Public key cryptography: applications and attacks

Table of Contents Preface xii 0 Introduction 1 0.1 The Meaning of the Word Cryptography 2 0.2 Symmetric Key Cryptography 2 0.3 Public Key (Asymmetric) Cryptography 5 0.4 Key Establishment 8 0.5 Cryptography — more than just Hiding Secrets 9 0.6 Standards 10 0.7 Attacks 11 1 Congruence Equations 13 1.1 Congruence Arithmetic 13 1.1.1 Computer Examples 17 1.1.2 Problems 18 1.2 The…

Algebraic aspects of the advanced encryption standard

Contents: INTRODUCTION TO THE AES MATHEMATICAL BACKGROUND DESCRIPTION OF THE AES ALGEBRAIC PROPERTIES OF THE AES EQUATION SYSTEMS FOR THE AES ANALYSIS OF AES EQUATION SYSTEMS CLOSING REMARKS

Probabilistic and statistical methods in cryptology : an introduction by sele…

Edition

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ISBN/ISSN

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Collation

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Series Title

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Call Number

003.54 NEU p

Graph theory : modeling, applications, and algorithms

Once considered an “unimportant” branch of topology, graph theory has come into its own through many important contributions to a wide range of fields – and is now one of the fastest-growing areas in discrete mathematics and computer science. This practical, intuitive book introduces basic concepts, definitions, theorems, and examples from graph theory. Presents a collection of interestin…

Elliptic curves: number theory and cryptography

INTRODUCTION
THE BASIC THEORY
Weierstrass Equations
The Group Law
Projective Space and the Point at Infinity
Proof of Associativity
Other Equations for Elliptic Curves
Other Coordinate Systems
The j-Invariant
Elliptic Curves in Characteristic 2
Endomorphisms
Singular Curves
Elliptic Curves mod n
TORSION POINTS
T…

Handbook of elliptic and hiperellectic curve cryptography

1. Introduction to Public-Key Cryptography Mathematical Background 2. Algebraic Background 3. Background on p-adic Numbers 4. Background on Curves and Jacobians 5. Varieties Over Special Fields 6. Background on Pairings 7. Background on Weil Descent 8. Cohomological Background on Point Counting Elementary Arithmetic 9. Exponentiation 10. Integer Arithmetic 11. Finite Field A…

Advances in elliptic curve cryptography

Edition

-

ISBN/ISSN

9780521604154

Collation

xvi, 281 hlm.; 23 cm.

Series Title

Lecture note series

Call Number

516.3 BLA a

Guide to elliptic curve cryptography

Termasuk bibliografi dan indeks. CONTENTS:
1 Introduction and Overview
1.1 Cryptography basics
1.2 Public-key cryptography
1.2.1 RSAsystems
1.2.2 Discrete logarithmsystems
1.2.3 Elliptic curve systems
1.3 Why elliptic curve cryptography?
1.4 Roadmap
1.5 Notes and further references

2 Finite Field Arithmetic
2.1 In…

Black-box models of computation in cryptology

Introduction -- Black-Box Models of Computation -- On Black-Box Ring Extraction and Integer Factorization -- Analysis of Cryptographic Assumptions in the Generic Ring Model -- The Generic Composite Residuosity Problem -- Semi-Generic Groups and Their Applications.

Introduction to cryptography with mathematical foundations and computer imple…

Content: An overview of the subject Divisibility and modular arithmetic The evolution of codemaking until the computer era Matrices and the Hill cryptosystem The evolution of codebreaking until the computer era Representation and arithmetic of integers in different bases Block cryptosystems and the data encryption standard (DES) Some number theory and algorithms Public key cry…