A construction of MDS array codes
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http://hdl.handle.net/10045/41222
| Title: | A construction of MDS array codes |
|---|---|
| Authors: | Cardell, Sara D. | Climent, Joan-Josep | Requena Arévalo, Verónica |
| Research Group/s: | Grupo de Álgebra y Geometría (GAG) |
| Center, Department or Service: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa |
| Keywords: | Array code | MDS code | Block linear code | Finite field | Superregular matrix | Companion matrix | Primitive polynomial |
| Knowledge Area: | Álgebra |
| Issue Date: | 2013 |
| Publisher: | WIT Press |
| Citation: | WIT Transactions on Information and Communication Technologies. 2013, 45: 47-58. doi:10.2495/DATA130051 |
| Abstract: | In this paper a new construction of MDS array codes is introduced. In order to obtain a code with this property, the parity-check matrix is constructed just using a superregular matrix of blocks composed of powers of the companion matrix of a primitive polynomial. Also a decoding algorithm for these codes is introduced. |
| Sponsor: | The work of the first and the second authors was partially supported by Spanish grant MTM2011-24858 of the Ministerio de Economía y Competitividad of the Gobierno de España. The work of first author was also partially supported by a grant for research students from the Generalitat Valenciana with reference BFPI/2008/138. The work of the third author was partially supported by the research project UMH-Bancaja with reference IPZS01. |
| URI: | http://hdl.handle.net/10045/41222 |
| ISSN: | 1746-4463 (Print) | 1743-3517 (Online) |
| DOI: | 10.2495/DATA130051 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Rights: | © 2013 WIT Press |
| Peer Review: | si |
| Publisher version: | http://dx.doi.org/10.2495/DATA130051 |
| Appears in Collections: | INV - GAG - Artículos de Revistas |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
 MDSArrayCodes-v5f.pdf | Versión revisada (acceso abierto) | 224,75 kB | Adobe PDF | Open Preview |
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