Author: Stephan Krenn
Publisher:
ISBN: 9783832532178
Category :
Languages : en
Pages : 0
Book Description
A zero-knowledge proof of knowledge allows one party to convince another party that it knows a secret piece of information without revealing anything about it. Such protocols are important building blocks for many interesting higher-level cryptographic applications, such as e-voting and e-cash systems, digital signature and identification schemes, or anonymous credential systems. Unfortunately, their high computational costs, as well as long and error-prone implementation cycles, are major hurdles on their way to real-world usage. This thesis contributes to overcoming these restrictions. On the practical side, we introduce a compiler which automatically translates natural specifications of zero-knowledge proofs into concrete implementations. In addition, it generates formal proofs that the generated protocols are indeed sound. On the theoretical side, we analyze inherent efficiency limitations of igma-protocols, proving the optimality of currently known protocols. Finally, we consider zero-knowledge proofs in the Universal Composability framework. By enabling UC-compliant proofs of existence for the first time, we are able to decrease the computational complexity of many practically relevant UC-secure zero-knowledge protocols to an acceptable level.
Bringing Zero-Knowledge Proofs of Knowledge to Practice
Author: Stephan Krenn
Publisher:
ISBN: 9783832532178
Category :
Languages : en
Pages : 0
Book Description
A zero-knowledge proof of knowledge allows one party to convince another party that it knows a secret piece of information without revealing anything about it. Such protocols are important building blocks for many interesting higher-level cryptographic applications, such as e-voting and e-cash systems, digital signature and identification schemes, or anonymous credential systems. Unfortunately, their high computational costs, as well as long and error-prone implementation cycles, are major hurdles on their way to real-world usage. This thesis contributes to overcoming these restrictions. On the practical side, we introduce a compiler which automatically translates natural specifications of zero-knowledge proofs into concrete implementations. In addition, it generates formal proofs that the generated protocols are indeed sound. On the theoretical side, we analyze inherent efficiency limitations of igma-protocols, proving the optimality of currently known protocols. Finally, we consider zero-knowledge proofs in the Universal Composability framework. By enabling UC-compliant proofs of existence for the first time, we are able to decrease the computational complexity of many practically relevant UC-secure zero-knowledge protocols to an acceptable level.
Publisher:
ISBN: 9783832532178
Category :
Languages : en
Pages : 0
Book Description
A zero-knowledge proof of knowledge allows one party to convince another party that it knows a secret piece of information without revealing anything about it. Such protocols are important building blocks for many interesting higher-level cryptographic applications, such as e-voting and e-cash systems, digital signature and identification schemes, or anonymous credential systems. Unfortunately, their high computational costs, as well as long and error-prone implementation cycles, are major hurdles on their way to real-world usage. This thesis contributes to overcoming these restrictions. On the practical side, we introduce a compiler which automatically translates natural specifications of zero-knowledge proofs into concrete implementations. In addition, it generates formal proofs that the generated protocols are indeed sound. On the theoretical side, we analyze inherent efficiency limitations of igma-protocols, proving the optimality of currently known protocols. Finally, we consider zero-knowledge proofs in the Universal Composability framework. By enabling UC-compliant proofs of existence for the first time, we are able to decrease the computational complexity of many practically relevant UC-secure zero-knowledge protocols to an acceptable level.
