Digital Signatures

Digital Signatures is the first and only book to explain the underlying cryptographic principles and techniques used in designing the secure digital signature schemes being utilized today. This book will help the reader understand and appreciate the security guarantees provided by digital signatures...

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Main Author Katz, Jonathan
Format eBook Book
LanguageEnglish
Published New York Springer Science + Business Media 2010
Springer
Springer US
Edition1. Aufl.
Subjects
Coding and Information Theory
Communications Engineering, Networks
Computer Communication Networks
Computer Science
Computer Systems Organization and Communication Networks
Cryptology
Data Structures and Information Theory
Electronic commerce
Computer Informatik
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Abstract Digital Signatures is the first and only book to explain the underlying cryptographic principles and techniques used in designing the secure digital signature schemes being utilized today. This book will help the reader understand and appreciate the security guarantees provided by digital signatures. Full descriptions, detailed constructions, and formal proofs of security are provided for essentially all known provably-secure signature schemes, state-of-the-art signature schemes used extensively in practice are also explained in detail.A valuable reference book for researchers and industry practitioners, Digital Signatures can also be used as a tutorial for self-study by advanced-level students in computer science, or as a textbook in a seminar on signature schemes.
AbstractList Digital Signatures is the first and only book to explain the underlying cryptographic principles and techniques used in designing the secure digital signature schemes being utilized today. This book will help the reader understand and appreciate the security guarantees provided by digital signatures. Full descriptions, detailed constructions, and formal proofs of security are provided for essentially all known provably-secure signature schemes, state-of-the-art signature schemes used extensively in practice are also explained in detail.A valuable reference book for researchers and industry practitioners, Digital Signatures can also be used as a tutorial for self-study by advanced-level students in computer science, or as a textbook in a seminar on signature schemes.
This is the first comprehensive account of the theoretical principles and techniques used in the design of provably secure signature schemes. The book provides the reader with a better understanding of the security guarantees provided by digital signatures.
Author Katz, Jonathan
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Snippet Digital Signatures is the first and only book to explain the underlying cryptographic principles and techniques used in designing the secure digital signature...
This is the first comprehensive account of the theoretical principles and techniques used in the design of provably secure signature schemes. The book provides...
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SubjectTerms Coding and Information Theory
Communications Engineering, Networks
Computer Communication Networks
Computer Science
Computer Systems Organization and Communication Networks
Cryptology
Data Structures and Information Theory
Electronic commerce
TableOfContents 8.3.3 The Micali/Ong-Schnorr Scheme -- 8.3.4 The Schnorr Scheme -- 8.4 Further Reading -- References -- Index
3.3 Signatures from One-Way Functions -- 3.3.1 Putting the Pieces Together -- 3.3.2 Thoughts on the Construction -- 3.4 Further Reading -- Chapter 4Signature Schemes Based on the (Strong) RSAAssumption -- 4.1 Introduction -- 4.1.1 Technical Preliminaries -- 4.1.2 Outline of the Chapter -- 4.2 Signature Schemes Based on the RSA Assumption -- 4.2.1 The Dwork-Naor Scheme -- 4.2.2 The Cramer-Damg°ard Scheme -- 4.2.3 The Hohenberger-Waters Scheme -- 4.3 Schemes Based on the Strong RSA Assumption -- 4.3.1 The Strong RSA Assumption -- 4.3.2 Security Against Known-Message Attacks -- 4.3.3 The Cramer-Shoup Scheme -- 4.3.4 The Fischlin Scheme -- 4.3.5 The Gennaro-Halevi-Rabin Scheme -- 4.4 Further Reading -- Chapter 5 Constructions Based on Bilinear Maps -- 5.1 Introduction -- 5.1.1 Technical Preliminaries -- 5.1.2 Outline of the Chapter -- 5.2 The Boneh-Boyen Scheme -- 5.3 The Waters Scheme -- 5.4 Further Reading -- Part IIIDigital Signature Schemes in theRandom Oracle Model -- Chapter 6 The Random Oracle Model -- 6.1 Security Proofs in the Random Oracle Model -- 6.2 Is the Random Oracle Methodology Sound? -- 6.2.1 Negative Results -- 6.3 The Random Oracle Model in Practice -- 6.4 Further Reading -- Chapter 7Full-Domain Hash (and Related) SignatureSchemes -- 7.1 The Full-Domain Hash (FDH) Signature Scheme -- 7.1.1 An Instantiation Using Bilinear Maps -- 7.2 An Improved Security Reduction for FDH -- 7.3 Probabilistic FDH -- 7.4 A Simpler Variant with a Tight Reduction -- 7.5 Further Reading -- Chapter 8Signature Schemes from Identification Schemes -- 8.1 Identification Schemes -- 8.2 From Identification Schemes to Signatures -- 8.2.1 The Fiat-Shamir Transform -- 8.2.2 Two Useful Criteria -- 8.2.3 One-Time Signature Schemes without Random Oracles -- 8.3 Some Secure Identification Schemes -- 8.3.1 The Fiat-Shamir Scheme -- 8.3.2 The Guillou-Quisquater Scheme
Intro -- Digital Signatures -- Preface -- Contents -- Part ISetting the Stage -- Chapter 1Digital Signatures: Background and Definitions -- 1.1 Digital Signature Schemes: A Quick Introduction -- 1.1.1 Properties of Digital Signatures -- 1.2 Computational Security -- 1.2.1 Computational Notions of Security -- 1.2.2 Notation -- 1.3 Defining Signature Schemes -- 1.4 Motivating the Definitions of Security -- 1.5 Formal Definitions of Security -- 1.5.1 Security against Random-Message Attacks -- 1.5.2 Security against Known-Message Attacks -- 1.5.3 Security against Adaptive Chosen-Message Attacks -- 1.6 Relations Between the Notions -- 1.7 Achieving CMA-Security fromWeaker Primitives -- 1.7.1 CMA-Security from RMA-security -- 1.7.2 CMA-Security from KMA-Security -- 1.8 From Unforgeability to Strong Unforgeability -- 1.9 Extending the Message Length -- 1.10 Further Reading -- Chapter 2Cryptographic Hardness Assumptions -- 2.1 "Generic" Cryptographic Assumptions -- 2.1.1 One-Way Functions and Permutations -- 2.1.2 Trapdoor Permutations -- 2.1.3 Clawfree (Trapdoor) Permutations -- 2.2 Specific Assumptions -- 2.2.1 Hardness of Factoring -- 2.2.2 The RSA Assumption -- 2.2.3 The Discrete Logarithm Assumption -- 2.3 Hash Functions -- 2.3.1 Definitions -- 2.3.2 The Merkle-Damg°ard Transform -- 2.3.3 Constructing Collision-Resistant Hash Functions -- 2.3.4 Constructing Universal One-Way Hash Functions -- 2.4 Applications of Hash Functions to Signature Schemes -- 2.4.1 Increasing the Message Length -- 2.4.2 Reducing the Public-Key Length -- 2.5 Further Reading -- Part IIDigital Signature Schemes withoutRandom Oracles -- Chapter 3Constructions Based on General Assumptions -- 3.1 Lamport's One-Time Signature Scheme -- 3.2 Signatures from One-Time Signatures -- 3.2.1 "Chain-Based" Signatures -- 3.2.2 "Tree-Based" Signatures -- 3.2.3 A Stateless Solution
Title Digital Signatures
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