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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Fast Additive Partially Homomorphic Encryption From the Approximate Common Divisor Problem

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Author(s):
Cominetti, Eduardo Lopes [1] ; Simplicio, Marcos A. [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Escola Politecn, BR-05508010 Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: IEEE Transactions on Information Forensics and Security; v. 15, p. 2988-2998, 2020.
Web of Science Citations: 0
Abstract

This paper presents two efficient partially homomorphic encryption schemes built upon the approximate common divisor problem, believed to be resistant to quantum computer attacks. Both proposals, named FAHE1 and FAHE2, are additively homomorphic and have a symmetric nature, meaning that they are useful in scenarios where encryption and decryption are performed by the same entity. This is the case, for example, of encrypted databases stored in a public cloud. We also evaluate the performance of our proposals in comparison with two alternatives displaying additive homomorphism: the traditional Paillier asymmetric cryptosystem, which is not quantum-resistant; and the XPIR algorithm, which is both quantum-resistant and symmetric. Our experimental results show that both solutions provide considerable speed-ups when compared to Paillier. Namely, encryption and decryption with FAHE1 are, respectively, 120 and 25 times faster than Paillier's, while for FAHE2 both operations run more than 1000 times faster. In addition, when compared with a highly optimized XPIR code, our reference implementation remains quite competitive while producing smaller ciphertexts. (AU)

FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
Grantee:Marcelo Firer
Support Opportunities: Research Projects - Thematic Grants