Homomorphic Encryption — Theory and Application

Sen, Jaydip

doi:10.5772/56687

Cited by 39 publications

(15 citation statements)

References 121 publications

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“…If the plaintext space P is an additive group, the homomorphic cryptosystem is known as additive homomorphism. Likewise, if the plaintext space is a multiplicative group, that homomorphic cryptosystem is considered as multiplicative homomorphism [29,41].…”

Section: Definition Of a Homomorphic Encryption (He) Scheme Andhomomomentioning

confidence: 99%

“…Evidently, the limitation on the range of operations has limited PHE schemes from being accepted as solutions for Big Data outsourced computation [29,41]. A few researchers have attempted to improve the versatility of existing PHE schemes.…”

Section: Partial Homomorphic Encryption (Phe)mentioning

confidence: 99%

“…To overcome these problems, this paper suggests homomorphic encryption as the mechanism to protect confidential data, while allowing corresponding third parties to perform computation on encrypted data without having to decrypt it. The aim of homomorphic encryption is to ensure data privacy during communication, storage, or when in use by mechanisms similar to conventional cryptography, but with added capabilities of computing in relation to encrypted data [28][29]. Thus, homomorphic encryption makes Big Data computation outsourcing possible.…”

mentioning

confidence: 99%

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A Survey of Homomorphic Encryption for Outsourced Big Data Computation

Fun¹,

Samsudin²

2016

KSII TIIS

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With traditional data storage solutions becoming too expensive and cumbersome to support Big Data processing, enterprises are now starting to outsource their data requirements to third parties, such as cloud service providers. However, this outsourced initiative introduces a number of security and privacy concerns. In this paper, homomorphic encryption is suggested as a mechanism to protect the confidentiality and privacy of outsourced data, while at the same time allowing third parties to perform computation on encrypted data. This paper also discusses the challenges of Big Data processing protection and highlights its differences from traditional data protection. Existing works on homomorphic encryption are technically reviewed and compared in terms of their encryption scheme, homomorphism classification, algorithm design, noise management, and security assumption. Finally, this paper discusses the current implementation, challenges, and future direction towards a practical homomorphic encryption scheme for securing outsourced Big Data computation.

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Section: Definition Of a Homomorphic Encryption (He) Scheme Andhomomomentioning

confidence: 99%

Section: Partial Homomorphic Encryption (Phe)mentioning

confidence: 99%

mentioning

confidence: 99%

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A Survey of Homomorphic Encryption for Outsourced Big Data Computation

Fun¹,

Samsudin²

2016

KSII TIIS

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“…For instant, having any knowledge about the ciphertext can threaten the security of the scheme. Moreover, most of the schemes where proven to be secure under a model called random oracle model; which is an idealized model that tests the schemes under unrealistic assumptions, and so doesn't fully assess the scheme's practicality [28]. Paillier scheme has proven security against indistinguishable chosen plain text attack (IND-CPA).…”

Section: Paillier Security Analysismentioning

confidence: 99%

“…Any Homomorphic schemes consists of four algorithms. Key generation, encryption, decryption and homomorphic property [28]. Homomorphic property can be divided into two types, additive and multiplicative.…”

Section: Conventional Data Integrity Using Homomorphic Encryption Algmentioning

confidence: 99%

A Modified Cloud-Based Cryptographic Agent for Cloud Data Integrity

Hathout

Ghoniemy²,

Ibrahim³

2017

Int. J. Interact. Mob. Technol.

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Abstract-In spite of all the advantages delivered by cloud computing, several challenges are hindering the migration of customer software and data into the cloud. On top of the list is the security and privacy concerns arising from the storage and processing of sensitive data on remote machines that are not owned, or even managed by the customers themselves. In this paper, initially a homomorphic encryption-based Cryptographic Agent is proposed. The proposed Cryptographic Agent is based on Paillier scheme, and is supported by user-configurable software protection and data privacy categorization agents, as well as set of accountable auditing services required to achieve legal compliance and certification. This scheme was tested using different text documents with different sizes. Testing results showed that as the size of the document increases, the size of the generated key increases dramatically causing a major problem in regards to the processing time and the file size especially for large documents. This leaded us to the second part of this research which is: a modified security architecture that adds two major autonomic security detective agents to the multi-agent architecture of cloud data storage. In this paper, we focus on the first agent namely (Automated Master Agent, AMA) that is added to the Multi Agent System Architecture (MASA) layer (cloud client-side) by which any changes happen in the document are mapped in a QR code encoded key print (KP). Experimental results after integrating these agents showed a 100% alternation detection accuracy and a superiority in extracting the KP of large and very large size documents which exceeds the currently available products and leverage the tamper-proof capabilities of cryptographic coprocessors to establish a secure execution domain in the computing cloud that is physically and logically protected from unauthorized access.Keywords-cloud data storage and processing security, document key print, homomorphic encryption, QR Codes. 6

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A 2D Cryptographic Hash Function Incorporating Homomorphic Encryption for Secure Digital Signatures

Wali,

Ravichandran,

Das

2024

Advanced Materials

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User authentication is one of the most critical aspects within any information exchange system and encompasses the process of verifying the identity of individuals seeking access to sensitive information. Conventionally, this verification process has relied on establishing robust and secure digital signature protocols employing asymmetric encryption techniques which effectively address the vulnerabilities inherent to symmetric encryption methods that necessitate sharing and reuse of the secret key. In this article, we present a comprehensive hardware‐based digital signature platform constructed using integrated circuits (ICs) with atomically thin two‐dimensional (2D) monolayer molybdenum disulfide (MoS2) memtransistors. First, we demonstrate generation of secure and robust cryptographic keys by exploiting the inherent stochasticity of carrier trapping and detrapping at the 2D/oxide interface trap sites as the source of randomness. Subsequently, we leverage the capability of manipulating the functionality of logical NOR through localized programming of MoS2 memtransistor to create a secure one‐way hash function which when homomorphically operated upon with NAND, XOR, OR, NOT, and AND logic circuits generate distinct and secure signatures. These signatures are subsequently decrypted to verify the authenticity of the receiver while ensuring complete preservation of data integrity and confidentiality as the underlying information is never revealed. Finally, we provide an insight on the advantages of implementing NOR based hashing techniques in comparison to the conventional XOR based encryption method. Our demonstration highlights the potential of 2D‐based ICs in advancing the development of critical information security primitives.This article is protected by copyright. All rights reserved

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Homomorphic Encryption — Theory and Application

Cited by 39 publications

References 121 publications

A Survey of Homomorphic Encryption for Outsourced Big Data Computation

A Survey of Homomorphic Encryption for Outsourced Big Data Computation

A Modified Cloud-Based Cryptographic Agent for Cloud Data Integrity

A 2D Cryptographic Hash Function Incorporating Homomorphic Encryption for Secure Digital Signatures

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