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CORR
2007
Springer
91views Education» more  CORR 2007»
13 years 4 months ago
Single-Exclusion Number and the Stopping Redundancy of MDS Codes
—For a linear block code C, its stopping redundancy is defined as the smallest number of check nodes in a Tanner graph for C, such that there exist no stopping sets of size smal...
Junsheng Han, Paul H. Siegel, Ron M. Roth
MSN
2005
Springer
13 years 10 months ago
Using MDS Codes for the Key Establishment of Wireless Sensor Networks
Key pre-distribution techniques for security provision of Wireless Sensor Networks (WSNs) have attracted significant interests recently. In these schemes, a relatively small numbe...
Jing Deng, Yunghsiang S. Han
TIT
2008
103views more  TIT 2008»
13 years 4 months ago
Improved Probabilistic Bounds on Stopping Redundancy
For a linear code , the stopping redundancy of is defined as the minimum number of check nodes in a Tanner graph T for such that the size of the smallest stopping set in T is equal...
Junsheng Han, Paul H. Siegel, Alexander Vardy
TIT
2008
102views more  TIT 2008»
13 years 4 months ago
Average Stopping Set Weight Distributions of Redundant Random Ensembles
In this paper, redundant random ensembles are defined and their average stopping set (SS) weight distributions are analyzed. A redundant random ensemble consists of a set of binar...
Tadashi Wadayama
CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 4 months ago
Security in Distributed Storage Systems by Communicating a Logarithmic Number of Bits
Abstract--We investigate the problem of maintaining an encoded distributed storage system when some nodes contain adversarial errors. Using the error-correction capabilities that a...
Theodoros K. Dikaliotis, Alexandros G. Dimakis, Tr...