Number-theoretic Methods in Statistics
✍ K.-T. Fang, Y. Wang (auth.)
📂 Library
📅 1994
🏛 Springer US
🌐 English
✦ LIBER ✦
📁
Number-Theoretic Methods in Cryptology
✍ Scribed by Jerzy Kaczorowski, Josef Pieprzyk, Jacek Pomykała
- Publisher
- Springer International Publishing
- Year
- 2018
- Tongue
- English
- Leaves
- 287
- Series
- Lecture Notes in Computer Science 10737
- Edition
- 1st ed.
- Category
- Library
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✦ Synopsis
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.
✦ Table of Contents
Front Matter ....Pages I-XX
Front Matter ....Pages 1-1
A Crossbred Algorithm for Solving Boolean Polynomial Systems (Antoine Joux, Vanessa Vitse)....Pages 3-21
Front Matter ....Pages 23-23
Generation and Implementation of Cryptographically Strong Elliptic Curves (Przemysław Dąbrowski, Rafał Gliwa, Janusz Szmidt, Robert Wicik)....Pages 25-36
On the Possibility of Transformation of Multidimensional ECDLP into 1-Dimensional ECDLP (Michał Wroński, Tomasz Kijko)....Pages 37-47
Explicit Bound for the Prime Ideal Theorem in Residue Classes (Maciej Grześkowiak)....Pages 48-68
Front Matter ....Pages 69-69
Short Solutions to Nonlinear Systems of Equations (Alan Szepieniec, Bart Preneel)....Pages 71-90
A Novel RSA-Like Cryptosystem Based on a Generalization of the Rédei Rational Functions (Nadir Murru, Francesco M. Saettone)....Pages 91-103
Commutativity, Associativity, and Public Key Cryptography (Jacques Patarin, Valérie Nachef)....Pages 104-117
Front Matter ....Pages 119-119
Computational Differential Privacy from Lattice-Based Cryptography (Filipp Valovich, Francesco Aldà)....Pages 121-141
Explicit Formula for Gram-Schmidt Vectors in LLL with Deep Insertions and Its Applications (Junpei Yamaguchi, Masaya Yasuda)....Pages 142-160
Front Matter ....Pages 161-161
Factoring n and the Number of Points of Kummer Hypersurfaces mod n (Robert Dryło, Jacek Pomykała)....Pages 163-177
Detection of Primes in the Set of Residues of Divisors of a Given Number (Rafał Bystrzycki)....Pages 178-194
Front Matter ....Pages 195-195
The Measures of Pseudorandomness and the NIST Tests (László Mérai, Joël Rivat, András Sárközy)....Pages 197-216
On the Cross-Combined Measure of Families of Binary Lattices and Sequences (Katalin Gyarmati)....Pages 217-238
Front Matter ....Pages 239-239
The Cube Attack on Courtois Toy Cipher (Janusz Szmidt)....Pages 241-253
Near Butson-Hadamard Matrices and Nonlinear Boolean Functions (Sibel Kurt, Oğuz Yayla)....Pages 254-266
Multi-secret Sharing Scheme for Level-Ordered Access Structures (Appala Naidu Tentu, Abdul Basit, K. Bhavani, V. Ch. Venkaiah)....Pages 267-278
Back Matter ....Pages 279-279
✦ Subjects
Computer Science; Data Encryption; Discrete Mathematics in Computer Science; Algorithms; Number Theory; Software Engineering/Programming and Operating Systems; Computing Milieux
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