Arithmetic of Finite Fields

1. Front Matter

   Pages i-xviii

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2. Invited Papers

   1. Front Matter

      Pages 1-1

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   2. Solving Multivariate Polynomial Systems and an Invariant from Commutative Algebra

      • Alessio Caminata, Elisa Gorla

      Pages 3-36

   3. Linearized Polynomials and Their Adjoints, and Some Connections to Linear Sets and Semifields

      • Gary McGuire, John Sheekey

      Pages 37-41

   4. Efficient, Actively Secure MPC with a Dishonest Majority: A Survey

      • Emmanuela Orsini

      Pages 42-71

3. Finite Field Arithmetic

   1. Front Matter

      Pages 73-73

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   2. A HDL Generator for Flexible and Efficient Finite-Field Multipliers on FPGAs

      • Joël Cathébras, Roselyne Chotin

      Pages 75-91

   3. Trisymmetric Multiplication Formulae in Finite Fields

      • Hugues Randriambololona, Édouard Rousseau

      Pages 92-111

4. Coding Theory

   1. Front Matter

      Pages 113-113

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   2. A Construction of Self-dual Skew Cyclic and Negacyclic Codes of Length n over

      • Aicha Batoul, Delphine Boucher, Ranya Djihad Boulanouar

      Pages 115-133

   3. Decoding up to 4 Errors in Hyperbolic-Like Abelian Codes by the Sakata Algorithm

      • José Joaquín Bernal, Juan Jacobo Simón

      Pages 134-146

   4. Dihedral Codes with Prescribed Minimum Distance

      • Martino Borello, Abdelillah Jamous

      Pages 147-159

5. Sequences

   1. Front Matter

      Pages 161-161

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   2. Recursion Polynomials of Unfolded Sequences

      • Ana I. Gomez, Domingo Gomez-Perez, Andrew Tirkel

      Pages 163-173

   3. Finding Linearly Generated Subsequences

      • Claude Gravel, Daniel Panario, Bastien Rigault

      Pages 174-192

6. Special Functions over Finite Fields

   1. Front Matter

      Pages 193-193

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   2. Generalization of a Class of APN Binomials to Gold-Like Functions

      • D. Davidova, N. Kaleyski

      Pages 195-206

   3. On Subspaces of Kloosterman Zeros and Permutations of the Form \(L_1(x^{-1})+L_2(x)\)

      • Faruk Göloğlu, Lukas Kölsch, Gohar Kyureghyan, Léo Perrin

      Pages 207-221

   4. Explicit Factorization of Some Period Polynomials

      • Gerardo Vega

      Pages 222-233

   5. Improved Lower Bounds for Permutation Arrays Using Permutation Rational Functions

      • Sergey Bereg, Brian Malouf, Linda Morales, Thomas Stanley, I. Hal Sudborough

      Pages 234-252

This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2020, held in Rennes, France in July 2020.

Due to the COVID-19, the workshop was held online.

The 12 revised full papers and 3 invited talks presented were carefully reviewed and selected from 22 submissions. The papers are organized in topical sections on invited talks, Finite Field Arithmetic, Coding Theory, Network Security and much more.

• bit error rate
• communication
• communication channels (information theory)
• communication systems
• computer hardware
• computer networks
• computer science
• computer security
• computer systems
• cryptography
• data security
• engineering
• finite fields
• information theory
• mathematics
• matrix algebra
• signal processing
• signal to noise ratio
• telecommunication systems
• wireless telecommunication systems

• Sorbonne Paris, Paris, France

  Jean Claude Bajard

• Sabancı University, Istanbul, Turkey

  Alev Topuzoğlu

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