Published July 2006
| Published
Book Section - Chapter
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Cyclic Low-Density MDS Array Codes
- Creators
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Cassuto, Yuval
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Bruck, Jehoshua
Chicago
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.Attached Files
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Additional details
- Eprint ID
- 77510
- Resolver ID
- CaltechAUTHORS:20170516-163950291
- Caltech Lee Center for Advanced Networking
- NSF
- ANI-0322475
- Created
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2017-05-16Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field