Proofs, Arguments, and Zero-Knowledge
Author: Justin Thaler
Publisher:
ISBN: 9781638281252
Category : COMPUTERS
Languages : en
Pages : 0
Book Description
This monograph is about verifiable computing (VC). VC refers to cryptographic protocols called interactive proofs (IPs) and arguments that enable a prover to provide a guarantee to a verifier that the prover performed a requested computation correctly. This monograph covers different notions of mathematical proofs and their applications in computer science and cryptography. Informally, what we mean by a proof is anything that convinces someone that a statement is true, and a "proof system" is any procedure that decides what is and is not a convincing proof.Introduced in the 1980s, IPs and arguments represented a major conceptual expansion of what constitutes a "proof" that a statement is true. Traditionally, a proof is a static object that can be easily checked step-by-step for correctness. In contrast, IPs allow for interaction between prover and verifier, as well as a tiny but nonzero probability that an invalid proof passes verification. Arguments (but not IPs) even permit there to be "proofs" of false statements, so long as those "proofs" require exorbitant computational power to find. To an extent, these notions mimic in-person interactions that mathematicians use to convince each other that a claim is true, without going through the painstaking process of writing out and checking a traditional static proof.Celebrated theoretical results from the 1980s and 1990s, such as IP = PSPACE and MIP = NEXP showed that, in principle, surprisingly complicated statements can be verified efficiently. What is more, any argument can in principle be transformed into one that is zero-knowledge, which means that proofs reveal no information other than their own validity. Zero-knowledge arguments have a myriad of applications in cryptography.Within the last decade, general-purpose zero-knowledge arguments have made the jump from theory to practice. This has opened new doors in the design of cryptographic systems, and generated additional insights into the power of IPs and arguments (zero-knowledge or otherwise). There are now no fewer than five promising approaches to designing efficient, general-purpose zero-knowledge arguments. This monograph covers these approaches in a unified manner, emphasizing commonalities between them.
Publisher:
ISBN: 9781638281252
Category : COMPUTERS
Languages : en
Pages : 0
Book Description
This monograph is about verifiable computing (VC). VC refers to cryptographic protocols called interactive proofs (IPs) and arguments that enable a prover to provide a guarantee to a verifier that the prover performed a requested computation correctly. This monograph covers different notions of mathematical proofs and their applications in computer science and cryptography. Informally, what we mean by a proof is anything that convinces someone that a statement is true, and a "proof system" is any procedure that decides what is and is not a convincing proof.Introduced in the 1980s, IPs and arguments represented a major conceptual expansion of what constitutes a "proof" that a statement is true. Traditionally, a proof is a static object that can be easily checked step-by-step for correctness. In contrast, IPs allow for interaction between prover and verifier, as well as a tiny but nonzero probability that an invalid proof passes verification. Arguments (but not IPs) even permit there to be "proofs" of false statements, so long as those "proofs" require exorbitant computational power to find. To an extent, these notions mimic in-person interactions that mathematicians use to convince each other that a claim is true, without going through the painstaking process of writing out and checking a traditional static proof.Celebrated theoretical results from the 1980s and 1990s, such as IP = PSPACE and MIP = NEXP showed that, in principle, surprisingly complicated statements can be verified efficiently. What is more, any argument can in principle be transformed into one that is zero-knowledge, which means that proofs reveal no information other than their own validity. Zero-knowledge arguments have a myriad of applications in cryptography.Within the last decade, general-purpose zero-knowledge arguments have made the jump from theory to practice. This has opened new doors in the design of cryptographic systems, and generated additional insights into the power of IPs and arguments (zero-knowledge or otherwise). There are now no fewer than five promising approaches to designing efficient, general-purpose zero-knowledge arguments. This monograph covers these approaches in a unified manner, emphasizing commonalities between them.
Concurrent Zero-Knowledge
Author: Alon Rosen
Publisher: Springer Science & Business Media
ISBN: 3540329390
Category : Computers
Languages : en
Pages : 191
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.
Publisher: Springer Science & Business Media
ISBN: 3540329390
Category : Computers
Languages : en
Pages : 191
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.
Advances in Cryptology -- ASIACRYPT 2012
Author: Xiaoyun Wang
Publisher: Springer Science & Business Media
ISBN: 3642349617
Category : Computers
Languages : en
Pages : 791
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.
Publisher: Springer Science & Business Media
ISBN: 3642349617
Category : Computers
Languages : en
Pages : 791
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 ’91
Author: Joan Feigenbaum
Publisher: Springer
ISBN: 3540467661
Category : Computers
Languages : en
Pages : 494
Book Description
Crypto '91 was the eleventh in a series of workshops on cryptology sponsoredby the International Association for Cryptologic Research and was held in Santa Barbara, California, in August 1991. This volume contains a full paper or an extended abstract for each of the 39 talks presented at the workshop. All theoretical and practical aspects of cryptology are represented, including: protocol design and analysis, combinatorics and authentication, secret sharing and information theory, cryptanalysis, complexity theory, cryptographic schemas based on number theory, pseudorandomness, applications and implementations, viruses, public-key cryptosystems, and digital signatures.
