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Finite Fields and Applications

Proceedings of The Fifth International Conference on Finite Fields and Applications Fq 5, held at the University of Augsburg, Germany, August 2–6, 1999

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Dieter Jungnickel

    1. Lehrstuhl für Diskrete Mathematik, Optimierung und Operations Research, Universität Augsburg, Augsburg, Germany

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  2. Harald Niederreiter

    1. Department of Mathematics, National University of Singapore, Singapore, Republic of Singapore

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  • Very useful to researchers in cryptology
  • Includes supplementary material: sn.pub/extras

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Table of contents (36 papers)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings

    • Kanat Abdukhalikov
    Pages 1-13

  3. Towards a Basis for the Space of Regular Functions in a Tower of Function Fields Meeting the Drinfeld-Vladut Bound

    • Ilia Aleshnikov, Vinay Deolalikar, P. Vijay Kumar, Henning Stichtenoth
    Pages 14-24

  4. Self-Dual Normal Bases and Related Topics

    • Eva Bayer-Fluckiger
    Pages 25-36

  5. Permutations amongst the Dembowski-Ostrom Polynomials

    • Aart Blokhuis, Robert S. Coulter, Marie Henderson, Christine M. O’Keefe
    Pages 37-42

  6. Associative Rational Functions in Two Variables

    • Joel V. Brawley, Shuhong Gao, Donald Mills
    Pages 43-56

  7. A Note on the Minimal Polynomial of the Product of Linear Recurring Sequences

    • Emrah Çakçak
    Pages 57-69

  8. Gelfond-Gramain’s Theorem for Function Fields

    • Mireille Car
    Pages 70-80

  9. On Generalized Bent and q-ary Perfect Nonlinear Functions

    • Claude Carlet, Sylvie Dubuc
    Pages 81-94

  10. Divisible Designs Admitting, as an Automorphism Group, an Orthogonal Group or a Unitary Group

    • Cinzia Cerroni, Ralph-Hardo Schulz
    Pages 95-108

  11. A Permutation of a Small Infinite Field

    • Stephen D. Cohen
    Pages 109-112

  12. Almost Perfect Nonlinear Power Functions on GF(2n): A New Case for n Divisible by 5

    • Hans Dobbertin
    Pages 113-121

  13. On Non-Abelian Semi-Regular Relative Difference Sets

    • Dominic Elvira, Yutaka Hiramine
    Pages 122-127

  14. Applications of Arithmetical Geometry to Cryptographic Constructions

    • Gerhard Frey
    Pages 128-161

  15. Gauß Periods in Finite Fields

    • Joachim von zur Gathen, Igor Shparlinski
    Pages 162-177

  16. Constructions of Orthomorphisms of ℤ n2

    • Solomon W. Golomb, Guang Gong, Lothrop Mittenthal
    Pages 178-195

  17. Period Polynomials for \( {F_{{{p^{2}}}}} \) of Fixed Small Degree

    • Stanley Gurak
    Pages 196-207

  18. Universal Generators for Primary Closures of Galois Fields

    • Dirk Hachenberger
    Pages 208-223

  19. Irreducible Polynomials Generated by Decimations

    • Fritz von Haeseler, Wibke Jürgensen
    Pages 224-231

  20. Decoding Reed-Muller Codes beyond Half the Minimum Distance

    • Agnes E. Heydtmann, Thomas Jakobsen
    Pages 232-250
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Keywords

Editors and Affiliations

  • Lehrstuhl für Diskrete Mathematik, Optimierung und Operations Research, Universität Augsburg, Augsburg, Germany

    Dieter Jungnickel

  • Department of Mathematics, National University of Singapore, Singapore, Republic of Singapore

    Harald Niederreiter

Bibliographic Information

  • Book Title: Finite Fields and Applications

  • Book Subtitle: Proceedings of The Fifth International Conference on Finite Fields and Applications Fq 5, held at the University of Augsburg, Germany, August 2–6, 1999

  • Editors: Dieter Jungnickel, Harald Niederreiter

  • DOI: https://doi.org/10.1007/978-3-642-56755-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2001

  • Hardcover ISBN: 978-3-540-41109-3Published: 20 March 2001

  • Softcover ISBN: 978-3-642-62498-8Published: 23 October 2012

  • eBook ISBN: 978-3-642-56755-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: IX, 490

  • Topics: Discrete Mathematics, Combinatorics, Data Structures and Information Theory, Algebra, Computational Mathematics and Numerical Analysis, Cryptology

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