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Introduction to cryptography /
"Electronic communication and financial transactions have assumed massive proportions today. But they comprise high risks too. 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 th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boca Raton, FL :
CRC Press, Taylor & Francis Group,
[2018]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- <P></P><P></P><B><P>Preface </P><P></P><P>Overview of Cryptography</P></B><P>Introduction </P><P>Goals of Cryptography<B> </P></B><P>Classification of Cryptosystem</P><P>Practically Useful Cryptosystem</P><P>Cryptanalysis</P><B><P></P><P>Basic Algebra</P></B><P>Group</P><P>Ring</P><P>Field</P><P>Exercise</P><P></P><B><P>Number Theory</P></B><P>Introduction</P><P>Prime Numbers</P><P>Cardinality of Primes</P><P>Extended Euclidean Algorithm</P><P>Primality Testing</P><P>Factorization and Algorithms for it</P><P>Congruences</P><P>Quadratic Congruence</P><P>Exponentiation and Logarithm</P><P>Discrete Logarithm Problem and Algorithms for it</P><P>Exercise</P><P></P><B><P>Probability and Perfect Secrecy</P></B><P>Basic Concept of Probability </P><P>Birthday Paradox</P><P>Perfect Secrecy</P><P>Vernam One Time Pad</P><P>Random Number Generation</P><P>Pseudo-random Number Generator</P><P>Exercise</P><P></P><B><P>Complexity Theory </P></B><P>Running Time and Size of Input </P><P>Big-O Notation </P><P>Types of algorithm</P><P>Complexity Classes</P><P>Exercise</P><P></P><B><P>Classical Cryptosystems</P></B><P>Classification of Classical Cryptosystem</P><P>Block Cipher</P><P>Stream Cipher</P><P>Cryptanalysis of Cryptosystems</P><P>Exercise</P><P></P><P> </P><B><P>Block Ciphers</P></B><P>Introduction</P><P>Modes of Operation</P><P>Padding</P><P>Design Considerations </P><P>Data Encryption Standard </P><P>Advanced Encryption Standard</P><P>Exercise </P><P></P><B><P>Hash Function </P></B><P>Compression and Hash Functions </P><P>Hash function for cryptography </P><P>Random Oracle Model </P><P>Cryptographic Hash Functions</P><P>Exercise</P><B><P>Public Key Cryptosystem</P></B><P>Introduction </P><P>Diffie-Hellman Key Exchange Protocol </P><P>RSA Cryptosystem</P><P>Rabin Cryptosystem</P><P>ElGamal Cryptosystem</P><P>Elliptic Curve Cryptosystem</P><P>Exercises </P><P></P><B><P>Digital Signature</P></B><P>Formal Definitions </P><P>Attack Goals for Digital Signature</P><P>Digital Signature in Practice</P><P>Some Popular Digital Signatures </P><P>Exercises</P><P></P><B><P>Research Directions in Cryptography </P></B><P>Pairing-Based Cryptography</P><P>Zero-knowledge Proof System</P><P>Authenticated Group Key Exchange</P><P>Attribute-Based Cryptography</P><P>Homomorphic Encryption </P><P>Secure Multi-party Computation</P><P>Secret Sharing</P><P>Post-Quantum Cryptography </P><P>Side-Channel Analysis</P><P>References</P><P>Index</P>
- 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.
- Cover; Title Page; Copyright Page; Dedication; Foreword; Preface; Table of Contents; 1 Overview of Cryptography; 1.1 Introduction; 1.2 Goals of Cryptography; 1.3 Classification of Cryptosystem; 1.4 Practically Useful Cryptosystem; 1.4.1 Confusion and Diffusion; 1.5 Cryptanalysis; 1.5.1 Types of Attackers; 1.5.2 Types of Attacks; 1.5.3 Security Notions; 2 Basic Algebra; 2.1 Group; 2.2 Ring; 2.3 Field; 2.3.1 Finite Field; 2.3.2 Field Construction; 2.3.3 Field Construction using Irreducible Polynomial; 2.3.4 Galois Field GF(2n); 2.3.4.1 Integer Representation of Finite Field Elements.
- 2.3.5 Field Construction using Generator2.4 Exercises; 3 Number Theory; 3.1 Prime Numbers; 3.2 Cardinality of Primes; 3.3 Extended Euclidean Algorithm; 3.4 Congruences; 3.4.1 Solving Linear Congruence in Zn; 3.4.2 Chinese Remainder Theorem (CRT); 3.5 Integer Factorization Problem; 3.5.1 Trial Division Method; 3.5.2 Fermat's Method; 3.5.3 Pollard's p
- 1 Method; 3.5.4 Pollard's Rho Method; 3.5.5 Quadratic Sieve; 3.5.6 Number Field Sieve; 3.6 Primality Testing; 3.6.1 Sieve of Eratosthenes; 3.6.2 Divisibility Algorithm; 3.6.3 AKS Algorithm; 3.6.4 Fermat Test; 3.6.5 Miller-Rabin Algorithm.
- 3.7 Quadratic Congruence3.7.1 Quadratic Residue or Non-Residue; 3.7.2 Legendre Symbol and Jacobi Symbol; 3.8 Exponentiation and Logarithm; 3.8.1 Square and Multiply Method; 3.9 Discrete Logarithm Problem; 3.9.1 Shank's Baby-Step Giant-Step Algorithm; 3.9.2 Pollard's Rho Algorithm; 3.9.3 Pohlig-Hellman Algorithm; 3.9.4 Index Calculus Algorithm; 3.10 Exercises; 4 Probability and Perfect Secrecy; 4.1 Basic Concept of Probability; 4.2 Birthday Paradox; 4.3 Perfect Secrecy; 4.4 Vernam One-Time Pad; 4.5 Random Number Generation; 4.6 Pseudo-random Number Generator; 4.7 Exercises; 5 Complexity Theory.
- 5.1 Running Time and Size of Input5.2 Big-O Notation; 5.2.1 Big-O and Growth Rate; 5.2.2 Properties of Order Notation; 5.3 Types of Algorithm; 5.4 Complexity Classes; 5.5 Exercises; 6 Classical Cryptosystems; 6.1 Classification of Classical Cryptosystem; 6.2 Block Cipher; 6.2.1 Substitution Cipher; 6.2.1.1 Shift Cipher; 6.2.1.2 Affine Cipher; 6.2.1.3 Substitution Cipher; 6.2.1.4 Vigenere Cipher; 6.2.1.5 Hill Cipher; 6.2.2 Transposition Cipher; 6.2.2.1 Scytale; 6.2.2.2 The Rail Fence Cipher; 6.3 Stream Cipher; 6.3.1 Synchronous Stream Cipher.
- 6.3.1.1 Vigenere Cipher as Synchronous Stream Cipher6.3.2 Linear Feedback Shift Register (LFSR); 6.3.3 Non-Synchronous Stream Cipher; 6.3.3.1 Autokey Cipher; 6.4 Cryptanalysis of Cryptosystems; 6.4.1 Frequency Analysis; 6.4.2 Cryptanalysis of Affine Cipher; 6.4.3 Cryptanalysis of Substitution Cipher; 6.4.4 Cryptanalysis of Vigenere Cipher; 6.4.5 Cryptanalysis of Hill Cipher; 6.4.6 Cryptanalysis of LFSR Stream Cipher; 6.5 Exercises; 7 Block Ciphers; 7.1 Introduction; 7.1.1 Notations; 7.2 Modes of Operation; 7.2.1 Electronic Code Book (ECB); 7.2.1.1 ECB Properties.