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Trace Representation of the Sequences Derived from Polynomial Quotient

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Cloud Computing and Security (ICCCS 2018)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 11066))

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Abstract

The discrete Fourier transform and trace representation of certain sequences can help generate the sequences efficiently and analyse their cryptographic properties. In this paper, we first determine the defining pairs of the binary sequences derived from a class of polynomial quotient modulo an odd prime p and the Legendre symbol. We then derive the discrete Fourier transform and the trace representation of this class of sequences.

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Acknowledgement

X. N. Du was partially supported by the National Natural Science Foundation of China (grants No. 61462077 and 61772022). C. Wu is partially supported by the National Natural Science Foundation of China (grant No. 61772292) and 2016 Development Program for Distinguished Young Scientific Research Talent of Universities in Fujian Province.

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Authors and Affiliations

  1. Northwest Normal University, Lanzhou, 730070, Gansu, People’s Republic of China

    Liping Zhao & Xiaoni Du

  2. Putian University, Putian, 351100, Fujian, People’s Republic of China

    Chenhuang Wu

Authors
  1. Liping Zhao
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  2. Xiaoni Du
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  3. Chenhuang Wu
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Corresponding author

Correspondence to Liping Zhao .

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Editors and Affiliations

  1. Nanjing University of Information Science and Technology, Nanjing, China

    Xingming Sun

  2. Nanjing University of Information Science and Technology, Nanjing, China

    Zhaoqing Pan

  3. Department of Computer Science, Purdue University, West Lafayette, IN, USA

    Elisa Bertino

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Zhao, L., Du, X., Wu, C. (2018). Trace Representation of the Sequences Derived from Polynomial Quotient. In: Sun, X., Pan, Z., Bertino, E. (eds) Cloud Computing and Security. ICCCS 2018. Lecture Notes in Computer Science(), vol 11066. Springer, Cham. https://doi.org/10.1007/978-3-030-00015-8_3

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  • DOI: https://doi.org/10.1007/978-3-030-00015-8_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00014-1

  • Online ISBN: 978-3-030-00015-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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