Cryptology ePrint Archive: Report 2020/447

Computing Blindfolded on Data Homomorphically Encrypted under Multiple Keys: An Extended Survey

Asma Aloufi and Peizhao Hu and Yongsoo Song and and Kristin Lauter

Abstract: New cryptographic techniques such as homomorphic encryption (HE) allow computations to be outsourced to and evaluated blindfolded in a resourceful cloud. These computations often require private data owned by multiple participants, engaging in joint evaluation of some functions. For example, Genome-Wide Association Study (GWAS) is becoming feasible because of recent proliferation of genome sequencing technology. Due to the sensitivity of genomic data, these data should be encrypted using different keys. However, supporting computation on ciphertexts encrypted under multiple keys is a non-trivial task. In this paper, we present a comprehensive survey on different state-of-the-art cryptographic techniques and schemes that are commonly used. We review techniques and schemes including Attribute-Based Encryption (ABE), Proxy Re-Encryption (PRE), Threshold Homomorphic Encryption (ThHE), and Multi-Key Homomorphic Encryption (MKHE). We analyze them based on different system and security models and examine their complexities. We share lessons learned and draw observations for designing better schemes with reduced overheads.

Category / Keywords: cryptographic protocols / Homomorphic Encryption, Privacy, Security, Cloud Computing, Public-key Cryptography, Distributed Cryptography, Threshold Cryptography

Date: received 17 Apr 2020, last revised 17 Apr 2020, withdrawn 8 May 2020

Contact author: ama9000 at rit edu,Peizhao Hu@rit edu

Available format(s): (-- withdrawn --)

Note: (Author's version). This paper is an early extended draft of the survey that is being submitted to ACM CSUR and has been uploaded to Cryptology ePrint Archive for feedback from stakeholders.

Version: 20200508:113043 (All versions of this report)

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