@article{10902/8025,
year = {2014},
month = {3},
url = {http://hdl.handle.net/10902/8025},
abstract = {Lattice 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.},
publisher = {Akadémiai Kiadó (Budapest) / Springer},
publisher = {Periodica Mathematica Hungarica, Volume 68, Issue 1, pp 1-12},
title = {On lattice profile of the elliptic curve linear congruential generators},
author = {Chen, Zhixiong and Gómez Pérez, Domingo and Pirsic, Ísabel},
}