Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System

In recent years, deploying Internet of Things (IoT) in electronic healthcare systems (EHS) has made great progress in healthcare detection. It is extremely important to reduce the cost of communication and ensure the authenticity and integrity of data. A linearly homomorphic signature scheme can sol...

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Main Authors: Yanyan Gu, Limin Shen, Futai Zhang, Jinbo Xiong
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/15/2588
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author Yanyan Gu
Limin Shen
Futai Zhang
Jinbo Xiong
author_facet Yanyan Gu
Limin Shen
Futai Zhang
Jinbo Xiong
author_sort Yanyan Gu
collection DOAJ
description In recent years, deploying Internet of Things (IoT) in electronic healthcare systems (EHS) has made great progress in healthcare detection. It is extremely important to reduce the cost of communication and ensure the authenticity and integrity of data. A linearly homomorphic signature scheme can solve the above problems. However, when the scale of EHS is too large, the transmission, storage and verification of signatures need a high cost. An aggregate signature can combine many signatures generated by many different users into a short one. Therefore, only one aggregate signature needs to be processed during verification, transmission and storage. Combining the advantages of aggregate signature and linearly homomorphic signature, this paper proposes an aggregate signature scheme based on a linearly homomorphic signature for EHS, which has both linear homomorphism and aggregation, and realizes double data compression. Moreover, our scheme can resist a potential real attack, named a coalition attack. The security of this scheme is rigorously demonstrated based on the computational Diffie–Hellman assumption in the random oracle model.
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spelling doaj.art-b5981fc23d0745f7826b43ec9f81177d2023-12-03T12:47:19ZengMDPI AGMathematics2227-73902022-07-011015258810.3390/math10152588Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare SystemYanyan Gu0Limin Shen1Futai Zhang2Jinbo Xiong3School of Computer and Electronic Information, Nanjing Normal University, Nanjing 210023, ChinaSchool of Computer and Electronic Information, Nanjing Normal University, Nanjing 210023, ChinaCollege of Computer and Cyber Security, Fujian Normal University, Fuzhou 350117, ChinaCollege of Computer and Cyber Security, Fujian Normal University, Fuzhou 350117, ChinaIn recent years, deploying Internet of Things (IoT) in electronic healthcare systems (EHS) has made great progress in healthcare detection. It is extremely important to reduce the cost of communication and ensure the authenticity and integrity of data. A linearly homomorphic signature scheme can solve the above problems. However, when the scale of EHS is too large, the transmission, storage and verification of signatures need a high cost. An aggregate signature can combine many signatures generated by many different users into a short one. Therefore, only one aggregate signature needs to be processed during verification, transmission and storage. Combining the advantages of aggregate signature and linearly homomorphic signature, this paper proposes an aggregate signature scheme based on a linearly homomorphic signature for EHS, which has both linear homomorphism and aggregation, and realizes double data compression. Moreover, our scheme can resist a potential real attack, named a coalition attack. The security of this scheme is rigorously demonstrated based on the computational Diffie–Hellman assumption in the random oracle model.https://www.mdpi.com/2227-7390/10/15/2588homomorphic signatureaggregate signaturelinearly homomorphic aggregate signatureelectronic healthcare system
spellingShingle Yanyan Gu
Limin Shen
Futai Zhang
Jinbo Xiong
Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System
Mathematics
homomorphic signature
aggregate signature
linearly homomorphic aggregate signature
electronic healthcare system
title Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System
title_full Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System
title_fullStr Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System
title_full_unstemmed Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System
title_short Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System
title_sort provably secure linearly homomorphic aggregate signature scheme for electronic healthcare system
topic homomorphic signature
aggregate signature
linearly homomorphic aggregate signature
electronic healthcare system
url https://www.mdpi.com/2227-7390/10/15/2588
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