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» Linear time encodable and list decodable codes
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STOC
1998
ACM
139views Algorithms» more  STOC 1998»
13 years 11 months ago
Analysis of Low Density Codes and Improved Designs Using Irregular Graphs
In [6], Gallager introduces a family of codes based on sparse bipartite graphs, which he calls low-density parity-check codes. He suggests a natural decoding algorithm for these c...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...
TIT
2010
136views Education» more  TIT 2010»
13 years 2 months ago
The existence of concatenated codes list-decodable up to the hamming bound
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
GLOBECOM
2010
IEEE
13 years 5 months ago
Online Network Coding for Time-Division Duplexing
We study an online random linear network coding approach for time division duplexing (TDD) channels under Poisson arrivals. We model the system as a bulk-service queue with variabl...
Daniel Enrique Lucani, Muriel Médard, Milic...
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 7 months ago
Explicit capacity-achieving list-decodable codes
For every 0 < R < 1 and > 0, we present an explicit construction of error-correcting codes of rate R that can be list decoded in polynomial time up to a fraction (1 - R ...
Venkatesan Guruswami, Atri Rudra
STOC
2007
ACM
101views Algorithms» more  STOC 2007»
14 years 7 months ago
The price of privacy and the limits of LP decoding
This work is at the intersection of two lines of research. One line, initiated by Dinur and Nissim, investigates the price, in accuracy, of protecting privacy in a statistical dat...
Cynthia Dwork, Frank McSherry, Kunal Talwar