Introduction to Modern Cryptography: Principles and Protocols

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Taylor & Francis, 2008 - 534 Seiten
PREFACE INTRODUCTION AND CLASSICAL CRYPTOGRAPHY INTRODUCTION Cryptography and Modern Cryptography The Setting of Private-Key Encryption Historical Ciphers and Their Cryptanalysis The Basic Principles of Modern Cryptography PERFECTLY SECRET ENCRYPTION Definitions and Basic Properties The One-Time Pad (Vernam's Cipher) Limitations of Perfect Secrecy Shannon's Theorem Summary PRIVATE-KEY (SYMMETRIC) CRYPTOGRAPHY PRIVATE-KEY ENCRYPTION AND PSEUDORANDOMNESS A Computational Approach to Cryptography A Definition of Computationally Secure Encryption Pseudorandomness Constructing Secure Encryption Schemes Security against Chosen-Plaintext Attacks (CPA) Constructing CPA-Secure Encryption Schemes Security against Chosen-Ciphertext Attacks (CCA) MESSAGE AUTHENTICATION CODES AND COLLISION-RESISTANT HASH FUNCTIONS Secure Communication and Message Integrity Encryption vs. Message Authentication Message Authentication Codes-Definitions Constructing Secure Message Authentication Codes CBC-MAC Collision-Resistant Hash Functions NMAC and HMAC Constructing CCA-Secure Encryption Schemes Obtaining Privacy and Message Authentication PRACTICAL CONSTRUCTIONS OF PSEUDORANDOM PERMUTATIONS (BLOCK CIPHERS) Substitution-Permutation Networks Feistel Networks The Data Encryption Standard (DES) Increasing the Key Size of a Block Cipher The Advanced Encryption Standard (AES) Differential and Linear Cryptanalysis-A Brief Look THEORETICAL CONSTRUCTIONS OF PSEUDORANDOM OBJECTS One-Way Functions Overview: From One-Way Functions to Pseudorandomness A Hard-Core Predicate for Any One-Way Function Constructing Pseudorandom Generators Constructing Pseudorandom Functions Constructing (Strong) Pseudorandom Permutations Necessary Assumptions for Private-Key Cryptography A Digression-Computational Indistinguishability PUBLIC-KEY (ASYMMETRIC) CRYPTOGRAPHY NUMBER THEORY AND CRYPTOGRAPHIC HARDNESS ASSUMPTIONS Preliminaries and Basic Group Theory Primes, Factoring, and RSA Assumptions in Cyclic Groups Cryptographic Applications of Number-Theoretic Assumptions FACTORING AND COMPUTING DISCRETE LOGARITHMS Algorithms for Factoring Algorithms for Computing Discrete Logarithms PRIVATE-KEY MANAGEMENT AND THE PUBLIC-KEY REVOLUTION Limitations of Private-Key Cryptography A Partial Solution-Key Distribution Centers The Public-Key Revolution Diffie-Hellman Key Exchange PUBLIC-KEY ENCRYPTION Public-Key Encryption-An Overview Definitions Hybrid Encryption RSA Encryption The El Gamal Encryption Scheme Security against CCA Trapdoor Permutations ADDITIONAL PUBLIC-KEY ENCRYPTION SCHEMES The Goldwasser-Micali Encryption Scheme The Rabin Encryption Scheme The Paillier Encryption Scheme DIGITAL SIGNATURE SCHEMES Digital Signatures-An Overview Definitions RSA Signatures The Hash-and-Sign Paradigm Lamport's One-Time Signature Scheme Signatures from Collision-Resistant Hashing The Digital Signature Standard Certificates and Public-Key Infrastructures PUBLIC-KEY CRYPTOSYSTEMS IN THE RANDOM ORACLE MODEL The Random Oracle Methodology Public-Key Encryption in the Random Oracle Model Signatures in the Random Oracle Model APPENDIX A: MATHEMATICAL BACKGROUND Identities and Inequalities Asymptotic Notation Basic Probability The Birthday Problem APPENDIX B: SUPPLEMENTARY ALGORITHMIC NUMBER THEORY Integer Arithmetic Modular Arithmetic Finding a Generator of a Cyclic Group INDEX Each chapter contains References, Additional Reading, and Exercises.

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Inhalt

PrivateKey Symmetric Cryptography
3
Additional PublicKey Encryption Schemes
11
Theoretical Constructions of Pseudorandom Objects
193
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Über den Autor (2008)

Jonathan Katz, best known as Comedy Central's Dr. Katz, was born in Canada and raised in Brooklyn, New York. He attended Goddard College in Plainfield, Vermont. Katz worked as a standup comic before creating an animated short for Comedy Central, A Biography of Mr. Katz. It was renamed Dr. Katz, Professional Therapist, and became an Emmy-winning television show guest-starring many top comedians, such as Gary Shandling, Steven Wright and Janeane Garofalo. The success of the show led to the book Comedy Central's Dr. Katz: Hey, I've Got My Own Problems and the audiocassette Dr. Katz's Therapy Sessions. His book, The Big Truck That Went By: How the World Came to Save Haiti and Left Behind a Disaster, won the Cornelius Ryan Award.

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