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A large family of pseudorandom binary lattices


Author: Huaning Liu
Journal: Proc. Amer. Math. Soc. 137 (2009), 793-803
MSC (2000): Primary 11K45
DOI: https://doi.org/10.1090/S0002-9939-08-09706-2
Published electronically: October 29, 2008
MathSciNet review: 2457416
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Abstract: Recently P. Hubert, C. Mauduit and A. Sárközy introduced and studied the notion of pseudorandomness of binary lattices and gave a pseudorandom binary lattice. Later in other papers C. Mauduit and A. Sárközy constructed some large families of ``good'' binary lattices. In this paper a large family of pseudorandom binary lattices is presented by using the multiplicative inverse and the quadratic character of finite fields.


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Additional Information

Huaning Liu
Affiliation: Department of Mathematics, Northwest University, Xi’an, Shaanxi, People’s Republic of China
Email: hnliumath@hotmail.com

DOI: https://doi.org/10.1090/S0002-9939-08-09706-2
Keywords: Pseudorandom binary lattice, quadratic character, multiplicative inverse
Received by editor(s): November 28, 2007
Published electronically: October 29, 2008
Additional Notes: This research was supported by the National Grand Fundamental Research 973 Programs of China under Grants 2007CB807902 and 2007CB807903.
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.