{"id":340823,"date":"2016-12-23T12:04:16","date_gmt":"2016-12-23T20:04:16","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/?post_type=msr-research-item&#038;p=340823"},"modified":"2018-10-16T20:45:03","modified_gmt":"2018-10-17T03:45:03","slug":"textbook-non-malleable-commitments","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/textbook-non-malleable-commitments\/","title":{"rendered":"Textbook non-malleable commitments"},"content":{"rendered":"\n\n\n<p class=\"wp-block-paragraph\"><div id=\"citationdetails\" class=\" x-tabs-top\"> <div id=\"tab-body9\" class=\" x-tabs-body\"> <div id=\"abstract\" class=\"ytab x-tabs-item-body\"> <div class=\"tabbody\"> <div><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We present a new non-malleable commitment protocol. Our protocol has the following features: itemize The protocol has only three rounds of interaction. Pass (TCC 2013) showed an impossibility result for a two-round non-malleable commitment scheme w.r.t. a black-box reduction to any &#8220;standard&#8221; intractability reduction. Thus, this resolves the round complexity of non-malleable commitment at least w.r.t. black-box security reductions. Our construction is secure as per the standard notion of non-malleability w.r.t. commitment. Our protocol is truly efficient. In our basic protocol, the entire computation of the committer is dominated by just three invocations of a non-interactive statically binding commitment scheme, while, the receiver computation (in the commitment stage) is limited to just sampling a random string. Unlike many previous works, we directly construct a protocol for large tags and hence avoid any non-malleability amplification steps. Our protocol is based on a black-box use of any non-interactive statistically binding commitment scheme. Such schemes, in turn, can be based on any one-to-one one-way function (or any one-way function at the cost of an extra initialization round). Previously, the best known black-box construction of non-malleable commitments required a larger (constant) number of rounds. Our construction is public-coin and makes use of only black-box simulation. Prior to our work, no public-coin constant round non-malleable commitment schemes were known based on black-box simulation. itemize Our techniques depart significantly from the techniques used previously to construct non-malleable commitment schemes. As a main technical tool, we rely on non-malleable codes in the split state model. Our proofs of security are purely combinatorial in nature. In addition, we also present a simple construction of constant round non-malleable commitments from any one-way function. While this result is not new, the main feature is its simplicity compared to any previous construction of non-malleable commitments (in any number of rounds). We believe the construction is simple enough to be covered in a graduate level course on cryptography. The construction uses non-malleable codes in the split state model in a black-box way.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/div> <\/div> <\/div> <\/div> <\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We present a new non-malleable commitment protocol. Our protocol has the following features: itemize The protocol has only three rounds of interaction. Pass (TCC 2013) showed an impossibility result for a two-round non-malleable commitment scheme w.r.t. a black-box reduction to any &#8220;standard&#8221; intractability reduction. Thus, this resolves the round complexity of non-malleable commitment at least [&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":[{"type":"user_nicename","value":"vipul","user_id":34597},{"type":"text","value":"Omkant Pandey","user_id":0},{"type":"text","value":"Silas Richelson","user_id":0}],"msr_publishername":"ACM","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"1128\u20131141","msr_page_range_start":"1128","msr_page_range_end":"1141","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"STOC '16 Proceedings of the forty-eighth annual ACM symposium on Theory of 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