Download or read book Partially Homomorphic Encryption written by Çetin Kaya Koç and published by Springer Nature. This book was released on 2021-09-29 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph describes and implements partially homomorphic encryption functions using a unified notation. After introducing the appropriate mathematical background, the authors offer a systematic examination of the following known algorithms: Rivest-Shamir-Adleman; Goldwasser-Micali; ElGamal; Benaloh; Naccache-Stern; Okamoto-Uchiyama; Paillier; Damgaard-Jurik; Boneh-Goh-Nissim; and Sander-Young-Yung. Over recent years partially and fully homomorphic encryption algorithms have been proposed and researchers have addressed issues related to their formulation, arithmetic, efficiency and security. Formidable efficiency barriers remain, but we now have a variety of algorithms that can be applied to various private computation problems in healthcare, finance and national security, and studying these functions may help us to understand the difficulties ahead. The book is valuable for researchers and graduate students in Computer Science, Engineering, and Mathematics who are engaged with Cryptology.

Download or read book A Study of Partially Homomorphic Encryption Schemes written by Shifat P. Mithila and published by . This book was released on 2017 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: High processing time and implementation complexity of the fully homomorphic encryption schemes intrigued cryptographers to extend partially homomorphic encryption schemes to allow homomorphic computation for larger classes of polynomials. In this thesis, we study several public key and partially homomorphic schemes and discuss a recent technique for boosting linearly homomorphic encryption schemes. Further, we implement this boosting technique on CGS linearly homomorphic encryption scheme to allow one single multiplication as well as arbitrary number of additions on encrypted plaintexts. We provide MAGMA source codes for the implementation of the CGS scheme along with the boosted CGS scheme.

Download or read book Fully Homomorphic Encryption in Real World Applications written by Ayantika Chatterjee and published by Springer. This book was released on 2019-03-29 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest developments in fully homomorphic encryption (FHE), an effective means of performing arbitrary operations on encrypted data before storing it in the ‘cloud’. The book begins by addressing perennial problems like sorting and searching through FHE data, followed by a detailed discussion of the basic components of any algorithm and adapting them to handle FHE data. In turn, the book focuses on algorithms in both non-recursive and recursive versions and discusses their realizations and challenges while operating in the FHE domain on existing unencrypted processors. It highlights potential complications and proposes solutions for encrypted database design with complex queries, including the basic design details of an encrypted processor architecture to support FHE operations in real-world applications.

Download or read book Homomorphic Encryption and Applications written by Xun Yi and published by Springer. This book was released on 2014-11-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the fundamental concepts of homomorphic encryption. From these foundations, applications are developed in the fields of private information retrieval, private searching on streaming data, privacy-preserving data mining, electronic voting and cloud computing. The content is presented in an instructional and practical style, with concrete examples to enhance the reader's understanding. This volume achieves a balance between the theoretical and the practical components of modern information security. Readers will learn key principles of homomorphic encryption as well as their application in solving real world problems.

Download or read book Advances to Homomorphic and Searchable Encryption written by Stefania Loredana Nita and published by Springer Nature. This book was released on 2023-10-28 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the current state of the literature on the fields of homomorphic and searchable encryption, from both theoretical and practical points of view. Homomorphic and searchable encryption are still relatively novel and rapidly evolving areas and face practical constraints in the contexts of large-scale cloud computing and big data. Both encryption methods can be quantum-resistant if they use the right mathematical techniques. In fact, many fully homomorphic encryption schemes already use quantum-resistant techniques, such as lattices or characteristics of polynomials – which is what motivated the authors to present them in detail. On the one hand, the book highlights the characteristics of each type of encryption, including methods, security elements, security requirements, and the main types of attacks that can occur. On the other, it includes practical cases and addresses aspects like performance, limitations, etc. As cloud computing and big data already represent the future in terms of storing, managing, analyzing, and processing data, these processes need to be made as secure as possible, and homomorphic and searchable encryption hold huge potential to secure both the data involved and the processes through which it passes. This book is intended for graduates, professionals and researchers alike. Homomorphic and searchable encryption involve advanced mathematical techniques; accordingly, readers should have a basic background in number theory, abstract algebra, lattice theory, and polynomial algebra.

