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Mathematical Properties of Sequences and Other Combinatorial Structures

  • Book
  • © 2003

Overview

Editors:
  1. Jong-Seon No

    1. Seoul National University, Seoul, Korea

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  2. Hong-Yeop Song

    1. Yonsei University, Seoul, Korea

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  3. Tor Helleseth

    1. University of Bergen, Bergen, Norway

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  4. P. Vijay Kumar

    1. University of Southern California, Los Angeles, USA

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Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 726)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Pairs of M-Sequences with a Six-Valued Crosscorrelation

    • Tor Helleseth
    Pages 1-6

  3. Permutation Polynomials, Tuscan-K Arrays and Costas Sequences

    • Wensong Chu
    Pages 7-16

  4. Periods of Piecewise-Linear Recurrences

    • Basil Gordon
    Pages 17-22

  5. Trace Representation of Hall’s Sextic Residue Sequences of Period P ≡ 7 (mod 8)

    • Jeong-Heon Kim, Hong-Yeop Song, Guang Gong
    Pages 23-32

  6. Array Correlation and Sequences with Equal Magnitude Correlation

    • Guang Gong
    Pages 33-43

  7. Singly Periodic Costas Arrays are Equivalent to Polygonal Path Vatican Squares

    • Herbert Taylor
    Pages 45-53

  8. Survey on Costas Arrays and Their Generalizations

    • Oscar Moreno
    Pages 55-64

  9. On P-Ary Bent Functions Defined on Finite Fields

    • Young-Sik Kim, Ji-Woong Jang, Jong-Seon No, Tor Helleseth
    Pages 65-76

  10. Distribution of R-Patterns in the Highest Level of P-Adic Expansion of Some Linear Recursion Sequences Over Galois Rings

    • Zongduo Dai, Dingfeng Ye, Ping Wang, Genxi Fang
    Pages 77-83

  11. On Edit Distance Attack to Alternating Step Generator

    • Shaoquan Jiang, Guang Gong
    Pages 85-92

  12. Polyomino Number Theory (II)

    • Uldis Barbans, Andris Cibulis, Gilbert Lee, Andy Liu, Bob Wainwright
    Pages 93-100

  13. Achievement Games for Polyominoes on Archimedean Tessellations

    • Jens-P. Bode, Heiko Harborth
    Pages 101-112

  14. What’s New in Polyomino Puzzles and Their Design

    • Stewart Coffin, Jerry Slocum
    Pages 113-119

  15. Euler Sums Revisited

    • Tom M. Apostol
    Pages 121-132

  16. Hardy-Littlewood Constants

    • Keith Conrad
    Pages 133-154

  17. On the Parity of a Permutation

    • David Singmaster
    Pages 155-157

  18. Irreducibles of Tetranomial Type

    • Alfred W. Hales, Donald W. Newhart
    Pages 159-168

  19. A Method of Deterministically Generating Block Substitution Tables which Meet a Given Standard of Nonlinearity

    • Lothrop Mittenthal
    Pages 169-180

  20. Tilings with Generalized Lee Spheres

    • Tuvi Etzion
    Pages 181-198
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Keywords

About this book

Mathematical Properties of Sequences and Other Combinatorial Structures is an excellent reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory.

The work represents a collection of contributions from leading experts in the field. Contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Solomon W. Golomb.

Mathematical Properties of Sequences and Other Combinatorial Structures covers the latest advances in the widely used and rapidly developing field of information and communication technology.

Editors and Affiliations

  • Seoul National University, Seoul, Korea

    Jong-Seon No

  • Yonsei University, Seoul, Korea

    Hong-Yeop Song

  • University of Bergen, Bergen, Norway

    Tor Helleseth

  • University of Southern California, Los Angeles, USA

    P. Vijay Kumar

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