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Sequences and their Applications

Proceedings of SETA ’01

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. T. Helleseth

    1. Department of Informatics, University of Bergen, Bergen, Norway

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  2. P. V. Kumar

    1. Communication Sciences Institute, Department of Electrical Engineering Systems, University of Southern California, Los Angeles, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. K. Yang

    1. Department of Electronic and Electrical Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Kyungbuk, Korea

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Discrete Mathematics and Theoretical Computer Science (DISCMATH)

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Table of contents (24 papers)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  3. Regular Contributions

    1. Description of Binary Sequences Based on the Interval Linear Complexity Profile

      • Vladimir B. Balakirsky
      Pages 101-115

    2. On the Number of Kernel Elements of Automatic Sequences

      • André Barbé, Fritz von Haeseler
      Pages 116-130

    3. On the Coset Weight Divisibility and Nonlinearity of Resilient and Correlation-Immune Functions

      • Claude Carlet
      Pages 131-144

    4. On the Linear Complexity of Generalised Legendre Sequence

      • Zongduo Dai, Junhui Yang, Guang Gong, Ping Wang
      Pages 145-153

    5. Hyper-Cyclotomic Algebra

      • Solomon W. Golomb, Guang Gong
      Pages 154-165

    6. Cyclic Projective Planes, Perfect Circular Rulers, and Good Spanning Rulers

      • Solomon W. Golomb, Herbert Taylor
      Pages 166-181

    7. Linear Recursive Sequences over Elliptic Curves

      • Guang Gong, Charles C. Y. Lam
      Pages 182-196

    8. On the Distinctness of Decimations of ℓ-Sequences

      • Mark Goresky, Andrew Klapper, Ram Murty
      Pages 197-208

    9. On Binary Sequences of Period n = pm ∓ 1 with Optimal Autocorrelation

      • Tor Helleseth, Kyeongcheol Yang
      Pages 209-217

    10. On the Profile of the k-Error Linear Complexity and the Zero Sum Property for Sequences over GF(p m) with Period p n

      • Takayasu Kaida, Satoshi Uehara, Kyoki Imamura
      Pages 218-227

    11. Constant Sum Implies Statistical Independence of Chaotic Sequences

      • Tohru Kohda
      Pages 228-241

    12. First-Order Optimal Approximation of Binary Sequences

      • Nicholas Kolokotronis, Panagiotis Rizomiliotis, Nicholas Kalouptsidis
      Pages 242-256

    13. On the Uniformity of Distribution of Congruential Generators over Elliptic Curves

      • Edwin El Mahassni, Igor Shparlinski
      Pages 257-264
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Keywords

About this book

Pseudorandom sequences have widespread applications, for instance, in spread spectrum, code division multiple access, optical and ultrawide band communication systems, as well as in ranging systems global positioning systems, circuit testing and stream ciphers. Such sequences also have strong ties to error-correcting codes.
This volume contains survey and research papers on sequences and their applications. It brings together leading experts from discrete mathematics, computer science and communications engineering, and helps to bridge advances in these different areas. Papers in this volume discuss the theory of sequences and their applications in cryptography, coding theory, communications systems, numerical computation and computer simulation.

Editors and Affiliations

  • Department of Informatics, University of Bergen, Bergen, Norway

    T. Helleseth

  • Communication Sciences Institute, Department of Electrical Engineering Systems, University of Southern California, Los Angeles, USA

    P. V. Kumar

  • Department of Electronic and Electrical Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Kyungbuk, Korea

    K. Yang

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