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Journal of Information Science and Engineering, Vol. 30 No. 5, pp. 1635-1654

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

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