Concurrent Zero-Knowledge


Book Description

Protocols that remain zero-knowledge when many instances are executed concurrently are called concurrent zero-knowledge, and this book is devoted to their study. The book presents constructions of concurrent zero-knowledge protocols, along with proofs of security. It also shows why "traditional" proof techniques (i.e., black-box simulation) are not suitable for establishing the concurrent zero-knowledge property of "message-efficient" protocols.




Probabilistic Proof Systems


Book Description

Various types of probabilistic proof systems have played a central role in the development of computer science in the last couple of decades. These proof systems deviate from the traditional concept of a proof by introducing randomization and interaction into the verification process. Probabilistic proof systems carry an error probability (which is explicitly bounded and can be decreased by repetitions), but they offer various advantages over deterministic proof systems. This primer concentrates on three types of probabilistic proof systems: interactive proofs, zero-knowledge proofs, and probabilistically checkable proofs (PCP). Surveying the basic results regarding these proof systems, the primer stresses the essential role of randomness in each of them.




Advances in Cryptology - CRYPTO '87


Book Description

Zero-knowledge interactive proofsystems are a new technique which can be used as a cryptographic tool for designing provably secure protocols. Goldwasser, Micali, and Rackoff originally suggested this technique for controlling the knowledge released in an interactive proof of membership in a language, and for classification of languages [19]. In this approach, knowledge is defined in terms of complexity to convey knowledge if it gives a computational advantage to the receiver, theory, and a message is said for example by giving him the result of an intractable computation. The formal model of interacting machines is described in [19, 15, 171. A proof-system (for a language L) is an interactive protocol by which one user, the prover, attempts to convince another user, the verifier, that a given input x is in L. We assume that the verifier is a probabilistic machine which is limited to expected polynomial-time computation, while the prover is an unlimited probabilistic machine. (In cryptographic applications the prover has some trapdoor information, or knows the cleartext of a publicly known ciphertext) A correct proof-system must have the following properties: If XE L, the prover will convince the verifier to accept the pmf with very high probability. If XP L no prover, no matter what program it follows, is able to convince the verifier to accept the proof, except with vanishingly small probability.




Advances in Cryptology - CRYPTO 2001


Book Description

Crypto 2001, the 21st Annual Crypto conference, was sponsored by the Int- national Association for Cryptologic Research (IACR) in cooperation with the IEEE Computer Society Technical Committee on Security and Privacy and the Computer Science Department of the University of California at Santa Barbara. The conference received 156 submissions, of which the program committee selected 34 for presentation; one was later withdrawn. These proceedings contain the revised versions of the 33 submissions that were presented at the conference. These revisions have not been checked for correctness, and the authors bear full responsibility for the contents of their papers. The conference program included two invited lectures. Mark Sherwin spoke on, \Quantum information processing in semiconductors: an experimentalist’s view." Daniel Weitzner spoke on, \Privacy, Authentication & Identity: A recent history of cryptographic struggles for freedom." The conference program also included its perennial \rump session," chaired by Stuart Haber, featuring short, informal talks on late{breaking research news. As I try to account for the hours of my life that ?ew o to oblivion, I realize that most of my time was spent cajoling talented innocents into spending even more time on my behalf. I have accumulated more debts than I can ever hope to repay. As mere statements of thanks are certainly insu cient, consider the rest of this preface my version of Chapter 11.




Mastering Zero-knowledge Proofs


Book Description

DESCRIPTION "Mastering Zero-knowledge Proofs" is your ultimate guide to blockchain and ZKPs. It connects blockchain's core elements, like distributed ledgers and smart contracts, to ZKPs' advanced privacy solutions, emphasizing their significance in today's digital world, and provides a robust understanding of how these cryptographic techniques can revolutionize security and privacy in various applications. In this book, you will explore the basics of blockchain and ZKPs. You will gain technical skills like group theory and elliptic curve cryptography. Each chapter covers practical applications of ZKPs in blockchain systems, addressing challenges, ongoing research, and real-world use cases across industries like healthcare and finance. You will find detailed explanations of SNARKs, STARKs, and PLONK, along with practical guidance on constructing and implementing these non-interactive proofs. You will learn about innovative solutions, zero-knowledge virtual machines, ZK-Rollups, and ZK-EVM, along with a step-by-step guide for building and deploying these technologies. By the end of this book, you will have a solid understanding of Zero-knowledge Proofs and their applications in blockchain development. You will be equipped to implement privacy-preserving solutions, enhancing security and efficiency in your projects, making you a competent contributor in the evolving blockchain space. KEY FEATURES ● In-depth exploration of Zero-knowledge Proof concepts and applications. ● Practical insights into implementing ZKP in real-world systems. ● Comprehensive coverage from blockchain basics to advanced cryptography. WHAT YOU WILL LEARN ● Understand the fundamentals of Zero-knowledge Proofs and blockchain. ● Construct and implement SNARKs, STARKs, and PLONK proofs. ● Apply Zero-knowledge Proofs to enhance security and privacy in applications. ● Utilize zero-knowledge virtual machines and ZK-Rollups. ● Integrate ZK-EVM into Ethereum for scalable solutions. ● Identify and overcome challenges in Zero-knowledge Proofs. WHO THIS BOOK IS FOR This book is ideal for blockchain developers, security professionals, and researchers with a foundational understanding of cryptography and blockchain technology. TABLE OF CONTENTS 1. Introduction to Blockchain Technology 2. Introduction to Zero-knowledge Proofs 3. Introduction to SNARKS 4. SNARK Construction: Non-interactive Proof Building 5. Advanced SNARK Paradigms and Techniques 6. SNARK versus STARK 7. SNARKs In-depth and PLONK 8. Zero-Knowledge Virtual Machines 9. ZK-Rollups: Scalability Meets Privacy 10. Conceptualizing ZK-EVM in Ethereum 11. ZK Swaps: Revolutionizing Decentralized Exchanges 12. Zero-Knowledge Identity 13. Challenges and Limitations of Zero-knowledge Proofs 14. Ongoing Research and Development in Zero-knowledge Proofs 15. Real-world Applications of Zero-knowledge Proofs




