{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/121688"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/121688","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Thresholdizing lattice based encryption schemes","abstract":"In this thesis, we examine a variety of constructions based on secret sharing techniques applied on lattice-based cryptographic primitives constructed from the learning with erros (LWE) assumption. Using secret sharing techniques from [BGG⁺17], we show how to construct paradigms of threshold multi-key fully homomorphic encryption and predicate encryption. Through multi-key fully homomorphic encryption [MW16] and threshold fully homomorphic encryption, we can construct a low-round multi party computation (MPC) scheme with guaranteed output delivery, assuming honest majority in the semi-honest and malicious settings. Applying the secret sharing scheme on predicate encryption constructions from LWE [GVW15], we can obtain a distributed predicate encryption scheme.","abstract_html":"In this thesis, we examine a variety of constructions based on secret sharing techniques applied on lattice-based cryptographic primitives constructed from the learning with erros (LWE) assumption. Using secret sharing techniques from [BGG⁺17], we show how to construct paradigms of threshold multi-key fully homomorphic encryption and predicate encryption. Through multi-key fully homomorphic encryption [MW16] and threshold fully homomorphic encryption, we can construct a low-round multi party computation (MPC) scheme with guaranteed output delivery, assuming honest majority in the semi-honest and malicious settings. Applying the secret sharing scheme on predicate encryption constructions from LWE [GVW15], we can obtain a distributed predicate encryption scheme.","abstract_has_math":false,"creators":["Xia, Andrew."],"institution":"Massachusetts Institute of Technology","degree_name":"Master","degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science","school":null,"contributors":[],"advisors":["Yael Tauman Kalai."],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019","date_published":"2019","updated_at":"2026-07-22T22:21:24Z","subjects":["Electrical Engineering and Computer Science."],"languages":["eng"],"rights":["MIT theses are protected by copyright. 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Applying the secret sharing scheme on predicate encryption constructions from LWE [GVW15], we can obtain a distributed predicate encryption scheme."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["M. Eng."]},{"key":"dc:title","label":"Title","values":["Thresholdizing lattice based encryption schemes"]}]}],"canonical_facts":{"dc:contributor.advisor":["Yael Tauman Kalai."],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science","EECS"],"dc:contributor.other":["Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science."],"dc:creator":["Xia, Andrew."],"dc:date.accessioned":["2019-07-15T20:34:21Z"],"dc:date.available":["2019-07-15T20:34:21Z"],"dc:date.issued":["2019"],"dc:description":["This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.","Thesis: M. 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