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Improved constructions of nested code pairs
dc.contributor.author | Galindo, Carlos | |
dc.contributor.author | Geil, Olav | |
dc.contributor.author | Hernando, Fernando | |
dc.contributor.author | Ruano, Diego | |
dc.date.accessioned | 2018-02-19T08:39:17Z | |
dc.date.available | 2018-02-19T08:39:17Z | |
dc.date.issued | 2017-09 | |
dc.identifier.citation | GALINDO, Carlos, et al. Improved constructions of nested code pairs. IEEE Transactions on Information Theory, 2017. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/172910 | |
dc.description.abstract | Two new constructions of linear code pairs C2 ⊂ C1 are given for which the codimension and the relative minimum distances M1(C1,C2), M1(C┴2 , C┴1) are good. By this we mean that for any two out of the three parameters the third parameter of the constructed code pair is large. Such pairs of nested codes are indispensable for the determination of good linear ramp secret sharing schemes [40]. They can also be used to ensure reliable communication over asymmetric quantum channels [54]. The new constructions result from carefully applying the Feng-Rao bounds [21], [31] to a family of codes defined from multivariate polynomials and Cartesian product point sets. | ca_CA |
dc.format.extent | 36 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | IEEE | ca_CA |
dc.rights | © Copyright 2018 IEEE - All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | asymmetric quantum code | ca_CA |
dc.subject | CSS construction | ca_CA |
dc.subject | Feng-Rao bound | ca_CA |
dc.subject | nested codes | ca_CA |
dc.subject | ramp secret sharing | ca_CA |
dc.subject | relative generalized Hamming weight | ca_CA |
dc.subject | relative minimum distance | ca_CA |
dc.subject | wiretap channel of type II | ca_CA |
dc.title | Improved constructions of nested code pairs | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://dx.doi.org/10.1109/TIT.2017.2755682 | |
dc.relation.projectID | The Danish Council for Independent Research (Grant No. DFF–4002-00367); Spanish MINECO/FEDER (Grants No. MTM2015-65764-C2-2-P and MTM2015-69138-REDT); University Jaume I (Grant No. P1-1B2015-02) | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://ieeexplore.ieee.org/abstract/document/8048519/ | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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