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Concurrent Zero Knowledge 2006th Edition by Alon Rosen ISBN 3540329382 9783540329381

  • SKU: BELL-2117488
Concurrent Zero Knowledge 2006th Edition by Alon Rosen ISBN 3540329382 9783540329381
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Concurrent Zero Knowledge 2006th Edition by Alon Rosen ISBN 3540329382 9783540329381 instant download after payment.

Publisher: Springer
File Extension: PDF
File size: 1.83 MB
Pages: 189
Author: Alon Rosen
ISBN: 9783540329381, 3540329382
Language: English
Year: 2006
Edition: 1

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Concurrent Zero Knowledge 2006th Edition by Alon Rosen ISBN 3540329382 9783540329381 by Alon Rosen 9783540329381, 3540329382 instant download after payment.

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ISBN 10: 3540329382 
ISBN 13: 9783540329381
Author: Alon Rosen

Zero-knowledge proofs are fascinating and extremely useful constructs. Their fascinating nature is due to their seemingly contradictory de?nition; ze- knowledge proofs are convincing and yet yield nothing beyond the validity of the assertion being proved. Their applicability in the domain of cryptography is vast; they are typically used to force malicious parties to behave according to a predetermined protocol. In addition to their direct applicability in cr- tography, zero-knowledge proofs serve as a good benchmark for the study of variousproblemsregardingcryptographicprotocols(e.g.,“securecomposition of protocols”). A fundamental question regarding zero-knowledge protocols refers to the preservation of security (i.e., of the zero-knowledge feature) when many - stances are executed concurrently, and in particular under a purely as- chronous model. The practical importance of this question, in the days of extensive Internet communication, seems clear. It turned out that this qu- tion is also very interesting from a theoretical point of view. In particular, this question served as a benchmark for the study of the security of concurrent executions of protocols and led to the development of techniques for coping with the problems that arise in that setting.

Concurrent Zero Knowledge 2006th Table of contents:

Part I: Background and Foundations (Oded Goldreich's Contributions)

  • Chapter 1: Introduction to Computational Complexity Theory
    • Computational Models and Complexity Classes (P, NP, PSPACE)
    • Polynomial-Time Reductions and NP-Completeness
    • Probabilistic Polynomial-Time Computations (BPP, RP, ZPP)
    • Interactive Proof Systems (IP) and Their Power
  • Chapter 2: Cryptographic Primitives and Their Foundations
    • One-Way Functions and Permutations
    • Pseudorandom Generators and Functions
    • Commitment Schemes (Basic Definitions and Properties)
    • Collision-Resistant Hash Functions
  • Chapter 3: Basic Zero-Knowledge Proofs
    • Defining Zero-Knowledge: Completeness, Soundness, Zero-Knowledge Property
    • Honest-Verifier vs. Auxiliary-Input vs. General Zero-Knowledge
    • The Graph Isomorphism Protocol: A Canonical Example
    • Zero-Knowledge Proofs for NP (Goldreich-Micali-Wigderson Protocol)
    • The Power and Limitations of Zero-Knowledge Proofs

Part II: The Challenge of Concurrency

  • Chapter 4: Understanding Concurrent Executions
    • Models of Concurrency in Interactive Proofs
    • Concurrent Adversaries: Static vs. Adaptive
    • The "Mafia Fraud" Attack and the Breakdown of Standard ZK
    • Defining Concurrent Zero-Knowledge (cZK)
  • Chapter 5: The Rewinding Barrier
    • Black-Box Simulation and its Limits in Concurrent Settings
    • Why Standard ZK Simulators Fail Under Concurrency
    • Lower Bounds for Concurrent Zero-Knowledge

Part III: Achieving Concurrent Zero-Knowledge

  • Chapter 6: Statistical Concurrent Zero-Knowledge
    • Protocols under Stronger Assumptions (e.g., using Oblivious Transfer)
    • The Role of Shared Randomness (Common Reference String/CRS Model)
    • Concurrent ZK in the CRS Model
  • Chapter 7: Computational Concurrent Zero-Knowledge without CRS
    • The Fiat-Shamir Heuristic and Its Concurrent Properties
    • Using Interactive Hashing (e.g., Pointcheval-Stern Technique)
    • Techniques for "Heavy" Challenges and Unique Identification
    • Concurrent Zero-Knowledge Proofs of Knowledge (cZKPoK)
  • Chapter 8: Resettable Zero-Knowledge (RZK)
    • Definition and Stronger Security Guarantees
    • Constructing Resettable Zero-Knowledge Protocols
    • Relationship between RZK and Concurrent ZK

Part IV: Advanced Topics and Related Concepts

  • Chapter 9: Concurrent Witness-Indistinguishable (CWI) and Witness-Unforgeable (CWUF) Proofs
    • Definitions and Properties of WI and WUF
    • Achieving CWI and CWUF in Concurrent Settings
    • Applications in Signature Schemes and Secure Multi-Party Computation
  • Chapter 10: Composition Theorems in Zero-Knowledge
    • Sequential Composition
    • Parallel Composition
    • Concurrent Composition Revisited: Stronger Forms of Security
  • Chapter 11: Applications of Concurrent Zero-Knowledge
    • Secure Multi-Party Computation in Asynchronous Networks
    • Fair Exchange Protocols
    • E-Cash and Anonymous Credentials
    • Private Information Retrieval
  • Chapter 12: Open Problems and Future Directions
    • Efficiency and Practicality of Concurrent ZK Protocols
    • Concurrent ZK in Different Models (e.g., Universal Composability)
    • The Quest for Post-Quantum Concurrent Zero-Knowledge
    • New Notions of Concurrent Security

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Tags: Alon Rosen, Concurrent, Zero

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