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Number-Theoretic Methods in Cryptology

First International Conference, NuTMiC 2017, Warsaw, Poland, September 11-13, 2017, Revised Selected Papers

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Jerzy Kaczorowski

    1. Adam Mickiewicz University, Poznań, Poland

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  2. Josef Pieprzyk

    1. Queensland University of Technology, Brisbane, Australia

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  3. Jacek Pomykała

    1. University of Warsaw, Warsaw, Poland

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 10737)

Part of the book sub series: Security and Cryptology (LNSC)

Included in the following conference series:

Conference proceedings info: NuTMiC 2017.

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Table of contents (16 papers)

  1. Front Matter

    Pages I-XX
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  2. Invited Talk

    1. Front Matter

      Pages 1-1
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    2. A Crossbred Algorithm for Solving Boolean Polynomial Systems

      • Antoine Joux, Vanessa Vitse
      Pages 3-21

  3. Elliptic Curves in Cryptography

    1. Front Matter

      Pages 23-23
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    2. Generation and Implementation of Cryptographically Strong Elliptic Curves

      • Przemysław Dąbrowski, Rafał Gliwa, Janusz Szmidt, Robert Wicik
      Pages 25-36

    3. On the Possibility of Transformation of Multidimensional ECDLP into 1-Dimensional ECDLP

      • Michał Wroński, Tomasz Kijko
      Pages 37-47

    4. Explicit Bound for the Prime Ideal Theorem in Residue Classes

      • Maciej Grześkowiak
      Pages 48-68

  4. Public-Key Cryptography

    1. Front Matter

      Pages 69-69
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    2. Short Solutions to Nonlinear Systems of Equations

      • Alan Szepieniec, Bart Preneel
      Pages 71-90

    3. A Novel RSA-Like Cryptosystem Based on a Generalization of the Rédei Rational Functions

      • Nadir Murru, Francesco M. Saettone
      Pages 91-103

    4. Commutativity, Associativity, and Public Key Cryptography

      • Jacques Patarin, Valérie Nachef
      Pages 104-117

  5. Lattices in Cryptography

    1. Front Matter

      Pages 119-119
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    2. Computational Differential Privacy from Lattice-Based Cryptography

      • Filipp Valovich, Francesco Aldà
      Pages 121-141

    3. Explicit Formula for Gram-Schmidt Vectors in LLL with Deep Insertions and Its Applications

      • Junpei Yamaguchi, Masaya Yasuda
      Pages 142-160

  6. Number Theory

    1. Front Matter

      Pages 161-161
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    2. Factoring n and the Number of Points of Kummer Hypersurfaces mod n

      • Robert Dryło, Jacek Pomykała
      Pages 163-177

    3. Detection of Primes in the Set of Residues of Divisors of a Given Number

      • Rafał Bystrzycki
      Pages 178-194

  7. Pseudorandomness

    1. Front Matter

      Pages 195-195
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    2. The Measures of Pseudorandomness and the NIST Tests

      • László Mérai, Joël Rivat, András Sárközy
      Pages 197-216

    3. On the Cross-Combined Measure of Families of Binary Lattices and Sequences

      • Katalin Gyarmati
      Pages 217-238
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  1. Number-Theoretic Methods in Cryptology

Keywords

About this book

This book constitutes the refereed post-conference proceedings  of the First International Conference on Number-Theoretic Methods in Cryptology,  NuTMiC 2017, held in Warsaw, Poland, in September 2017.
The 15 revised full papers presented in this book together with 3 invited talks were carefully reviewed and selected from 32 initial submissions. The papers are organized in topical sections on elliptic curves in cryptography; public-key cryptography; lattices in cryptography; number theory; pseudorandomness; and algebraic structures and analysis.

Editors and Affiliations

  • Adam Mickiewicz University, Poznań, Poland

    Jerzy Kaczorowski

  • Queensland University of Technology, Brisbane, Australia

    Josef Pieprzyk

  • University of Warsaw, Warsaw, Poland

    Jacek Pomykała

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