Abstract
In this paper, we study the randomness properties of sequences generated by a function via the additive order. We derive some conditions under which such sequences have the maximum period. The autocorrelation is also studied. For the case of large p, nontrivial upper bounds are given; for the binary case, experimental results show that the autocorrelation of two types of sequences is small compared with the period of sequences.
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Hu, H., Gong, G. (2008). A Study on the Pseudorandom Properties of Sequences Generated Via the Additive Order. In: Golomb, S.W., Parker, M.G., Pott, A., Winterhof, A. (eds) Sequences and Their Applications - SETA 2008. SETA 2008. Lecture Notes in Computer Science, vol 5203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85912-3_5
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DOI: https://doi.org/10.1007/978-3-540-85912-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85911-6
Online ISBN: 978-3-540-85912-3
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