Publisher: Springer
ISBN: 3540467661
Category : Computers
Languages : en
Pages : 494
Book Description
Crypto '91 was the eleventh in a series of workshops on cryptology sponsoredby the International Association for Cryptologic Research and was held in Santa Barbara, California, in August 1991. This volume contains a full paper or an extended abstract for each of the 39 talks presented at the workshop. All theoretical and practical aspects of cryptology are represented, including: protocol design and analysis, combinatorics and authentication, secret sharing and information theory, cryptanalysis, complexity theory, cryptographic schemas based on number theory, pseudorandomness, applications and implementations, viruses, public-key cryptosystems, and digital signatures.
Public-Key Cryptography -- PKC 2013
Author: Kaoru Kurosawa
Publisher: Springer
ISBN: 3642363628
Category : Computers
Languages : en
Pages : 528
Book Description
This book constitutes the refereed proceedings of the 16th International Conference on Practice and Theory in Public-Key Cryptography, PKC 2013, held in Nara, Japan, in February/March 2013. The 28 papers presented together with 2 invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in the following topical sections: homomorphic encryption, primitives, functional encryption/signatures, RSA, IBE and IPE, key exchange, signature schemes, encryption, and protocols.
Publisher: Springer
ISBN: 3642363628
Category : Computers
Languages : en
Pages : 528
Book Description
This book constitutes the refereed proceedings of the 16th International Conference on Practice and Theory in Public-Key Cryptography, PKC 2013, held in Nara, Japan, in February/March 2013. The 28 papers presented together with 2 invited talks were carefully reviewed and selected from numerous submissions. The papers are organized in the following topical sections: homomorphic encryption, primitives, functional encryption/signatures, RSA, IBE and IPE, key exchange, signature schemes, encryption, and protocols.
Real-World Cryptography
Author: David Wong
Publisher: Simon and Schuster
ISBN: 1638350841
Category : Computers
Languages : en
Pages : 398
Book Description
"A staggeringly comprehensive review of the state of modern cryptography. Essential for anyone getting up to speed in information security." - Thomas Doylend, Green Rocket Security An all-practical guide to the cryptography behind common tools and protocols that will help you make excellent security choices for your systems and applications. In Real-World Cryptography, you will find: Best practices for using cryptography Diagrams and explanations of cryptographic algorithms Implementing digital signatures and zero-knowledge proofs Specialized hardware for attacks and highly adversarial environments Identifying and fixing bad practices Choosing the right cryptographic tool for any problem Real-World Cryptography reveals the cryptographic techniques that drive the security of web APIs, registering and logging in users, and even the blockchain. You’ll learn how these techniques power modern security, and how to apply them to your own projects. Alongside modern methods, the book also anticipates the future of cryptography, diving into emerging and cutting-edge advances such as cryptocurrencies, and post-quantum cryptography. All techniques are fully illustrated with diagrams and examples so you can easily see how to put them into practice. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Cryptography is the essential foundation of IT security. To stay ahead of the bad actors attacking your systems, you need to understand the tools, frameworks, and protocols that protect your networks and applications. This book introduces authentication, encryption, signatures, secret-keeping, and other cryptography concepts in plain language and beautiful illustrations. About the book Real-World Cryptography teaches practical techniques for day-to-day work as a developer, sysadmin, or security practitioner. There’s no complex math or jargon: Modern cryptography methods are explored through clever graphics and real-world use cases. You’ll learn building blocks like hash functions and signatures; cryptographic protocols like HTTPS and secure messaging; and cutting-edge advances like post-quantum cryptography and cryptocurrencies. This book is a joy to read—and it might just save your bacon the next time you’re targeted by an adversary after your data. What's inside Implementing digital signatures and zero-knowledge proofs Specialized hardware for attacks and highly adversarial environments Identifying and fixing bad practices Choosing the right cryptographic tool for any problem About the reader For cryptography beginners with no previous experience in the field. About the author David Wong is a cryptography engineer. He is an active contributor to internet standards including Transport Layer Security. Table of Contents PART 1 PRIMITIVES: THE INGREDIENTS OF CRYPTOGRAPHY 1 Introduction 2 Hash functions 3 Message authentication codes 4 Authenticated encryption 5 Key exchanges 6 Asymmetric encryption and hybrid encryption 7 Signatures and zero-knowledge proofs 8 Randomness and secrets PART 2 PROTOCOLS: THE RECIPES OF CRYPTOGRAPHY 9 Secure transport 10 End-to-end encryption 11 User authentication 12 Crypto as in cryptocurrency? 13 Hardware cryptography 14 Post-quantum cryptography 15 Is this it? Next-generation cryptography 16 When and where cryptography fails
