Expander codes

Using expander graphs, we construct a new family of asymptotically good, linear error-correcting codes. These codes have linear time sequential decoding algorithms and logarithmic time parallel decoding algorithms that use a linear number of processors. We present both randomized and explicit constr...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 42; no. 6; pp. 1710 - 1722
Main Authors: Sipser, M., Spielman, D.A.
Format: Journal Article
Language:English
Published: New York IEEE 01.11.1996
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithm design and analysis
Algorithms
Bipartite graph
Circuits
Codes
Computational modeling
Decoding
Error correction codes
Fault tolerance
Graph theory
Information technology
Linear code
Parity check codes
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:Using expander graphs, we construct a new family of asymptotically good, linear error-correcting codes. These codes have linear time sequential decoding algorithms and logarithmic time parallel decoding algorithms that use a linear number of processors. We present both randomized and explicit constructions of these codes. Experimental results demonstrate the good performance of the randomly chosen codes.
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ISSN:0018-9448
1557-9654
DOI:10.1109/18.556667