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Título
Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower
Año del Documento
2017
Descripción
Producción Científica
Documento Fuente
Journal of Algebra Combinatorics Discrete Structures and Applications. Volume 4, Issue 1, pages 37-47 (2017)
Abstract
Asymptotically good sequences of ramp secret sharing schemes were given in [arXiv:1502.05507] by using one-point algebraic geometric codes defined from asymptotically good towers of function fields. Their security is given by the relative generalized Hamming weights of the corresponding codes. In this paper we demonstrate how to obtain refined information on the RGHWs when the codimension of the codes is small. For general codimension, we give an improved estimate for the highest RGHW.
Revisión por pares
SI
Patrocinador
Supported by the Danish Council for Independent Research, grant DFF-4002-00367 and the Spanish Ministry of Economy, grant MTM2015-65764-C3-2-P
Version del Editor
Idioma
eng
Derechos
openAccess
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