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According to the security analysis results, this healthcare cloud system can effectively resist common attacks, including external attacks, internal attacks, collaborative attacks and equation-based attacks. Furthermore, the overall computational complexity of establishing and updating the polynomials is O(<italic>n<\/italic>*<italic>m<\/italic>* (log <italic>m<\/italic>)<sup>2<\/sup>), which is a promising result, where <italic>m<\/italic> denotes the degree of $ polynomial~G\\left(x, y\\right) $ and <italic>n<\/italic> denotes the number of secure users in the hierarchy.<\/p>\n\t\t<\/abstract><\/jats:p>","DOI":"10.3934\/mbe.2022427","type":"journal-article","created":{"date-parts":[[2022,6,23]],"date-time":"2022-06-23T06:32:11Z","timestamp":1655965931000},"page":"9200-9219","source":"Crossref","is-referenced-by-count":0,"title":["Novel Lagrange interpolation polynomials for dynamic access control in a healthcare cloud system"],"prefix":"10.3934","volume":"19","author":[{"given":"Te-Wei","family":"Chiang","sequence":"first","affiliation":[{"name":"Department of Information Management, National Taiwan University, Taipei City 106, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dai-Lun","family":"Chiang","sequence":"additional","affiliation":[{"name":"Financial Technology Applications Program, Ming Chuan University, Taoyuan City 330, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tzer-Shyong","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Information Management, Tunghai University, Taichung City 407, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frank Yeong-Sung","family":"Lin","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Information Engineering, National Taipei University, Sanxia District, New Taipei City 237, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Victor R. 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