A Secure and Lightweight Multi-Party Private Intersection-Sum Scheme over a Symmetric Cryptosystem

A private intersection-sum (PIS) scheme considers the private computing problem of how parties jointly compute the sum of associated values in the set intersection. In scenarios such as electronic voting, corporate credit investigation, and ad conversions, private data are held by different parties....

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Main Authors: Junwei Zhang, Xin Kang, Yang Liu, Huawei Ma, Teng Li, Zhuo Ma, Sergey Gataullin
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/2/319
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author Junwei Zhang
Xin Kang
Yang Liu
Huawei Ma
Teng Li
Zhuo Ma
Sergey Gataullin
author_facet Junwei Zhang
Xin Kang
Yang Liu
Huawei Ma
Teng Li
Zhuo Ma
Sergey Gataullin
author_sort Junwei Zhang
collection DOAJ
description A private intersection-sum (PIS) scheme considers the private computing problem of how parties jointly compute the sum of associated values in the set intersection. In scenarios such as electronic voting, corporate credit investigation, and ad conversions, private data are held by different parties. However, despite two-party PIS being well-developed in many previous works, its extended version, multi-party PIS, has rarely been discussed thus far. This is because, depending on the existing works, directly initiating multiple two-party PIS instances is considered to be a straightforward way to achieve multi-party PIS; however, by using this approach, the intersection-sum results of the two parties and the data only belonging to the two-party intersection will be leaked. Therefore, achieving secure multi-party PIS is still a challenge. In this paper, we propose a secure and lightweight multi-party private intersection-sum scheme called SLMP-PIS. We maintain data privacy based on zero sharing and oblivious pseudorandom functions to compute the multi-party intersection and consider the privacy of associated values using arithmetic sharing and symmetric encryption. The security analysis results show that our protocol is proven to be secure in the standard semi-honest security model. In addition, the experiment results demonstrate that our scheme is efficient and feasible in practice. Specifically, when the number of participants is five, the efficiency can be increased by 22.98%.
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spelling doaj.art-b01a93a9488c4a0d8650389c467c64722023-11-16T23:31:44ZengMDPI AGSymmetry2073-89942023-01-0115231910.3390/sym15020319A Secure and Lightweight Multi-Party Private Intersection-Sum Scheme over a Symmetric CryptosystemJunwei Zhang0Xin Kang1Yang Liu2Huawei Ma3Teng Li4Zhuo Ma5Sergey Gataullin6School of Cyber Engineering, Xidian University, Xi’an 710071, ChinaSchool of Cyber Engineering, Xidian University, Xi’an 710071, ChinaSchool of Cyber Engineering, Xidian University, Xi’an 710071, ChinaInstitute of Artificial Intelligence and Blockchain, Guangzhou University, Guangzhou 510006, ChinaSchool of Cyber Engineering, Xidian University, Xi’an 710071, ChinaSchool of Cyber Engineering, Xidian University, Xi’an 710071, ChinaFaculty of Digital Economy and Mass Communications, Moscow Technical University of Communications and Informatics, 123423 Moscow, RussiaA private intersection-sum (PIS) scheme considers the private computing problem of how parties jointly compute the sum of associated values in the set intersection. In scenarios such as electronic voting, corporate credit investigation, and ad conversions, private data are held by different parties. However, despite two-party PIS being well-developed in many previous works, its extended version, multi-party PIS, has rarely been discussed thus far. This is because, depending on the existing works, directly initiating multiple two-party PIS instances is considered to be a straightforward way to achieve multi-party PIS; however, by using this approach, the intersection-sum results of the two parties and the data only belonging to the two-party intersection will be leaked. Therefore, achieving secure multi-party PIS is still a challenge. In this paper, we propose a secure and lightweight multi-party private intersection-sum scheme called SLMP-PIS. We maintain data privacy based on zero sharing and oblivious pseudorandom functions to compute the multi-party intersection and consider the privacy of associated values using arithmetic sharing and symmetric encryption. The security analysis results show that our protocol is proven to be secure in the standard semi-honest security model. In addition, the experiment results demonstrate that our scheme is efficient and feasible in practice. Specifically, when the number of participants is five, the efficiency can be increased by 22.98%.https://www.mdpi.com/2073-8994/15/2/319private intersection-sumsecure computationcloud computing
spellingShingle Junwei Zhang
Xin Kang
Yang Liu
Huawei Ma
Teng Li
Zhuo Ma
Sergey Gataullin
A Secure and Lightweight Multi-Party Private Intersection-Sum Scheme over a Symmetric Cryptosystem
Symmetry
private intersection-sum
secure computation
cloud computing
title A Secure and Lightweight Multi-Party Private Intersection-Sum Scheme over a Symmetric Cryptosystem
title_full A Secure and Lightweight Multi-Party Private Intersection-Sum Scheme over a Symmetric Cryptosystem
title_fullStr A Secure and Lightweight Multi-Party Private Intersection-Sum Scheme over a Symmetric Cryptosystem
title_full_unstemmed A Secure and Lightweight Multi-Party Private Intersection-Sum Scheme over a Symmetric Cryptosystem
title_short A Secure and Lightweight Multi-Party Private Intersection-Sum Scheme over a Symmetric Cryptosystem
title_sort secure and lightweight multi party private intersection sum scheme over a symmetric cryptosystem
topic private intersection-sum
secure computation
cloud computing
url https://www.mdpi.com/2073-8994/15/2/319
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