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Cyclic Low-Density MDS Array Codes

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2 Author(s)
Yuval Cassuto ; Department of Electrical Engineering, California Institute of Technology, Pasadena, CA 91125, U.S.A. Email: ycassuto@paradise.caltech.edu ; Jehoshua Bruck

We construct two infinite families of low density MDS array codes which are also cyclic. One of these families includes the first such sub-family with redundancy parameter r > 2. The two constructions have different algebraic formulations, though they both have the same indirect structure. First MDS codes that are not cyclic are constructed and then by applying a certain mapping to their parity check matrices, non-equivalent cyclic codes with the same distance and density properties are obtained. Using the same proof techniques, a third infinite family of quasi-cyclic codes can be constructed

Published in:

2006 IEEE International Symposium on Information Theory

Date of Conference:

9-14 July 2006