Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve

Geil, Olav; Özbudak, Ferruh; Ruano Benito, Diego

doi:https://doi.org/10.1007/s00233-018-9976-8

Título

Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve

dc.contributor.author	Geil, Olav
dc.contributor.author	Özbudak, Ferruh
dc.contributor.author	Ruano Benito, Diego
dc.date.accessioned	2018-10-31T13:33:52Z
dc.date.available	2018-10-31T13:33:52Z
dc.date.issued	2018
dc.identifier.citation	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.	es
dc.identifier.uri	http://uvadoc.uva.es/handle/10324/32412
dc.description.abstract	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.	es
dc.format.mimetype	application/pdf	es
dc.language.iso	eng	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.title	Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve	es
dc.type	info:eu-repo/semantics/article	es
dc.identifier.doi	https://doi.org/10.1007/s00233-018-9976-8	es
dc.peerreviewed	SI	es
dc.description.project	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.	es
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International

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