer
14 years 1 months ago
Limits to List Decoding Random Codes
It has been known since [Zyablov and Pinsker 1982] that a random q-ary code of rate 1 − Hq(ρ) − ε (where 0 < ρ < 1 − 1/q, ε > 0 and Hq(·) is the q-ary entropy ...
Atri Rudra