{"id":548802,"date":"2018-11-07T14:38:06","date_gmt":"2018-11-07T22:38:06","guid":{"rendered":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/?post_type=msr-research-item&p=548802"},"modified":"2020-12-17T11:47:27","modified_gmt":"2020-12-17T19:47:27","slug":"2-server-pir-with-sub-polynomial-communication","status":"publish","type":"msr-research-item","link":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/publication\/2-server-pir-with-sub-polynomial-communication\/","title":{"rendered":"2-Server PIR with sub-polynomial communication"},"content":{"rendered":"

A 2-server Private Information Retrieval (PIR) scheme allows a user to retrieve the\u00a0<\/span>i<\/span>th bit of an\u00a0<\/span>n<\/span>-bit database replicated among two servers (which do not communicate) while not revealing any information about\u00a0<\/span>i<\/span>\u00a0to either server. In this work we construct a 1-round 2-server PIR with total communication cost\u00a0<\/span>n^{O({\\sqrt{\\log\\log n\/\\log n}})}<\/span><\/span>. This improves over the currently known 2-server protocols which require\u00a0<\/span>O(n^{1\/3})\u00a0<\/span><\/span>communication and matches the communication cost of known 3-server PIR schemes. Our improvement comes from reducing the number of servers in existing protocols, based on Matching Vector Codes, from 3 or 4 servers to 2. This is achieved by viewing these protocols in an algebraic way (using polynomial interpolation) and extending them using partial derivatives.<\/span><\/p>\n

Talk at DIMACS workshop (Rutgers University) (opens in new tab)<\/span><\/a> and Zeev’s TCS+ talk (opens in new tab)<\/span><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

A 2-server Private Information Retrieval (PIR) scheme allows a user to retrieve the\u00a0ith bit of an\u00a0n-bit database replicated among two servers (which do not communicate) while not revealing any information about\u00a0i\u00a0to either server. In this work we construct a 1-round 2-server PIR with total communication cost\u00a0n^{O({\\sqrt{\\log\\log n\/\\log n}})}. This improves over the currently known 2-server […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"4","msr_journal":"Journal of the ACM 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