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Title: On pseudorandom [0, 1 and binary sequences
Authors: Mauduit, C.
Niederreiter, H. 
Sarközy, A.
Keywords: Correlation measures
Legendre symbol sequences
Linear congruential method
Pseudorandom binary sequences
Uniform pseudorandom sequences
Issue Date: 2007
Citation: Mauduit, C.,Niederreiter, H.,Sarközy, A. (2007). On pseudorandom [0, 1 and binary sequences. Publicationes Mathematicae 71 (3-4) : 305-324. ScholarBank@NUS Repository.
Abstract: This paper studies links between uniform pseudorandom sequences of real numbers in [0, 1) and pseudorandom binary sequences. It is proved that good pseudorandom [0, 1) sequences induce binary sequences that have small correlation and well-distribution measures. On the other hand, given a binary sequence with small combined well-distribution-correlation measure, it is shown how to construct a [0, 1) sequence with small discrepancy. The special cases of linear congruential pseudorandom sequences and of Legendre symbol sequences are analyzed in more detail.
Source Title: Publicationes Mathematicae
ISSN: 00333883
Appears in Collections:Staff Publications

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