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Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21–25, 2001

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. Gary L. Mullen

    1. Department of Mathematics, The Pennsylvania State University, University Park, USA

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  2. Henning Stichtenoth

    1. FB6 Mathematik und Informatik, Universität Essen, Essen, Deutschland

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  3. Horacio Tapia-Recillas

    1. Departamento de Matemáticas, Universidad Autónoma Metropolitana, México, México, D.F., México

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Table of contents (27 papers)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Commutative Semifields of Rank 2 Over Their Middle Nucleus

    • Simeon Ball, Michel Lavrauw
    Pages 1-21

  3. A Rao-Nam like Cryptosystem with Product Codes

    • Ángela I. Barbero, Juan G. Tena
    Pages 22-36

  4. Pseudorandom Sequences from Elliptic Curves

    • P. H. T. Beelen, J. M. Doumen
    Pages 37-52

  5. On Cryptographic Complexity of Boolean Functions

    • Claude Carlet
    Pages 53-69

  6. On Divisibility of Exponential Sums over Finite Fields of Characteristic 2

    • F. N. Castro, O. Moreno
    Pages 70-79

  7. Value Sets of Polynomials over Finite Fields

    • Pinaki Das, Gary L. Mullen
    Pages 80-85

  8. Bounds for Completely Decomposable Jacobians

    • Iwan Duursma, Jean-Yves Enjalbert
    Pages 86-93

  9. Twin Irreducible Polynomials over Finite Fields

    • Gove W. Effinger, Kenneth H. Hicks, Gary L. Mullen
    Pages 94-111

  10. Invariants of Finite Groups over Finite Fields: Recent Progress and New Conjectures

    • Peter Fleischmann
    Pages 112-122

  11. The Group Law on Elliptic Curves on Hesse form

    • Hege Reithe Frium
    Pages 123-151

  12. On Curves with Many Rational Points over Finite Fields

    • Arnaldo Garcia
    Pages 152-163

  13. VHDL Specification of a FPGA to Divide and Multiply in GF(2m)

    • Mario Alberto García-Martínez, Guillermo Morales-Luna
    Pages 164-176

  14. Distribution of Irreducible Polynomials over F 2

    • Kenneth H. Hicks, Gary L. Mullen, Ikuro Sato
    Pages 177-186

  15. Arithmetic on a Family of Picard Curves

    • Rolf-Peter Holzapfel, Florin Nicolae
    Pages 187-208

  16. New Quantum Error-Correcting Codes from Hermitian Self-Orthogonal Codes over GF(4)

    • Jon-Lark Kim
    Pages 209-213

  17. A Note on the Counter-Example of Patterson—Wiedemann

    • Philippe Langevin, Jean-Pierre Zanotti
    Pages 214-219

  18. Continued Fractions for Certain Algebraic Power Series over a Finite Field

    • Alain Lasjaunias
    Pages 220-228

  19. Linear Complexity and Polynomial Degree of a Function Over a Finite Field

    • Wilfried Meidl, Arne Winterhof
    Pages 229-238

  20. Primitive Roots in Cubic Extensions of Finite Fields

    • Donald Mills, Gavin McNay
    Pages 239-250
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Keywords

Editors and Affiliations

  • Department of Mathematics, The Pennsylvania State University, University Park, USA

    Gary L. Mullen

  • FB6 Mathematik und Informatik, Universität Essen, Essen, Deutschland

    Henning Stichtenoth

  • Departamento de Matemáticas, Universidad Autónoma Metropolitana, México, México, D.F., México

    Horacio Tapia-Recillas

Bibliographic Information

  • Book Title: Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

  • Book Subtitle: Proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21–25, 2001

  • Editors: Gary L. Mullen, Henning Stichtenoth, Horacio Tapia-Recillas

  • DOI: https://doi.org/10.1007/978-3-642-59435-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Softcover ISBN: 978-3-642-63976-0Published: 21 October 2011

  • eBook ISBN: 978-3-642-59435-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: IX, 335

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

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