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Construction of pseudorandom binary lattices using elliptic curves

Author: László Mérai
Journal: Proc. Amer. Math. Soc. 139 (2011), 407-420
MSC (2010): Primary 11K45
Published electronically: September 30, 2010
MathSciNet review: 2736325
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Abstract: In an earlier paper, Hubert, Mauduit and Sárközy introduced and studied the notion of pseudorandomness of binary lattices. Later constructions were given by using characters and the notion of a multiplicative inverse over finite fields. In this paper a further large family of pseudorandom binary lattices is constructed by using elliptic curves.

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László Mérai
Affiliation: Alfréd Rényi Institute of Mathematics, Budapest, Pf. 127, H-1364 Hungary

Keywords: Pseudorandom, binary sequence, binary lattice, elliptic curve, character sum
Received by editor(s): February 5, 2010
Published electronically: September 30, 2010
Additional Notes: This research was partially supported by the Hungarian National Foundation for Scientific Research, Grant No. K67676, and by the Momentum Fund of the Hungarian Academy of Sciences.
Communicated by: Jim Haglund
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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