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Neural Networks
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CSNA '07 Proceedings of the IASTED International Conference on Communication Systems, Networks, and Applications
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IEEE Communications Letters
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Pattern Recognition Letters
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CCNC'09 Proceedings of the 6th IEEE Conference on Consumer Communications and Networking Conference
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ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
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ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 3
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ICC'09 Proceedings of the 2009 IEEE international conference on Communications
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
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Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
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IEEE Communications Letters
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Future Generation Computer Systems
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Systematic construction and verification methodology for LDPC codes
WASA'11 Proceedings of the 6th international conference on Wireless algorithms, systems, and applications
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AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
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Integration, the VLSI Journal
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MCS'05 Proceedings of the 6th international conference on Multiple Classifier Systems
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ISBMDA'05 Proceedings of the 6th International conference on Biological and Medical Data Analysis
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ICN'05 Proceedings of the 4th international conference on Networking - Volume Part I
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Journal of Signal Processing Systems
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Proceedings of the International Conference on Advances in Computing, Communications and Informatics
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Journal of Parallel and Distributed Computing
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Digital Signal Processing
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Wireless Personal Communications: An International Journal
A class of quantum low-density parity check codes by combining seed graphs
Quantum Information Processing
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Journal of Visual Communication and Image Representation
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CHES'13 Proceedings of the 15th international conference on Cryptographic Hardware and Embedded Systems
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Microelectronics Journal
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Microprocessors & Microsystems
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Autonomous Agents and Multi-Agent Systems
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
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FAST'13 Proceedings of the 11th USENIX conference on File and Storage Technologies
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Digital Signal Processing
Hi-index | 755.87 |
We study two families of error-correcting codes defined in terms of very sparse matrices. “MN” (MacKay-Neal (1995)) codes are recently invented, and “Gallager codes” were first investigated in 1962, but appear to have been largely forgotten, in spite of their excellent properties. The decoding of both codes can be tackled with a practical sum-product algorithm. We prove that these codes are “very good”, in that sequences of codes exist which, when optimally decoded, achieve information rates up to the Shannon limit. This result holds not only for the binary-symmetric channel but also for any channel with symmetric stationary ergodic noise. We give experimental results for binary-symmetric channels and Gaussian channels demonstrating that practical performance substantially better than that of standard convolutional and concatenated codes can be achieved; indeed, the performance of Gallager codes is almost as close to the Shannon limit as that of turbo codes