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Título: Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve
Autor: Geil, Olav
Özbudak, Ferruh
Ruano, Diego
Año del Documento: 2018
Documento Fuente: O. Geil, F. Özbudak, D. Ruano: Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve. Semigroup Forum, accepted for publication.
Resumen: Using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve over a finite field, we construct sequences with improved high nonlinear complexity. In particular we improve the bound obtained in [Theorem 3, IEEE Trans. Inform. Theory 60(10):6696-6701, 2014] considerably and the bound in [Theorem 4, IEEE Trans. Inform. Theory 60(10):6696-6701, 2014] for some parameters.
Revisión por Pares: SI
DOI: https://doi.org/10.1007/s00233-018-9976-8
Patrocinador: This work was supported by The Danish Council for Independent Research (Grant No. DFF-4002-00367), by the Spanish MINECO/FEDER (Grant No. MTM2015-65764-C3-2-P, MTM2015-69138-REDT and RYC-2016-20208 (AEI/FSE/UE)) and by METU Coordinatorship of Scientific Research Projects via grant for projects BAP-01-01-2016-008 and BAP-07-05-2017-007.
Idioma: eng
URI: http://uvadoc.uva.es/handle/10324/32412
Derechos: info:eu-repo/semantics/openAccess
Aparece en las colecciones:DEP96 - Artículos de revista

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