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Título: New binary and ternary LCD codes
Autor: Galindo, Carlos
Geil, Olav
Hernando, Fernando
Ruano, Diego
Año del Documento: 2018
Descripción: Producción Científica
Documento Fuente: IEEE Transactions on Information Theory, accepted for publication
Resumen: LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3. Hence, the study of LCD codes is mainly open for binary and ternary fields. Subfield-subcodes of J-affine variety codes are a generalization of BCH codes which have been successfully used for constructing good quantum codes. We describe binary and ternary LCD codes constructed as subfield-subcodes of J-affine variety codes and provide some new and good LCD codes coming from this construction.
Revisión por Pares: SI
Patrocinador: This work was supported in part by The Danish Council for Independent Research (Grant No. DFF--4002-00367), in part by the Spanish MINECO/FEDER (Grants No. MTM2015-65764-C2-2-P and MTM2015-69138-REDT), in part by University Jaume I (Grant No. P1-1B2015-02), and in part by RYC-2016-20208 (AEI/FSE/UE).
Idioma: eng
Derechos: info:eu-repo/semantics/openAccess
Aparece en las colecciones:DEP96 - Artículos de revista

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