{"id":340790,"date":"2016-12-22T20:27:03","date_gmt":"2016-12-23T04:27:03","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/?post_type=msr-research-item&p=340790"},"modified":"2018-10-16T20:43:29","modified_gmt":"2018-10-17T03:43:29","slug":"multi-input-functional-encryption-unbounded-message-security","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/multi-input-functional-encryption-unbounded-message-security\/","title":{"rendered":"Multi-input Functional Encryption with Unbounded-Message Security"},"content":{"rendered":"

Multi-input functional encryption (MIFE) was introduced by Goldwasser et al.<\/em> (EUROCRYPT 2014) as a compelling extension of functional encryption. In MIFE, a receiver is able to compute a joint function of multiple, independently encrypted plaintexts. Goldwasser et\u00a0al.<\/em> (EUROCRYPT 2014) show various applications of MIFE to running SQL queries over encrypted databases, computing over encrypted data streams, etc.<\/p>\n

The previous constructions of MIFE due to Goldwasser et al.<\/em> (EUROCRYPT 2014) based on indistinguishability obfuscation had a major shortcoming: it could only support encrypting an a priori bounded<\/em> number of message. Once that bound is exceeded, security is no longer guaranteed to hold. In addition, it could only support selective-security<\/em>, meaning that the challenge messages and the set of \u201ccorrupted\u201d encryption keys had to be declared by the adversary up-front.<\/p>\n

In this work, we show how to remove these restrictions by relying instead on sub-exponentially secure<\/em> indistinguishability obfuscation. This is done by carefully adapting an alternative MIFE scheme of Goldwasser et al.<\/em> that previously overcame these shortcomings (except for selective security wrt.\u00a0the set of \u201ccorrupted\u201d encryption keys) by relying instead on differing-inputs obfuscation, which is now seen as an implausible assumption. Our techniques are rather generic, and we hope they are useful in converting other constructions using differing-inputs obfuscation to ones using sub-exponentially secure indistinguishability obfuscation instead.<\/p>\n","protected":false},"excerpt":{"rendered":"

Multi-input functional encryption (MIFE) was introduced by Goldwasser et al. (EUROCRYPT 2014) as a compelling extension of functional encryption. In MIFE, a receiver is able to compute a joint function of multiple, independently encrypted plaintexts. Goldwasser et\u00a0al. (EUROCRYPT 2014) show various applications of MIFE to running SQL queries over encrypted databases, computing over encrypted data […]<\/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":"Springer Berlin Heidelberg","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"Advances in Cryptology \u2013 ASIACRYPT 2016","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"531-556","msr_page_range_start":"531","msr_page_range_end":"556","msr_series":"","msr_volume":"10032","msr_copyright":"","msr_conference_name":"22nd International Conference on the Theory and Application of Cryptology and Information Security, Hanoi, Vietnam, December 4-8, 2016, Proceedings, Part 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