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» Exact Bounds on the Sizes of Covering Codes
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EUROCRYPT
2005
Springer
14 years 27 days ago
Approximate Quantum Error-Correcting Codes and Secret Sharing Schemes
It is a standard result in the theory of quantum error-correcting codes that no code of length n can fix more than n/4 arbitrary errors, regardless of the dimension of the coding ...
Claude Crépeau, Daniel Gottesman, Adam Smit...
PKC
2009
Springer
126views Cryptology» more  PKC 2009»
14 years 8 months ago
Signing a Linear Subspace: Signature Schemes for Network Coding
Network coding offers increased throughput and improved robustness to random faults in completely decentralized networks. In contrast to traditional routing schemes, however, netw...
Dan Boneh, David Freeman, Jonathan Katz, Brent Wat...
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
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
CORR
2011
Springer
145views Education» more  CORR 2011»
13 years 2 months ago
MDS Array Codes with Optimal Rebuilding
—MDS array codes are widely used in storage systems to protect data against erasures. We address the rebuilding ratio problem, namely, in the case of erasures, what is the the fr...
Itzhak Tamo, Zhiying Wang, Jehoshua Bruck