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Cyclic Low-Density MDS Array Codes

Cassuto, Yuval and Bruck, Jehoshua (2006) Cyclic Low-Density MDS Array Codes. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechPARADISE:2006.ETR076

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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.


Item Type:Report or Paper (Technical Report)
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URLURL TypeDescription
http://www.paradise.caltech.edu/papers/etr076.pdfPublisherUNSPECIFIED
Group:Parallel and Distributed Systems Group
Record Number:CaltechPARADISE:2006.ETR076
Persistent URL:http://resolver.caltech.edu/CaltechPARADISE:2006.ETR076
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26107
Collection:CaltechPARADISE
Deposited By: Imported from CaltechPARADISE
Deposited On:16 Jul 2006
Last Modified:26 Dec 2012 13:53

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