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Arithmetic of Finite Fields

4th International Workshop, WAIFI 2012, Bochum, Germany, July 16-19, 2012, Proceedings

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. Ferruh Özbudak

    1. Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey

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  2. Francisco Rodríguez-Henríquez

    1. Computer Science Section, CINVESTAV, Mexico DF, Mexico

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 7369)

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

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Conference proceedings info: WAIFI 2012.

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Table of contents (17 papers)

  1. Front Matter

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  2. Invited Talk 1

    1. Generalised Jacobians in Cryptography and Coding Theory

      • Florian Hess
      Pages 1-15

  3. Coding Theory and Code-Based Cryptography

    1. The Weight Distribution of a Family of Reducible Cyclic Codes

      • Gerardo Vega, Carlos A. Vázquez
      Pages 16-28

    2. A New Method for Constructing Small-Bias Spaces from Hermitian Codes

      • Olav Geil, Stefano Martin, Ryutaroh Matsumoto
      Pages 29-44

    3. An Improved Threshold Ring Signature Scheme Based on Error Correcting Codes

      • Pierre-Louis Cayrel, Sidi Mohamed El Yousfi Alaoui, Gerhrad Hoffmann, Pascal Véron
      Pages 45-63

  4. Invited Talk 2

    1. Sequences and Functions Derived from Projective Planes and Their Difference Sets

      • Alexander Pott, Qi Wang, Yue Zhou
      Pages 64-80

  7. Finite Field Arithmetic

    1. Efficient Multiplication over Extension Fields

      • Nadia El Mrabet, Nicolas Gama
      Pages 136-151

    2. \(\textrm{GF}(2^m)\) Finite-Field Multipliers with Reduced Activity Variations

      • Danuta Pamula, Arnaud Tisserand
      Pages 152-167

    3. Finding Optimal Formulae for Bilinear Maps

      • Razvan Barbulescu, Jérémie Detrey, Nicolas Estibals, Paul Zimmermann
      Pages 168-186

  8. Equations and Functions

    1. Solving Binary Linear Equation Systems over the Rationals and Binaries

      • Benedikt Driessen, Christof Paar
      Pages 187-195

    2. Hashing with Elliptic Curve L-Functions

      • Sami Omar, Raouf Ouni, Saber Bouanani
      Pages 196-207

  9. Invited Talk 4

    1. Square Root Algorithms for the Number Field Sieve

      • Emmanuel Thomé
      Pages 208-224

  10. Polynomial Factorization and Permutation Polynomial

    1. Improving the Berlekamp Algorithm for Binomials x n − a

      • Ryuichi Harasawa, Yutaka Sueyoshi, Aichi Kudo
      Pages 225-235

    2. On Some Permutation Binomials of the Form \(x^{\frac{2^n-1}{k}+1} +ax\) over \(\mathbb{F}_{2^n}\) : Existence and Count

      • Sumanta Sarkar, Srimanta Bhattacharya, Ayça Çeşmelioğlu
      Pages 236-246

  11. Back Matter

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About this book

This book constitutes the refereed proceedings of the 4th International Workshop on the Arithmetic of Finite Field, WAIFI 2012, held in Bochum, Germany, in July 2012. The 13 revised full papers and 4 invited talks presented were carefully reviewed and selected from 29 submissions. The papers are organized in topical sections on coding theory and code-based cryptography, Boolean functions, finite field arithmetic, equations and functions, and polynomial factorization and permutation polynomial.

Editors and Affiliations

  • Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey

    Ferruh Özbudak

  • Computer Science Section, CINVESTAV, Mexico DF, Mexico

    Francisco Rodríguez-Henríquez

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