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Partially Homomorphic Encryption


Partially Homomorphic Encryption
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Partially Homomorphic Encryption


Partially Homomorphic Encryption
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Author : Çetin Kaya Koç
language : en
Publisher: Springer Nature
Release Date : 2021-09-29

Partially Homomorphic Encryption written by Çetin Kaya Koç and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-29 with Computers categories.


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.



A Study Of Partially Homomorphic Encryption Schemes


A Study Of Partially Homomorphic Encryption Schemes
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Author : Shifat P. Mithila
language : en
Publisher:
Release Date : 2017

A Study Of Partially Homomorphic Encryption Schemes written by Shifat P. Mithila and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Computer network architectures categories.


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.



Partially Homomorphic Encryption Scheme For Real Time Image Stream


Partially Homomorphic Encryption Scheme For Real Time Image Stream
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Author : Angel Ivan Vazquez-Salazar
language : en
Publisher:
Release Date : 2020

Partially Homomorphic Encryption Scheme For Real Time Image Stream written by Angel Ivan Vazquez-Salazar 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.


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.



Fully Homomorphic Encryption In Real World Applications


Fully Homomorphic Encryption In Real World Applications
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Author : Ayantika Chatterjee
language : en
Publisher: Springer
Release Date : 2019-03-29

Fully Homomorphic Encryption In Real World Applications written by Ayantika Chatterjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-29 with Technology & Engineering categories.


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.



An Enhanced Homomorphic Encryption Model For Preserving Privacy In Clouds


An Enhanced Homomorphic Encryption Model For Preserving Privacy In Clouds
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Author : Sonam Mittal
language : en
Publisher:
Release Date : 2023-05-25

An Enhanced Homomorphic Encryption Model For Preserving Privacy In Clouds written by Sonam Mittal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-25 with categories.


"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.



Feasibility Of Partial Homomorphic Encryption To Secure Cloud Data


Feasibility Of Partial Homomorphic Encryption To Secure Cloud Data
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Author : Kevin E. Foltz
language : en
Publisher:
Release Date : 2022

Feasibility Of Partial Homomorphic Encryption To Secure Cloud Data written by Kevin E. Foltz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.




An Rns Variant Of Fully Homomorphic Encryption Over Integers


An Rns Variant Of Fully Homomorphic Encryption Over Integers
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Author : Ahmed Zawia
language : en
Publisher:
Release Date : 2017

An Rns Variant Of Fully Homomorphic Encryption Over Integers written by Ahmed Zawia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Cryptography categories.


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.



Homomorphic Encryption And Applications


Homomorphic Encryption And Applications
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Author : Xun Yi
language : en
Publisher: Springer
Release Date : 2014-11-06

Homomorphic Encryption And Applications written by Xun Yi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-06 with Computers categories.


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.



Protocol Design For Privacy Preserving Data Mining Using Partial Homomorphic Encryption


Protocol Design For Privacy Preserving Data Mining Using Partial Homomorphic Encryption
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Author : Yin-Ming Chang
language : en
Publisher:
Release Date : 2013

Protocol Design For Privacy Preserving Data Mining Using Partial Homomorphic Encryption written by Yin-Ming Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.




Evaluation Of Somewhat Homomorphic Encryption Schemes


Evaluation Of Somewhat Homomorphic Encryption Schemes
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Author : Yang Yang (M. Eng.)
language : en
Publisher:
Release Date : 2013

Evaluation Of Somewhat Homomorphic Encryption Schemes written by Yang Yang (M. Eng.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.


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.