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Arithmetic of Finite Fields

Third International Workshop, WAIFI 2010, Istanbul, Turkey, June 27-30, 2010, Proceedings

  • Conference proceedings
  • © 2010

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Editors:
  1. M. Anwar Hasan

    1. Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Canada

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  2. Tor Helleseth

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

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 6087)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

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Conference proceedings info: WAIFI 2010.

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Table of contents (18 papers)

  1. Front Matter

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  2. Invited Talk 1

    1. Recursive Towers of Function Fields over Finite Fields

      • Henning Stichtenoth
      Pages 1-6

  3. Efficient Finite Field Arithmetic

    1. High-Performance Modular Multiplication on the Cell Processor

      • Joppe W. Bos
      Pages 7-24

    2. A Modified Low Complexity Digit-Level Gaussian Normal Basis Multiplier

      • Reza Azarderakhsh, Arash Reyhani-Masoleh
      Pages 25-40

    3. Type-II Optimal Polynomial Bases

      • Daniel J. Bernstein, Tanja Lange
      Pages 41-61

  4. Pseudo-random Numbers and Sequences

    1. Pseudorandom Vector Sequences Derived from Triangular Polynomial Systems with Constant Multipliers

      • Alina Ostafe
      Pages 62-72

    2. Structure of Pseudorandom Numbers Derived from Fermat Quotients

      • Zhixiong Chen, Alina Ostafe, Arne Winterhof
      Pages 73-85

  6. Invited Talk 2

    1. On the Efficiency and Security of Pairing-Based Protocols in the Type 1 and Type 4 Settings

      • Sanjit Chatterjee, Darrel Hankerson, Alfred Menezes
      Pages 114-134

  7. Functions, Equations and Modular Multiplication

    1. Switching Construction of Planar Functions on Finite Fields

      • Alexander Pott, Yue Zhou
      Pages 135-150

    2. Solving Equation Systems by Agreeing and Learning

      • Thorsten Ernst Schilling, HÃ¥vard Raddum
      Pages 151-165

    3. Speeding Up Bipartite Modular Multiplication

      • Miroslav Knežević, Frederik Vercauteren, Ingrid Verbauwhede
      Pages 166-179

  8. Finite Field Arithmetic for Pairing Based Cryptography

    1. Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography

      • Naomi Benger, Michael Scott
      Pages 180-195

    2. Delaying Mismatched Field Multiplications in Pairing Computations

      • Craig Costello, Colin Boyd, Juan Manuel Gonzalez Nieto, Kenneth Koon-Ho Wong
      Pages 196-214

  9. Invited Talk 3

    1. Regenerating Codes for Distributed Storage Networks

      • Nihar B. Shah, K. V. Rashmi, P. Vijay Kumar, Kannan Ramchandran
      Pages 215-223

  10. Finite Fields, Cryptography and Coding

    1. On Rationality of the Intersection Points of a Line with a Plane Quartic

      • Roger Oyono, Christophe Ritzenthaler
      Pages 224-237

    2. Reflections about a Single Checksum

      • Ulrich Tamm
      Pages 238-249

    3. Efficient Time-Area Scalable ECC Processor Using μ-Coding Technique

      • Mohamed N. Hassan, Mohammed Benaissa
      Pages 250-268

  11. Back Matter

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  1. Arithmetic of Finite Fields

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Editors and Affiliations

  • Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Canada

    M. Anwar Hasan

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

    Tor Helleseth

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