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» Combinatorial bounds for list decoding
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STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 8 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
CORR
2007
Springer
146views Education» more  CORR 2007»
13 years 7 months ago
Coding for Errors and Erasures in Random Network Coding
Abstract—The problem of error-control in random linear network coding is considered. A “noncoherent” or “channel oblivious” model is assumed where neither transmitter nor...
Ralf Koetter, Frank R. Kschischang
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 8 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
IPL
2011
96views more  IPL 2011»
13 years 2 months ago
Restricted compositions and permutations: From old to new Gray codes
Any Gray code for a set of combinatorial objects defines a total order relation on this set: x is less than y if and only if y occurs after x in the Gray code list. Let ≺ denot...
Vincent Vajnovszki, Rémi Vernay
STOC
2001
ACM
163views Algorithms» more  STOC 2001»
14 years 8 months ago
Extractor codes
We study error-correcting codes for highly noisy channels. For example, every received signal in the channel may originate from some half of the symbols in the alphabet. Our main c...
Amnon Ta-Shma, David Zuckerman