TAILIEUCHUNG - Digital Signature Schemes

This thesis will attempt to describe in detail the concepts of digital signatures and the related background issues. We will begin with a general introduction to cryptography and digital signatures and follow with an overview of the requisite math involved in cryptographic applications. | Digital Signature Schemes Nick Carruthers Department of Math and Computer Science Middlebury College December 9 1997 Abstract This thesis will attempt to describe in detail the concepts of digital signatures and the related background issues. We will begin with a general introduction to cryptography and digital signatures and follow with an overview of the requisite math involved in cryptographic applications. We will then discuss in detail two digital signature schemes based on the discrete logarithm problem the ElGamal scheme and its derivative the United States Digital Signature Standard. Having done this we will explore the problems and insecurities involved in their use. 1 1 Digital Signatures - A Quick Concepts of Public-Key One-Way Symmetric vs. Applicability to Digital 2 Mathematical Complexity Primality . 11 Modular Arithmetic. 12 Fast Inverses Mod a Chinese Remainder Theorem . 14 Generators . 15 Quadratic Residues. 16 The Legendre The Discrete Logarithm Problem. 16 Galois 3 Digital Definition of a Signature Role of Hash ElGamal Digital Signature An The Digital Signature Standard DSS . 21 Modifications to the ElGamal Description of Speedups . 23 The Secure Hash Algorithm SHA . 24 Parameter Generation . 25 Derivative Schemes . 26 4 Security 2 Classification of Existential Forgery Using Universal Forgery Using Brute Force Shank s Pohlig-Hellman The Random Parameter Random Number Linear Congruential .

• An ninh - Bảo mật
• Digital Signature Schemes
• The Mathematical Background
• The Digital Signature Standard
• Definition of a Signature Scheme
• Classification of Attacks
• A Quick Overview
• The digital signature category
• Parallel Multiple Signature
• Digital signature and multiple signature
• Different cases for different purposes
• The Multiple signature
• Multiple signature schemes examples
• The Elliptic Curve Digital Signature Algorithm
• Elliptic curve cryptosystems
• Elliptic curve discrete logarithm problem
• Elliptic Curve Digital Signature Algorithm
• Digital Signature Algorithm
• Digital Signature
• Digital Signature Schema
• Discrete logarithm problem
• Type signature scheme
• Construction of problem analysis
• Problem analysis
• Signature scheme
• High requirements
• Root problem
• New key schemes
• Lược đồ chữ ký số
• Thuật toán chữ ký số
• Network Security
• Digital Signatures
• Practical Signature Schemes
• RSA Signature Scheme
• Istribution of public keys
• Data security
• Lecture Data security and encryption
• Mã hóa dữ liệu
• Bảo mật dữ liệu
• Schnorr signature schemes
• Random oracles
• Constructions based on bilinear maps
• Random oracle model
• Digital signature systems
• Guarantee Exclusive Ownership
• The Digital Signatures
• The Usual Algorithms
• Lack Exclusive Ownership
• TCP IP protocol suite
• Lecture TCP IP protocol suite
• Network layer
• Internet protocol
• Cryptography schemes
• Introduction to modern cryptography
• Modern cryptography
• Cryptographic hardness assumptions
• Computing discrete logarithms
• The public key revolution