{"id":215173,"date":"2013-03-01T00:00:00","date_gmt":"2013-03-01T00:00:00","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/msr-research-item\/succinct-malleable-nizks-and-an-application-to-compact-shuffles\/"},"modified":"2018-10-16T21:37:08","modified_gmt":"2018-10-17T04:37:08","slug":"succinct-malleable-nizks-and-an-application-to-compact-shuffles","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/succinct-malleable-nizks-and-an-application-to-compact-shuffles\/","title":{"rendered":"Succinct Malleable NIZKs and an Application to Compact Shuffles"},"content":{"rendered":"<div class=\"asset-content\">\n<p>Depending on the application, malleability in cryptography can be viewed as either a flaw or \u2014 especially if sufficiently understood and restricted \u2014 a feature. In this vein, Chase, Kohlweiss, Lysyanskaya, and Meiklejohn recently defined malleable zero-knowledge proofs, and showed how to <em>control<\/em> the set of allowable transformations on proofs. As an application, they construct the first <em>compact<\/em> verifiable shuffle, in which one such controlled-malleable proof suffices to prove the correctness of an entire multi-step shuffle.<\/p>\n<p>Despite these initial steps, a number of natural problems remained: (1) their construction of controlled-malleable proofs relies on the inherent malleability of Groth-Sahai proofs and is thus not based on generic primitives; (2) the classes of allowable transformations they can support are somewhat restrictive.<\/p>\n<p>In this paper, we address these issues by providing a generic construction of controlled-malleable proofs using succinct non-interactive arguments of knowledge, or SNARGs for short. Our construction can support very general classes of transformations, as we no longer rely on the transformations that Groth-Sahai proofs can support.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Depending on the application, malleability in cryptography can be viewed as either a flaw or \u2014 especially if sufficiently understood and restricted \u2014 a feature. In this vein, Chase, Kohlweiss, Lysyanskaya, and Meiklejohn recently defined malleable zero-knowledge proofs, and showed how to control the set of allowable transformations on proofs. As an application, they construct [&hellip;]<\/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":"TCC 2013","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"100\u2013119","msr_page_range_start":"100","msr_page_range_end":"119","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"TCC 2013","msr_doi":"10.1007\/978-3-642-36594-2_6","msr_arxiv_id":"","msr_s2_paper_id":"","msr_mag_id":"","msr_pubmed_id":"","msr_other_authors":"Anna Lysyanskaya, Sarah 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