2026-03-12T07:50:45Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/317222024-12-18T15:53:22Zcom_10324_32197com_10324_952com_10324_894com_10324_1129com_10324_931col_10324_32199col_10324_1193

Galindo, Carlos 3e72a102-2115-4d95-8393-22de79741007 500 Geil, Olav e834375e-ee57-4bbe-8a11-2c392a375f17 500 Hernando, Fernando 1af7eb77-9739-46e0-b148-c908a1bafb20 500 Ruano Benito, Diego 721b449b68d900c9 500 0000-0001-7304-0087 2018-09-24T11:46:46Z 2018-09-24T11:46:46Z 2018 IEEE Transactions on Information Theory. Volume 64, Issue 4, pages 2444-2459 (2018) http://uvadoc.uva.es/handle/10324/31722 Producción Científica Two new constructions of linear nested code pairs are given for which the codimension and the relative minimum distances of the codes and their duals 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. They can also be used to ensure reliable communication over asymmetric quantum channels. The new constructions result from carefully applying the Feng-Rao bounds to a family of codes defined from multivariate polynomials and Cartesian product point sets. The Danish Council for Independent Research (Grant N. DFF–4002-00367) Ministerio de Economía, Industria y Competitividad (Projects MTM2015-65764-C3-2-P and MTM2015-69138-REDT) University Jaume I (Grant N. P1-1B2015-02) application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 International Improved constructions of nested code pairs info:eu-repo/semantics/article https://ieeexplore.ieee.org/document/8048519/ SI ORIGINAL IEEE2018eprint1.pdf IEEE2018eprint1.pdf application/pdf 358841 https://uvadoc.uva.es/bitstream/10324/31722/1/IEEE2018eprint1.pdf 9f0c56e1cbc4f712e89029ce1fa4bfa3 MD5 1 LICENSE license.txt license.txt text/plain 4250 https://uvadoc.uva.es/bitstream/10324/31722/5/license.txt 909e634ba52becf192e4e9b4bcde7863 MD5 5 CC-LICENSE license_url license_url text/plain 49 https://uvadoc.uva.es/bitstream/10324/31722/2/license_url 4afdbb8c545fd630ea7db775da747b2f MD5 2 license_text license_text text/html; charset=utf-8 0 https://uvadoc.uva.es/bitstream/10324/31722/3/license_text d41d8cd98f00b204e9800998ecf8427e MD5 3 license_rdf license_rdf application/rdf+xml; charset=utf-8 0 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