Arithmetic of Finite Fields

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

Editors:

ISBN: 978-3-642-31661-6 (Print) 978-3-642-31662-3 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages -

  2. Invited Talk 1

    1. No Access

      Book Chapter

      Pages 1-15

      Generalised Jacobians in Cryptography and Coding Theory

  3. Coding Theory and Code-Based Cryptography

    1. No Access

      Book Chapter

      Pages 16-28

      The Weight Distribution of a Family of Reducible Cyclic Codes

    2. No Access

      Book Chapter

      Pages 29-44

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

    3. No Access

      Book Chapter

      Pages 45-63

      An Improved Threshold Ring Signature Scheme Based on Error Correcting Codes

  4. Invited Talk 2

    1. No Access

      Book Chapter

      Pages 64-80

      Sequences and Functions Derived from Projective Planes and Their Difference Sets

  5. Boolean Functions

    1. No Access

      Book Chapter

      Pages 81-91

      On Formally Self-dual Boolean Functions in 2,4 and 6 Variables

    2. No Access

      Book Chapter

      Pages 92-107

      On the Algebraic Normal Form and Walsh Spectrum of Symmetric Functions over Finite Rings

    3. No Access

      Book Chapter

      Pages 108-118

      Verification of Restricted EA-Equivalence for Vectorial Boolean Functions

  6. Invited Talk 3

    1. No Access

      Book Chapter

      Pages 119-135

      Software Implementation of Modular Exponentiation, Using Advanced Vector Instructions Architectures

  7. Finite Field Arithmetic

    1. No Access

      Book Chapter

      Pages 136-151

      Efficient Multiplication over Extension Fields

    2. No Access

      Book Chapter

      Pages 152-167

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

    3. No Access

      Book Chapter

      Pages 168-186

      Finding Optimal Formulae for Bilinear Maps

  8. Equations and Functions

    1. No Access

      Book Chapter

      Pages 187-195

      Solving Binary Linear Equation Systems over the Rationals and Binaries

    2. No Access

      Book Chapter

      Pages 196-207

      Hashing with Elliptic Curve L-Functions

  9. Invited Talk 4

    1. No Access

      Book Chapter

      Pages 208-224

      Square Root Algorithms for the Number Field Sieve

  10. Polynomial Factorization and Permutation Polynomial

    1. No Access

      Book Chapter

      Pages 225-235

      Improving the Berlekamp Algorithm for Binomials x n  − a

    2. No Access

      Book Chapter

      Pages 236-246

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

  11. Back Matter

    Pages -