Published July 2006 | Published
Book Section - Chapter Open

Cyclic Low-Density MDS Array Codes

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Abstract

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.

Additional Information

© 2006 IEEE. This work was supported in part by the Caltech Lee Center for Advanced Networking and by NSF grant ANI-0322475.

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