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dc.contributor.authorChen, Zhixionges_ES
dc.contributor.authorGómez Pérez, Domingo es_ES
dc.contributor.authorPirsic, Ísabel es_ES
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2016-02-09T09:24:35Z
dc.date.available2016-02-09T09:24:35Z
dc.date.issued2014-03es_ES
dc.identifier.issn0031-5303es_ES
dc.identifier.issn1588-2829es_ES
dc.identifier.urihttp://hdl.handle.net/10902/8025
dc.description.abstractLattice tests are quality measures for assessing the intrinsic structure of pseudorandom number generators. Recently a new lattice test has been introduced by Niederreiter and Winterhof. In this paper, we present a general inequality that is satisfied by any periodic sequence. Then, we analyze the behavior of the linear congruential generators on elliptic curves (EC-LCG) under this new lattice test and prove that the EC-LCG passes it up to very high dimensions. We also use a result of Brandstätter and Winterhof on the linear complexity profile related to the correlation measure of order k to present lower bounds on the linear complexity profile of some binary sequences derived from the EC-LCG.es_ES
dc.format.extent12 p.es_ES
dc.language.isoenges_ES
dc.publisherAkadémiai Kiadó (Budapest) / Springeres_ES
dc.rights© Springer International Publishing. The final publication is available at Springer via http://dx.doi.org/10.1007/s10998-014-0021-8es_ES
dc.sourcePeriodica Mathematica Hungarica, Volume 68, Issue 1, pp 1-12es_ES
dc.titleOn lattice profile of the elliptic curve linear congruential generatorses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttp://link.springer.com/article/10.1007%2Fs10998-014-0021-8es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1007/s10998-014-0021-8es_ES
dc.type.versionacceptedVersiones_ES


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