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Crosscorrelation Properties of Binary Sequences with Ideal Two-Level Autocorrelation

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Sequences and Their Applications – SETA 2006 (SETA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4086))

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Abstract

For odd n, binary sequences of period 2n–1 with ideal two-level autocorrelation are investigated with respect to 3- or 5-valued crosscorrelation property between them. At most 5-valued crosscorrelation of m-sequences is first discussed, which is linked to crosscorrelation of some other binary two-level autocorrelation sequences. Then, several theorems and conjectures are established for describing 3- or 5-valued crosscorrelation of a pair of binary two-level autocorrelation sequences.

This work was supported by NSERC Grant RGPIN 227700-00.

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Yu, N.Y., Gong, G. (2006). Crosscorrelation Properties of Binary Sequences with Ideal Two-Level Autocorrelation. In: Gong, G., Helleseth, T., Song, HY., Yang, K. (eds) Sequences and Their Applications – SETA 2006. SETA 2006. Lecture Notes in Computer Science, vol 4086. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11863854_9

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  • DOI: https://doi.org/10.1007/11863854_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44523-4

  • Online ISBN: 978-3-540-44524-1

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