Abstract
Let \(r\) be an arbitrary positive integer greater than \(1\) and \(n=3r\). For the decimation \(d=3^{r}+2\) or \(3^{2r}+2\), the cross-correlation distribution between a ternary \(m\)-sequence and its \(d\)-decimated sequence is completely determined. The result presented in this paper generalizes the recent work of Zhang, Li, Feng and Ge, and settles a conjecture proposed by them.
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Acknowledgment
Y. Xia was supported by the National Natural Science Foundation of China (NSFC) under Grant 11301552, and the Natural Science Foundation of Hubei Province under Grant 2012FFB07403. T. Helleseth and G. Wu were supported by the Norwegian Research Council. This work was done while the first author was visiting the Department of Informatics, University of Bergen, Norway, during Sept. 2013 to Sept. 2014. He is grateful for the hospitality and support.
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Xia, Y., Helleseth, T., Wu, G. (2014). A Note on Cross-Correlation Distribution Between a Ternary \(m\)-Sequence and Its Decimated Sequence. In: Schmidt, KU., Winterhof, A. (eds) Sequences and Their Applications - SETA 2014. SETA 2014. Lecture Notes in Computer Science(), vol 8865. Springer, Cham. https://doi.org/10.1007/978-3-319-12325-7_21
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DOI: https://doi.org/10.1007/978-3-319-12325-7_21
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