Download or read book Partially Homomorphic Encryption Scheme for Real Time Image Stream written by Angel Ivan Vazquez-Salazar and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: With over 20 billion internet of things (IoT) devices connected today, having the possibility to implement a low-cost security camera is now an option. Camera vendors can provide software to enable remote viewing anywhere around the world. However, the problem arises in security measure taken. By only providing encrypted services to authenticate a user by login credentials, there still is a vulnerability in raw stream. Newer types of intrusions like spoofing, or man in the middle attacks mean that once they have breached the account, they are able to gain full viewing access of the camera stream. However, by encrypting the stream of these IoT cameras, we have a chance to truly retain privacy and ownership of our data. With IoT devices being limited with on-board memory and CPU speeds, this can be a challenge. To mitigate and offset any CPU intensive work, we will encrypt the data between our cloudlet device and our edge device by using a partially homomorphic encryption scheme called ”Elgamal encryption”. This CPU offloading allows the cloudlet to transmit streams at much higher framerate. The proposed system will utilize a Raspberry Pi 4, for our cloudlet with our desktop being the edge.

Download or read book An Enhanced Homomorphic Encryption Model for Preserving Privacy in Clouds written by Sonam Mittal and published by . This book was released on 2023-05-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An Enhanced Homomorphic Encryption Model for Preserving Privacy in Clouds" is a comprehensive and innovative book that explores the application of enhanced homomorphic encryption techniques to safeguard privacy in cloud computing environments. Authored by experts in the field, this book serves as a valuable resource for researchers, professionals, and practitioners interested in leveraging advanced encryption methods to protect sensitive data while harnessing the benefits of cloud computing. In this book, the authors delve into the critical need for privacy preservation in cloud computing, where data is outsourced to remote servers. They introduce an enhanced homomorphic encryption model that enables computations on encrypted data, allowing secure and privacy-preserving data processing in cloud environments. The book covers various aspects of the enhanced homomorphic encryption model, including its theoretical foundations, implementation considerations, and practical applications. Key topics covered in this book include: Privacy challenges in cloud computing: The authors provide a comprehensive overview of the privacy concerns associated with cloud computing, including data leakage, unauthorized access, and privacy breaches. They highlight the need for encryption techniques that allow data to remain confidential even when processed in the cloud. Homomorphic encryption fundamentals: The book offers an in-depth exploration of homomorphic encryption techniques and their applications in cloud computing. Readers gain a solid understanding of fully homomorphic encryption (FHE) and its variations, including partially homomorphic encryption (PHE) and somewhat homomorphic encryption (SHE). Enhanced homomorphic encryption model: The authors present their enhanced homomorphic encryption model that incorporates innovative approaches to improve the efficiency, scalability, and security of homomorphic encryption. They discuss techniques such as ciphertext compression, parallelization, and optimization algorithms, ensuring the practicality of the encryption model for real-world cloud computing scenarios. Secure data processing in the cloud: The book explores how the enhanced homomorphic encryption model enables secure and privacy-preserving data processing in cloud environments. It covers various applications, including secure search, data mining, machine learning, and data analytics, demonstrating how encrypted data can be utilized without compromising privacy. Performance considerations and trade-offs: The authors address the performance challenges and trade-offs associated with homomorphic encryption. They discuss factors such as computation complexity, encryption overhead, and key management, providing insights into optimizing the performance of the enhanced homomorphic encryption model. Practical implementation and case studies: The book includes practical implementation considerations and case studies that showcase the deployment and effectiveness of the enhanced homomorphic encryption model in real-world cloud computing scenarios. The case studies cover domains such as healthcare, finance, and sensitive data sharing, illustrating the practicality and benefits of the proposed model. Throughout the book, the authors provide insights, practical examples, and algorithmic explanations to facilitate a deep understanding of the enhanced homomorphic encryption model. By leveraging the power of enhanced homomorphic encryption, "An Enhanced Homomorphic Encryption Model for Preserving Privacy in Clouds" equips its readers with the knowledge and tools necessary to protect sensitive data, preserve privacy, and enable secure cloud-based computations.

