An Introduction To Secret Sharing

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An Introduction To Secret Sharing

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Author : Stephan Krenn
language : en
Publisher: Springer Nature
Release Date : 2023-05-25

An Introduction To Secret Sharing written by Stephan Krenn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-25 with Computers categories.

This book provides an introduction to secret sharing, a key technology for practical applications and higher-level cryptographic protocols. This survey analyzes existing work, and systematically presents secret sharing protocols for various adversary models. It provides intuitive as well as formal descriptions of the different types of adversaries, including their computational powers and capabilities. In addition, it then offers guidance and support in selecting the appropriate type of protocol for a given application domain, present representative protocols, and provide useful references for further reading and research. This book aims to support software developers and engineers in realizing highly secure cloud-based applications, and also provides an introduction to the field including some relevant technical background for interested students and computer scientists.

Secure Multiparty Computation

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Author : Ronald Cramer
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-15

Secure Multiparty Computation written by Ronald Cramer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-15 with Computers categories.

This book provides information on theoretically secure multiparty computation (MPC) and secret sharing, and the fascinating relationship between the two concepts.

Code Based Secret Sharing Schemes Applied Combinatorial Coding Theory

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Author : Patrick Sole
language : en
Publisher: World Scientific
Release Date : 2022-04-11

Code Based Secret Sharing Schemes Applied Combinatorial Coding Theory written by Patrick Sole and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-11 with Computers categories.

Secret sharing schemes form one of the most important topic in Cryptography. These protocols are used in many areas, applied mathematics, computer science, electrical engineering. A secret is divided into several pieces called shares. Each share is given to a user of the system. Each user has no information about the secret, but the secret can be retrieved by certain authorized coalition of users.This book is devoted to such schemes inspired by Coding Theory. The classical schemes of Shamir, Blakley, Massey are recalled. Survey is made of research in Combinatorial Coding Theory they triggered, mostly self-dual codes, and minimal codes. Applications to engineering like image processing, and key management of MANETs are highlighted.

Novel Secret Sharing And Commitment Schemes For Cryptographic Applications

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Author : Mehrdad Nojoumian
language : en
Publisher:
Release Date : 2012

Novel Secret Sharing And Commitment Schemes For Cryptographic Applications written by Mehrdad Nojoumian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

In the second chapter, the notion of a social secret sharing (SSS) scheme is introduced in which shares are allocated based on a player's reputation and the way she interacts with other parties. In other words, this scheme renews shares at each cycle without changing the secret, and it allows the trusted parties to gain more authority. Our motivation is that, in real-world applications, components of a secure scheme have different levels of importance (i.e., the number of shares a player has) and reputation (i.e., cooperation with other parties). Therefore, a good construction should balance these two factors accordingly. In the third chapter, a novel socio-rational secret sharing (SRS) scheme is introduced in which rational foresighted players have long-term interactions in a social context, i.e., players run secret sharing while founding and sustaining a public trust network. To motivate this, consider a repeated secret sharing game such as sealed-bid auctions. If we assume each party has a reputation value, we can then penalize (or reward) the players who are selfish (or unselfish) from game to game. This social reinforcement stimulates the players to be cooperative in the secret recovery phase. Unlike the existing protocols in the literature, the proposed solution is stable and it only has a single reconstruction round. In the fourth chapter, a comprehensive analysis of the existing dynamic secret sharing (DSS) schemes is first provided. In a threshold scheme, the sensitivity of the secret and the number of players may fluctuate due to various reasons. Moreover, a common problem with almost all secret sharing schemes is that they are "one-time", meaning that the secret and shares are known to everyone after secret recovery. We therefore provide new techniques where the threshold and/or the secret can be changed multiple times to arbitrary values after the initialization. In addition, we introduce a new application of dynamic threshold schemes, named sequential secret sharing (SQS), in which several secrets with increasing thresholds are shared among the players who have different levels of authority. In the fifth chapter, a cryptographic primitive, named multicomponent commitment scheme (MCS) is proposed where we have multiple committers and verifiers. This new scheme is used to construct different sealed-bid auction protocols (SAP) where the auction outcomes are defined without revealing the losing bids. The main reason for constructing secure auctions is the fact that the values of the losing bids can be exploited in future auctions and negotiations if they are not kept private. In our auctioneer-free protocols, bidders first commit to their bids before the auction starts. They then apply a decreasing price mechanism to define the winner and selling price in an unconditionally secure setting.

Algebra For Applications

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Author : Arkadii Slinko
language : en
Publisher: Springer
Release Date : 2015-08-19

Algebra For Applications written by Arkadii Slinko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-19 with Mathematics categories.

This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory. This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such real-life applications as cryptography, secret sharing, error-correcting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to third-year undergraduates, it is self-contained with numerous worked examples and exercises provided to test understanding. It can additionally be used for self-study.

Secret Sharing Schemes And Conditional Disclosure Of Secrets Protocols

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Author : Naty Peter
language : en
Publisher:
Release Date : 2020

Secret Sharing Schemes And Conditional Disclosure Of Secrets Protocols written by Naty Peter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.

