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Journal of Information Science and Engineering, Vol. 30 No. 4, pp. 1635-1654 (September 2014)


A Note on Large Families of Pseudorandom Binary Sequences and Lattices*


HUANING LIU1 AND JING GAO2
1Department of Mathematics
Northwest University
Xi'an, 710069 P.R. China
2Department of Mathematical Sciences
Xi'an Jiaotong University
Xi'an, 710049 P.R. China

Pseudorandom binary sequences and lattices play an important role in cryptography, so in a series of papers many sequences and lattices have been given and studied. In this paper we presented a few large families of pseudorandom binary sequences and lattices, and generalized some existed constructions.

Keywords: pseudorandom binary sequence, lattice, exponential sum, subset, multiplicative inverse, character

Full Text () Retrieve PDF document (201409_19.pdf)

Received September 11, 2012; accepted December 3, 2012.
Communicated by Wen-Guey Tzeng.
* This work was supported by National Nature Science Foundation of China (No. 11201370 and No. 10901128), Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20090201120061), and the Fundamental Research Funds for the Central University.