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The dimension of subcode-subfields of shortened generalized Reed–Solomon codes
dc.contributor.author | Hernando, Fernando | |
dc.contributor.author | Marshall, Kyle | |
dc.contributor.author | O'Sullivan, Michael E. | |
dc.date.accessioned | 2013-05-30T18:09:59Z | |
dc.date.available | 2013-05-30T18:09:59Z | |
dc.date.issued | 2012-03 | |
dc.identifier.uri | http://hdl.handle.net/10234/65179 | |
dc.description.abstract | Reed–Solomon (RS) codes are among the most ubiquitous codes due to their good parameters as well as efficient encoding and decoding procedures. However, RS codes suffer from having a fixed length. In many applications where the length is static, the appropriate length can be obtained from an RS code by shortening or puncturing. Generalized Reed–Solomon (GRS) codes are a generalization of RS codes, whose subfield-subcodes (SFSC) are extensively studied. In this paper we show that a particular class of GRS codes produces many SFSC with large dimension. We present two algorithms for searching through these codes and a list of new best-known codes obtained. | ca_CA |
dc.format.extent | 12 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer US | ca_CA |
dc.relation.isPartOf | Designs, Codes and Cryptography. 2012 March | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Subfield-subcodes | ca_CA |
dc.subject | Generalized Reed–Solomon codes | ca_CA |
dc.subject | Dimension | ca_CA |
dc.subject | New codes | ca_CA |
dc.title | The dimension of subcode-subfields of shortened generalized Reed–Solomon codes | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s10623-012-9628-z | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007/s10623-012-9628-z | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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