"In this thesis we study a cryptographic primitive called secret-sharing schemes. A secret-sharing scheme is a method by which a dealer, holding a secret string, distributes shares to parties such that only authorized subsets of parties can reconstruct the secret from their shares. The collection of authorized subsets is called an access structure. Secret-sharing schemes are an important tool in cryptography, and they are used as a building-box in many secure protocols, such as secure multiparty computation protocols, threshold cryptography, access control, attribute-based encryption, and generalized oblivious transfer protocols. A secret-sharing scheme is linear if the shares are generated using a linear function. It is important to construct linear secret-sharing schemes, since in many of the applications of secret-sharing schemes it is required that the scheme is linear." -- From the abstract.

Advances In Cryptology Crypto 93

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Author : Douglas R. Stinson
language : en
Publisher: Springer
Release Date : 2003-05-15

Advances In Cryptology Crypto 93 written by Douglas R. Stinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-15 with Computers categories.

The CRYPTO ’93 conference was sponsored by the International Association for Cryptologic Research (IACR) and Bell-Northern Research (a subsidiary of Northern Telecom), in co-operation with the IEEE Computer Society Technical Committee. It took place at the University of California, Santa Barbara, from August 22-26, 1993. This was the thirteenth annual CRYPTO conference, all of which have been held at UCSB. The conference was very enjoyable and ran very of the General Chair, Paul Van Oorschot. smoothly, largely due to the efforts It was a pleasure working with Paul throughout the months leading up to the conference. There were 136 submitted papers which were considered by the Program Committee. Of these, 38 were selected for presentation at the conference. There was also one invited talk at the conference, presented by Miles Smid, the title of which was “A Status Report On the Federal Government Key Escrow System.” The conference also included the customary Rump Session, which was presided over by Whit Diffie in his usual inimitable fashion. Thanks again to Whit for organizing and running the Rump session. This year, the Rump Session included an interesting and lively panel discussion on issues pertaining to key escrowing. Those taking part were W. Diffie, J. Gilmore, S. Goldwasser, M. Hellman, A. Herzberg, S. Micali, R. Rueppel, G. Simmons and D. Weitzner.

On Foundations Of Public Key Encryption And Secret Sharing

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Author : Akshay Dhananjai Degwekar
language : en
Publisher:
Release Date : 2019

On Foundations Of Public Key Encryption And Secret Sharing written by Akshay Dhananjai Degwekar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.

Since the inception of Cryptography, Information theory and Coding theory have influenced cryptography in myriad ways including numerous information-theoretic notions of security in secret sharing, multiparty computation and statistical zero knowledge; and by providing a large toolbox used extensively in cryptography. This thesis addresses two questions in this realm: Leakage Resilience of Secret Sharing Schemes. We show that classical secret sharing schemes like Shamir secret sharing and additive secret sharing over prime order fields are leakage resilient. Leakage resilience of secret sharing schemes is closely related to locally repairable codes and our results can be viewed as impossibility results for local recovery over prime order fields. As an application of the result, we show the leakage resilience of a variant of the Goldreich-Micali-Wigderson protocol. From Laconic Statistical Zero Knowledge Proofs to Public Key Encryption. Languages with statistical zero knowledge proofs that are also average-case hard have been used to construct various cryptographic primitives. We show that hard languages with laconic SZK proofs, that is proof systems where the communication from the prover to the verifier is small, imply public key encryption.

Visual Cryptography And Secret Image Sharing

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Author : Stelvio Cimato
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Visual Cryptography And Secret Image Sharing written by Stelvio Cimato and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Computers categories.

With rapid progress in Internet and digital imaging technology, there are more and more ways to easily create, publish, and distribute images. Considered the first book to focus on the relationship between digital imaging and privacy protection, Visual Cryptography and Secret Image Sharing is a complete introduction to novel security methods and sharing-control mechanisms used to protect against unauthorized data access and secure dissemination of sensitive information. Image data protection and image-based authentication techniques offer efficient solutions for controlling how private data and images are made available only to select people. Essential to the design of systems used to manage images that contain sensitive data—such as medical records, financial transactions, and electronic voting systems—the methods presented in this book are useful to counter traditional encryption techniques, which do not scale well and are less efficient when applied directly to image files. An exploration of the most prominent topics in digital imaging security, this book discusses: Potential for sharing multiple secrets Visual cryptography schemes—based either on the probabilistic reconstruction of the secret image, or on different logical operations for combining shared images Inclusion of pictures in the distributed shares Contrast enhancement techniques Color-image visual cryptography Cheating prevention Alignment problems for image shares Steganography and authentication In the continually evolving world of secure image sharing, a growing number of people are becoming involved as new applications and business models are being developed all the time. This contributed volume gives academicians, researchers, and professionals the insight of well-known experts on key concepts, issues, trends, and technologies in this emerging field.

Advances In Cryptology Crypto 92

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Author : Ernest F. Brickell
language : en
Publisher: Springer
Release Date : 2003-06-30

Advances In Cryptology Crypto 92 written by Ernest F. Brickell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.

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).