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» Combinatorial bounds for list decoding
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STOC
2006
ACM
130views Algorithms» more  STOC 2006»
16 years 6 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»
15 years 6 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
181
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STOC
2003
ACM
171views Algorithms» more  STOC 2003»
16 years 6 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
185
Voted
IPL
2011
96views more  IPL 2011»
15 years 28 days 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»
16 years 6 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