Download or read book An RNS Variant of Fully Homomorphic Encryption Over Integers written by Ahmed Zawia and published by . This book was released on 2017 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1978, the concept of privacy homomorphism was introduced by Rivest et al. Since then, homomorphic cryptosystems have gathered researchers' attention. Most of the early schemes were either partially homomorphic or not secure. The question then arose: was fully homomorphic encryption (FHE) scheme possible? And if so, would it have a practical worth? About thirty years later, Gentry, in his pioneering work, constructed the first fully homomorphic encryption scheme. The scheme's security was based on worst-case problems over ideal lattices along with a sparse subset-sum problem. A conceptually simpler scheme was proposed in 2010 by Dijk, Gentry, Halevi, and Vaikuntanathan (DGHV). The scheme is over integers instead of ideal lattices, and its security is based on the hardness of the approximate great common divisor problem (A-GCD). Afterward, different techniques were proposed to reduce ciphertext noise growth and to compress the public key size in order to enhance the practicality of FHE. Moreover, Coron et al. proposed and implemented a scale-invariant of the DGHV scheme (SI-DGHV) and a number of optimization techniques including modulus switching (MS). However, FHE over integers is still far from practical. To this end, this work proposes a residue number system (RNS) variant to FHE of SI-DGHV, which is also applicable to the DGHV scheme. The proposed scheme exploits properties of RNS to perform the required operations over relatively small moduli in parallel. The RNS variant enhances the timing of the original scheme. The variant scheme also improves the original scheme's security, since the former relies only on the hardness of the A-GCD problem and eliminates the need for the sparse-subset-sum problem used in the original MS procedure. Moreover, the public key elements that are required for the MS method is slightly reduced in the RNS variant. Finally, our analysis of the RNS variant reveals a different linear relationship between the noise and the multiplication depth.

Download or read book Feasibility of Partial Homomorphic Encryption to Secure Cloud Data written by Kevin E. Foltz and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Journey Towards Practical Fully Homomorphic Encryption written by Guillaume Bonnoron and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Craig Gentry presented in 2009 the first fully homomorphic encryption scheme. Since then, a tremendous effort has been, and still is, dedicated by the cryptographic community to make practical this new kind of cryptography. It is revolutionnary because it enables direct computation on encrypted data (without the need for the computing entity to decrypt them). Several trends have been developed in parallel, exploring on one side fully homomorphic encryption schemes, more versatile for applications but more costly in terms of time and memory. On the other side, the somewhat homomorphic encryption schemes are less flexible but more efficient. This thesis, achieved within the Chair of Naval Cyber Defence, contributes to these trends. We have endorsed different roles. First, an attacker position to assess the hardness of the security assumptions of the proposals. Then, we conducted a state-of-the-art of the most promising schemes in order to identify the best(s) depending on the use-cases and to give precise advice to appropriately set the parameters that drive security level, ciphertext sizes and computation costs. Last, we endorsed a designer role. We proposed a new powerful fully homomorphic encryption scheme together with its open-source implementation, available on github.

Download or read book Protecting Privacy through Homomorphic Encryption written by Kristin Lauter and published by Springer Nature. This book was released on 2022-01-04 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes recent inventions, provides guidelines and recommendations, and demonstrates many practical applications of homomorphic encryption. This collection of papers represents the combined wisdom of the community of leading experts on Homomorphic Encryption. In the past 3 years, a global community consisting of researchers in academia, industry, and government, has been working closely to standardize homomorphic encryption. This is the first publication of whitepapers created by these experts that comprehensively describes the scientific inventions, presents a concrete security analysis, and broadly discusses applicable use scenarios and markets. This book also features a collection of privacy-preserving machine learning applications powered by homomorphic encryption designed by groups of top graduate students worldwide at the Private AI Bootcamp hosted by Microsoft Research. The volume aims to connect non-expert readers with this important new cryptographic technology in an accessible and actionable way. Readers who have heard good things about homomorphic encryption but are not familiar with the details will find this book full of inspiration. Readers who have preconceived biases based on out-of-date knowledge will see the recent progress made by industrial and academic pioneers on optimizing and standardizing this technology. A clear picture of how homomorphic encryption works, how to use it to solve real-world problems, and how to efficiently strengthen privacy protection, will naturally become clear.

