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 (Unpublished) http://resolver.caltech.edu/CaltechPARADISE:2006.ETR076
See Usage Policy.
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechPARADISE:2006.ETR076
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)|
|Group:||Parallel and Distributed Systems Group|
|Usage Policy:||You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.|
|Deposited By:||Imported from CaltechPARADISE|
|Deposited On:||16 Jul 2006|
|Last Modified:||26 Dec 2012 13:53|
Repository Staff Only: item control page