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In this paper, we present two PAKE protocols from lattices in the two-party and three-party settings, respectively, which can resist quantum attacks and achieve mutual authentication. The protocols in this paper achieve two rounds of communication by carefully utilizing the splittable properties of the underlying primitive, a CCA (Chosen-Ciphertext Attack)-secure public key encryption (PKE) scheme with associated nonadaptive approximate smooth projection hash (NA-ASPH) system. Compared with other related protocols, the proposed two-round PAKE protocols have relatively less communication and computation overhead. In particular, the two-round 3PAKE is more practical in large-scale communication systems.<\/jats:p>","DOI":"10.1155\/2020\/8893628","type":"journal-article","created":{"date-parts":[[2020,12,15]],"date-time":"2020-12-15T02:05:07Z","timestamp":1607997907000},"page":"1-13","source":"Crossref","is-referenced-by-count":5,"title":["Two-Round Password-Based Authenticated Key Exchange from Lattices"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6856-6030","authenticated-orcid":true,"given":"Anqi","family":"Yin","sequence":"first","affiliation":[{"name":"Zhengzhou Institute of Information Science and Technology, Henan 450001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9905-9111","authenticated-orcid":true,"given":"Yuanbo","family":"Guo","sequence":"additional","affiliation":[{"name":"Zhengzhou Institute of Information Science and Technology, Henan 450001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3672-1796","authenticated-orcid":true,"given":"Yuanming","family":"Song","sequence":"additional","affiliation":[{"name":"School of EECS, Peking University, Beijing 100871, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2462-004X","authenticated-orcid":true,"given":"Tongzhou","family":"Qu","sequence":"additional","affiliation":[{"name":"Zhengzhou Institute of Information Science and Technology, Henan 450001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0326-8737","authenticated-orcid":true,"given":"Chen","family":"Fang","sequence":"additional","affiliation":[{"name":"Zhengzhou Institute of Information Science and Technology, Henan 450001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"first-page":"37","article-title":"Two-Round PAKE from Approximate SPH and Instantiations from Lattices","author":"J. 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