Publisher: Simon and Schuster
ISBN: 1638350841
Category : Computers
Languages : en
Pages : 398
Book Description
"A staggeringly comprehensive review of the state of modern cryptography. Essential for anyone getting up to speed in information security." - Thomas Doylend, Green Rocket Security An all-practical guide to the cryptography behind common tools and protocols that will help you make excellent security choices for your systems and applications. In Real-World Cryptography, you will find: Best practices for using cryptography Diagrams and explanations of cryptographic algorithms Implementing digital signatures and zero-knowledge proofs Specialized hardware for attacks and highly adversarial environments Identifying and fixing bad practices Choosing the right cryptographic tool for any problem Real-World Cryptography reveals the cryptographic techniques that drive the security of web APIs, registering and logging in users, and even the blockchain. You’ll learn how these techniques power modern security, and how to apply them to your own projects. Alongside modern methods, the book also anticipates the future of cryptography, diving into emerging and cutting-edge advances such as cryptocurrencies, and post-quantum cryptography. All techniques are fully illustrated with diagrams and examples so you can easily see how to put them into practice. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Cryptography is the essential foundation of IT security. To stay ahead of the bad actors attacking your systems, you need to understand the tools, frameworks, and protocols that protect your networks and applications. This book introduces authentication, encryption, signatures, secret-keeping, and other cryptography concepts in plain language and beautiful illustrations. About the book Real-World Cryptography teaches practical techniques for day-to-day work as a developer, sysadmin, or security practitioner. There’s no complex math or jargon: Modern cryptography methods are explored through clever graphics and real-world use cases. You’ll learn building blocks like hash functions and signatures; cryptographic protocols like HTTPS and secure messaging; and cutting-edge advances like post-quantum cryptography and cryptocurrencies. This book is a joy to read—and it might just save your bacon the next time you’re targeted by an adversary after your data. What's inside Implementing digital signatures and zero-knowledge proofs Specialized hardware for attacks and highly adversarial environments Identifying and fixing bad practices Choosing the right cryptographic tool for any problem About the reader For cryptography beginners with no previous experience in the field. About the author David Wong is a cryptography engineer. He is an active contributor to internet standards including Transport Layer Security. Table of Contents PART 1 PRIMITIVES: THE INGREDIENTS OF CRYPTOGRAPHY 1 Introduction 2 Hash functions 3 Message authentication codes 4 Authenticated encryption 5 Key exchanges 6 Asymmetric encryption and hybrid encryption 7 Signatures and zero-knowledge proofs 8 Randomness and secrets PART 2 PROTOCOLS: THE RECIPES OF CRYPTOGRAPHY 9 Secure transport 10 End-to-end encryption 11 User authentication 12 Crypto as in cryptocurrency? 13 Hardware cryptography 14 Post-quantum cryptography 15 Is this it? Next-generation cryptography 16 When and where cryptography fails
Advances in Cryptology — CRYPTO ’92
Author: Ernest F. Brickell
Publisher: Springer
ISBN: 3540480714
Category : Computers
Languages : en
Pages : 602
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).
Publisher: Springer
ISBN: 3540480714
Category : Computers
Languages : en
Pages : 602
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).
Advances in Cryptology - ASIACRYPT 2010
Author: Masayuki Abe
Publisher:
ISBN: 9783642173745
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9783642173745
Category :
Languages : en
Pages :
Book Description
How to Prove It
Author: Daniel J. Velleman
Publisher: Cambridge University Press
ISBN: 0521861241
Category : Mathematics
Languages : en
Pages : 401
Book Description
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Publisher: Cambridge University Press
ISBN: 0521861241
Category : Mathematics
Languages : en
Pages : 401
Book Description
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.