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Quadriphase Sequences Obtained from Binary Quadratic Form Sequences

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Sequences and Their Applications - SETA 2004 (SETA 2004)

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

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Abstract

The development of the theory of Z 4 maximal length sequences in the last decade led to the discovery of several families of optimal quadriphase sequences. In theory, the construction uses the properties of Galois rings. In this paper, we propose a method for constructing quadriphase sequences using binary sequences based on quadratic forms. The study uses only the properties of Galois fields instead of Galois rings. We demonstrate the theory by constructing a new family of Z 4 sequences with low correlation property.

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Author information

Authors and Affiliations

  1. Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China

    Xiaohu Tang & Pingzhi Fan

  2. Department of Computer Science and Software Engineering, University of Melbourne, VIC, 3010, Australia

    Parampalli Udaya

Authors
  1. Xiaohu Tang
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  2. Parampalli Udaya
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  3. Pingzhi Fan
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Editor information

Editors and Affiliations

  1. Department of Informatics, University of Bergen, PB 7803, 5020, Bergen, Norway

    Tor Helleseth

  2. University of Ilinois at Urbana-Champaign, 1406 West Green Street, IL 61801, Urbana, USA

    Dilip Sarwate

  3. Department of Electrical and Electronic Engineering, Yonsei University, 121-749, Seoul, Korea

    Hong-Yeop Song

  4. Dept. of Electronics and Electrical Engineering, Pohang University of Science and Technology (POSTECH), 790-784, Pohang, Kyungbuk, Korea

    Kyeongcheol Yang

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© 2005 Springer-Verlag Berlin Heidelberg

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Tang, X., Udaya, P., Fan, P. (2005). Quadriphase Sequences Obtained from Binary Quadratic Form Sequences. 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_17

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  • DOI: https://doi.org/10.1007/11423461_17

  • 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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