Quantum Proofs


Book Description

Quantum Proofs provides an overview of many of the known results concerning quantum proofs, computational models based on this concept, and properties of the complexity classes they define. In particular, it discusses non-interactive proofs and the complexity class QMA, single-prover quantum interactive proof systems and the complexity class QIP, statistical zero-knowledge quantum interactive proof systems and the complexity class QSZK, and multiprover interactive proof systems and the complexity classes QMIP, QMIP*, and MIP*. Quantum Proofs is mainly intended for non-specialists having a basic background in complexity theory and quantum information. A typical reader may be a student or researcher in either area desiring to learn about the fundamentals of the (actively developing) theory of quantum interactive proofs.




Advances in Cryptology -- ASIACRYPT 2012


Book Description

This book constitutes the refereed proceedings of the 18th International Conference on the Theory and Application of Cryptology and Information Security, Asiacrypt 2012, held in Beijing, China, in December 2012. The 43 full papers presented were carefully reviewed and selected from 241 submissions. They are organized in topical sections named: public-key cryptography, foundation, symmetric cipher, security proof, lattice-based cryptography and number theory, hash function, cryptographic protocol, and implementation issues.




Advances in Cryptology - CRYPTO '89


Book Description

CRYPTO is a conference devoted to all aspects of cryptologic research. It is held each year at the University of California at Santa Barbara. Annual meetings on this topic also take place in Europe and are regularly published in this Lecture Notes series under the name of EUROCRYPT. This volume presents the proceedings of the ninth CRYPTO meeting. The papers are organized into sections with the following themes: Why is cryptography harder than it looks?, pseudo-randomness and sequences, cryptanalysis and implementation, signature and authentication, threshold schemes and key management, key distribution and network security, fast computation, odds and ends, zero-knowledge and oblivious transfer, multiparty computation.




Foundations of Cryptography: Volume 1, Basic Tools


Book Description

Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. This book presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. It focuses on the basic mathematical tools: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs. Rather than describing ad-hoc approaches, this book emphasizes the clarification of fundamental concepts and the demonstration of the feasibility of solving cryptographic problems. It is suitable for use in a graduate course on cryptography and as a reference book for experts.




Advances in Cryptology — CRYPTO ’92


Book Description

Crypto'92 took place on August 16-20, 1992. It was the twelfth in the series of annual cryptology conferences held on the beautiful campus of the University of California, Santa Barbara. Once again, it was sponsored by the International Association for Cryptologic Research, in cooperation with the IEEE Computer Society Technical Committee on Security and Privacy. The conference ran smoothly, due to the diligent efforts of the g- eral chair, Spyros Magliveras of the University of Nebraska. One of the measures of the success of this series of conferences is represented by the ever increasing number of papers submitted. This year, there were 135 submissions to the c- ference, which represents a new record. Following the practice of recent program comm- tees, the papers received anonymous review. The program committee accepted 38 papers for presentation. In addition, there were two invited presentations, one by Miles Smid on the Digital Signature Standard, and one by Mike Fellows on presenting the concepts of cryptology to elementary-age students. These proceedings contains these 40 papers plus 3 papers that were presented at the Rump Session. I would like to thank all of the authors of the submitted papers and all of the speakers who presented papers. I would like to express my sincere appreciation to the work of the program committee: Ivan Damgard (Aarhus University, Denmark), Odd Goldreich (Technion, Israel), Burt Kaliski (RSA Data Security, USA), Joe Kilian (NEC, USA).