A family of binary threshold sequences constructed by using the multiplicative inverse

Authors:
Zhixiong Chen;Xiangguo Cheng;Chenhuang Wu
Affiliations:
Laboratory of Applied Mathematics, Putian University, Fujian, China;College of Information Engineering, Qingdao University, Qingdao, Shandong, P.R. China;Laboratory of Applied Mathematics, Putian University, Fujian, China
Venue:
Inscrypt'10 Proceedings of the 6th international conference on Information security and cryptology
Year:
2010

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Abstract

We point out that a family of pseudorandom binary lattices, which were constructed by using the multiplicative inverse, can be generated as binary threshold sequences. Hence we can estimate the well-distribution measure and the correlation measure of order l of the binary lattices in terms of discrepancy bounds on corresponding pseudorandom numbers in the interval [0, 1). We also consider the modified well-distribution measure and the modified correlation measure of order l, which were introduced by Sárközy and Winterhof, for the binary lattices.