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In wireless sensor networks, data aggregation technologies are known as a suitable solution to reduce energy consumption. In addition, due to wireless communications, wireless sensor networks are subject to many attacks. Therefore, it is very important to provide data security in the data aggregation process. In this paper, in order to protect data privacy and verify data integrity, moreover, balance the energy consumption and security during the data aggregation, we present a privacy and integrity\u2013preserving data aggregation scheme for wireless sensor networks based on digital twins technology and homomorphic fingerprinting (HFPIDA). The HFPIDA adopts privacy function to protect data privacy and adopts homomorphic fingerprinting technology to verify the aggregation data integrity. Security analysis shows that the HFPIDA can effectively preserve data privacy and verify data integrity. Simulation results show that the HFPIDA requires less communication and energy overheads, and can achieve higher aggregation accuracy.<\/jats:p>","DOI":"10.1186\/s13677-023-00522-7","type":"journal-article","created":{"date-parts":[[2023,10,7]],"date-time":"2023-10-07T13:01:51Z","timestamp":1696683711000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Privacy and integrity-preserving data aggregation scheme for wireless sensor networks digital twins"],"prefix":"10.1186","volume":"12","author":[{"given":"Zhiming","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"Yang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fuying","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ping","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,10,7]]},"reference":[{"key":"522_CR1","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1016\/j.jnca.2017.12.022","volume":"106","author":"L Muduli","year":"2018","unstructured":"Muduli L, Mishra DP, Jana PK (2018) Application of wireless sensor network for environmental monitoring in underground coal mines: A systematic review. 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