Librería Portfolio

Electronic communication and financial transactions have assumed massive proportions today. But they come with high risks. Achieving cyber security has become a top priority, and has become one of the most crucial areas of study and research in IT. This book introduces readers to perhaps the most effective tool in achieving a secure environment, i.e. cryptography. This book offers more solved examples than most books on the subject, it includes state of the art topics and discusses the scope of future research.



Table of Contents
Preface

Overview of Cryptography

Introduction

Goals of Cryptography

Classification of Cryptosystem

Practically Useful Cryptosystem

Cryptanalysis

Basic Algebra

Group

Ring

Field

Exercise

Number Theory

Introduction

Prime Numbers

Cardinality of Primes

Extended Euclidean Algorithm

Primality Testing

Factorization and Algorithms for it

Congruences

Quadratic Congruence

Exponentiation and Logarithm

Discrete Logarithm Problem and Algorithms for it

Exercise

Probability and Perfect Secrecy

Basic Concept of Probability

Birthday Paradox

Perfect Secrecy

Vernam One Time Pad

Random Number Generation

Pseudo-random Number Generator

Exercise

Complexity Theory

Running Time and Size of Input

Big-O Notation

Types of algorithm

Complexity Classes

Exercise

Classical Cryptosystems

Classification of Classical Cryptosystem

Block Cipher

Stream Cipher

Cryptanalysis of Cryptosystems

Exercise



Block Ciphers

Introduction

Modes of Operation

Padding

Design Considerations

Data Encryption Standard

Advanced Encryption Standard

Exercise

Hash Function

Compression and Hash Functions

Hash function for cryptography

Random Oracle Model

Cryptographic Hash Functions

Exercise

Public Key Cryptosystem

Introduction

Diffie-Hellman Key Exchange Protocol

RSA Cryptosystem

Rabin Cryptosystem

ElGamal Cryptosystem

Elliptic Curve Cryptosystem

Exercises

Digital Signature

Formal Definitions

Attack Goals for Digital Signature

Digital Signature in Practice

Some Popular Digital Signatures

Exercises

Research Directions in Cryptography

Pairing-Based Cryptography

Zero-knowledge Proof System

Authenticated Group Key Exchange

Attribute-Based Cryptography

Homomorphic Encryption

Secure Multi-party Computation

Secret Sharing

Post-Quantum Cryptography

Side-Channel Analysis

References

Index