New binary and ternary LCD codes

Galindo, Carlos; Geil, Olav; Hernando, Fernando; Ruano Benito, Diego

doi:10.1109/TIT.2018.2834500

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Título

New binary and ternary LCD codes

Autor

Año del Documento

2018

Descripción

Producción Científica

Documento Fuente

IEEE Transactions on Information Theory, accepted for publication

Abstract

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

DOI

10.1109/TIT.2018.2834500

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).