Download or read book A Fully Homomorphic Encryption Scheme written by Craig Gentry and published by . This book was released on 2009 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Evaluation of Somewhat Homomorphic Encryption Schemes written by Yang Yang (M. Eng.) and published by . This book was released on 2013 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homomorphic encryption allows one to outsource expensive computation to an untrusted party while keeping data in an encrypted form. While there has been a growing research focus in fully homomorphic encryption schemes, many real-world applications require a scheme to be only "somewhat" homomorphic. Somewhat homomorphic encryption (SWHE) schemes, which support a limited number of homomorphic operations before encountering a decryption failure, are much more efficient than their fully homomorphic counterparts. In this thesis, I present the empirical evaluation of two SWHE scheme prototypes built for IARPA's Security and Privacy Assurance Research (SPAR) program. The evaluation captures the exact performance costs of key generation, encryption, homomorphic evaluation, and decryption of each system using boolean circuits and inputs. In addition, I present the performance overhead of each system compared to a representative baseline, which evaluates the same set of circuits using unencrypted inputs.

Download or read book Improving the Efficiency of Homomorphic Encryption Schemes written by Yin Hu and published by . This book was released on 2013 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: In this dissertation, we explore different approaches to practical homomorphic encryption schemes. For partial homomorphic encryption schemes, we observe that the versatility is the main bottleneck. To solve this problem, we propose general approaches to improve versatility of them by either extending the range of supported circuits or extending the message space. These general approaches can be applied to a wide range of partial HE schemes and greatly increase the number of applications that they support. For fully homomorphic encryption schemes, the slow running speed and the large ciphertext are the main challenges. Therefore, we propose efficient implementations as well as methods to compress the ciphertext. In detail, the Gentry Halevi FHE scheme and the LTV FHE scheme are implemented and the resulting performance shows significant improvement over previous works. For ciphertext compression, the concept of scheme conversion is proposed. Given a scheme converter, we can convert between schemes with compact ciphertext for communication and homomorphic schemes for computation.

Download or read book Integer based Fully Homomorphic Encryption written by Michael Snook and published by . This book was released on 2011 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The concept of fully homomorphic encryption has been considered the 'holy grail' of cryptography since the discovery of secure public key cryptography in the 1970s. Fully homomorphic encryption allows arbitrary computation on encrypted data to be performed securely. Craig Gentry's new method of bootstrapping introduced in 2009 provides a technique for constructing fully homomorphic cryptosystems. In this paper we explore one such bootstrappable system based on simple integer arithmetic in a manner that someone without a high level of experience in homomorphic encryption can readily understand. Further, we present an implementation of the system as well as a lattice-based attack. We present performance results of our implementation under various parameter choices and the resistance of the system to the lattice-based attack under those parameters. Unfortunately, while the system is very interesting from a theoretical point of view, the results show that it is still not feasible for use."--Abstract.

Download or read book Homomorphic Encryption for Financial Cryptography written by V. Seethalakshmi and published by Springer Nature. This book was released on 2023-08-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers insights on efficient utilization of homomorphic encryption (HE) for financial cryptography in confidentiality, phishing, anonymity, object and user identity protection. Homomorphic encryption has the potential to be a game-changer for the industry and cloud industry. HE method in cloud computing is presented in this book as a solution to increase the security of the data. Moreover, this book provides details about the set of fundamentals of cryptography, classical HE systems, properties of HE schemes, challenges and opportunities in HE methods, key infrastructure, problem of key management, key sharing, current algorithmic strategies and its limitation in implementation for solving complex problems in financial cryptography, application in blockchain, multivariate cryptosystems based on quadratic equations to avoid the explosion of the coefficients.

Download or read book Security and Trust Management written by Jorge Cuellar and published by Springer. This book was released on 2011-10-07 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Workshop on Security and Trust Management, STM 2010, held in Athens, Greece, in September 2010. The 17 revised full papers presented were carefully reviewed and selected from 40 submissions. Focusing on high-quality original unpublished research, case studies, and implementation experiences, STM 2010 encouraged submissions discussing the application and deployment of security technologies in practice.