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Searching keywords over encrypted data without loss of data confidentiality is an important issue. In 2004, Boneh et al. proposed the first public-key searchable encryption scheme which allows users to search by the private key. However, most existing public-key searchable encryption schemes are vulnerable to keyword guessing attack and can not satisfy multi-ciphertext indistinguishability. In this paper, we construct a secure designated server public-key searchable encryption based on Diffie-Hellman problem. Our security analysis shows that our proposed scheme can resist against keyword guessing attack and provide multi-ciphertext indistinguishability for any adversity. Furthermore, the proposed scheme can achieve multi-trapdoor privacy for external attackers. Moreover, the simulation results between our scheme and previous schemes demonstrate our new scheme is suitable for practical application.<\/jats:p>","DOI":"10.1186\/s13677-022-00287-5","type":"journal-article","created":{"date-parts":[[2022,6,3]],"date-time":"2022-06-03T13:03:37Z","timestamp":1654261417000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["An improved secure designated server public key searchable encryption scheme with multi-ciphertext indistinguishability"],"prefix":"10.1186","volume":"11","author":[{"given":"Junling","family":"Guo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2094-5629","authenticated-orcid":false,"given":"Lidong","family":"Han","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guang","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuejiao","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chengliang","family":"Tian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,6,3]]},"reference":[{"key":"287_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-24676-3_30","volume-title":"Public Key Encryption with Keyword Search","author":"D Boneh","year":"2004","unstructured":"Boneh D, Di Crescenzo G, Ostrovsky R, Persiano G (2004) Public Key Encryption with Keyword Search. 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