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Arithmetic of Finite Fields

5th International Workshop, WAIFI 2014, Gebze, Turkey, September 27-28, 2014. Revised Selected Papers

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Çetin Kaya Koç

    1. Department of Computer Science, Univ of California, Santa Barbara, Santa Barbara, USA

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  2. Sihem Mesnager

    1. University of Paris VIII, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

  3. Erkay Savaş

    1. Sabancı University, Istanbul, Turkey

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 9061)

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

Included in the following conference series:

Conference proceedings info: WAIFI 2014.

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About this book

This book constitutes the refereed proceedings of the 5th International Workshop on the Arithmetic of Finite Field, WAIFI 2014, held in Gebze, Turkey, in September 2014. The 9 revised full papers and 43 invited talks presented were carefully reviewed and selected from 27 submissions. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. The workshop will help to bridge the gap between the mathematical theory of finite fields and their hardware/software implementations and technical applications.

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Table of contents (12 papers)

  1. Front Matter

    Pages I-X
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  2. First Invited Talk

    1. Front Matter

      Pages 1-1
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    2. Computing Discrete Logarithms in \({\mathbb F}_{3^{6 \cdot 137}}\) and \({\mathbb F}_{3^{6 \cdot 163}}\) Using Magma

      • Gora Adj, Alfred Menezes, Thomaz Oliveira, Francisco Rodríguez-Henríquez
      Pages 3-22

  3. Finite Field Arithmetic

    1. Front Matter

      Pages 23-23
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    2. Accelerating Iterative SpMV for the Discrete Logarithm Problem Using GPUs

      • Hamza Jeljeli
      Pages 25-44

    3. Finding Optimal Chudnovsky-Chudnovsky Multiplication Algorithms

      • Matthieu Rambaud
      Pages 45-60

    4. Reducing the Complexity of Normal Basis Multiplication

      • Ömer Eǧecioǧlu, Çetin Kaya Koç
      Pages 61-80

  4. Second Invited Talk

    1. Front Matter

      Pages 81-81
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    2. Open Questions on Nonlinearity and on APN Functions

      • Claude Carlet
      Pages 83-107

  5. Boolean and Vectorial Functions

    1. Front Matter

      Pages 109-109
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    2. Some Results on Difference Balanced Functions

      • Alexander Pott, Qi Wang
      Pages 111-120

    3. Affine Equivalency and Nonlinearity Preserving Bijective Mappings over \(\mathbb {F}_2\)

      • İsa Sertkaya, Ali Doğanaksoy, Osmanbey Uzunkol, Mehmet Sabır Kiraz
      Pages 121-136

    4. On Verification of Restricted Extended Affine Equivalence of Vectorial Boolean Functions

      • Ferruh Özbudak, Ahmet Sınak, Oğuz Yayla
      Pages 137-154

    5. On o-Equivalence of Niho Bent Functions

      • Lilya Budaghyan, Claude Carlet, Tor Helleseth, Alexander Kholosha
      Pages 155-168

  6. Third Invited Talk

    1. Front Matter

      Pages 169-169
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    2. L-Polynomials of the Curve \(\displaystyle y^{q^n}-y=\gamma x^{q^h+1} - \alpha \) over \({\mathbb F}_{q^m}\)

      • Ferruh Özbudak, Zülfükar Saygı
      Pages 171-183

  7. Coding Theory and Code-Based Cryptography

    1. Front Matter

      Pages 185-185
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    2. Efficient Software Implementations of Code-Based Hash Functions and Stream-Ciphers

      • Pierre-Louis Cayrel, Mohammed Meziani, Ousmane Ndiaye, Quentin Santos
      Pages 187-203

    3. Quadratic Residue Codes over \(\mathbb {F}_p+v\mathbb {F}_p+v^{2}\mathbb {F}_p\)

      • Yan Liu, Minjia Shi, Patrick Solé
      Pages 204-211

  8. Back Matter

    Pages 213-213
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Other volumes

  1. Arithmetic of Finite Fields

Editors and Affiliations

  • Department of Computer Science, Univ of California, Santa Barbara, Santa Barbara, USA

    Çetin Kaya Koç

  • University of Paris VIII, Paris, France

    Sihem Mesnager

  • Sabancı University, Istanbul, Turkey

    Erkay Savaş

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