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Distribution of r-Patterns in the Most Significant Bit of a Maximum Length Sequence over \({\mathbb Z}_{2^l}\)

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3486))

Abstract

The number of subwords of length r and of given value within a period of a sequence in the title is shown to be close to equidistribution. Important tools in the proof are a higher order correlation and Galois ring character sum estimates.

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© 2005 Springer-Verlag Berlin Heidelberg

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Solé, P., Zinoviev, D. (2005). Distribution of r-Patterns in the Most Significant Bit of a Maximum Length Sequence over \({\mathbb Z}_{2^l}\) . In: Helleseth, T., Sarwate, D., Song, HY., Yang, K. (eds) Sequences and Their Applications - SETA 2004. SETA 2004. Lecture Notes in Computer Science, vol 3486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11423461_20

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  • DOI: https://doi.org/10.1007/11423461_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26084-4

  • Online ISBN: 978-3-540-32048-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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