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» On the Number of Errors Correctable with Codes on Graphs
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STACS
2010
Springer
14 years 2 months ago
Efficient and Error-Correcting Data Structures for Membership and Polynomial Evaluation
We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with...
Victor Chen, Elena Grigorescu, Ronald de Wolf
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
ALGORITHMICA
2006
100views more  ALGORITHMICA 2006»
13 years 7 months ago
Error Compensation in Leaf Power Problems
The k-Leaf Power recognition problem is a particular case of graph power problems: For a given graph it asks whether there exists an unrooted tree--the k-leaf root--with leaves on...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
ISAAC
2004
Springer
94views Algorithms» more  ISAAC 2004»
14 years 23 days ago
Error Compensation in Leaf Root Problems
The k-Leaf Root problem is a particular case of graph power problems. Here, we study “error correction” versions of k-Leaf Root—that is, for instance, adding or deleting at m...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
ECCC
2011
188views ECommerce» more  ECCC 2011»
13 years 2 months ago
Three Query Locally Decodable Codes with Higher Correctness Require Exponential Length
Locally decodable codes are error correcting codes with the extra property that, in order to retrieve the correct value of just one position of the input with high probability, it...
Anna Gál, Andrew Mills