New binary and ternary LCD codes
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Título
New binary and ternary LCD codesFecha de publicación
2018-05-09Editor
IEEECita bibliográfica
GALINDO, Carlos, et al. New binary and ternary LCD codes. IEEE Transactions on Information Theory, 2018, 65.2: 1008-1016.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://ieeexplore.ieee.org/abstract/document/8356685Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
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 ... [+]
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. Subfieldsubcodes 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. [-]
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