{"id":625086,"date":"2019-12-03T02:00:32","date_gmt":"2019-12-03T10:00:32","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=625086"},"modified":"2019-12-03T02:00:32","modified_gmt":"2019-12-03T10:00:32","slug":"efficient-round-optimal-blind-signatures","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/efficient-round-optimal-blind-signatures\/","title":{"rendered":"Efficient Round Optimal Blind Signatures"},"content":{"rendered":"<p><span style=\"color: #000000;font-family: 'Times New Roman';font-size: medium;font-style: normal;font-weight: 400;letter-spacing: normal;text-align: start;text-indent: 0px;text-transform: none;background-color: #ffffff;float: none\">In this work, we construct the first blind-signature scheme that does not suffer from any of these limitations. In other words, besides being round optimal and having a standard model proof of security, our scheme is very efficient. Specifically, in our scheme, one signature is of size <\/span><span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" style=\"font-style: normal;font-weight: 400;line-height: normal;font-size: medium;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;padding: 0px;margin: 0px;color: #000000;font-family: 'Times New Roman';background-color: #ffffff\" role=\"presentation\" data-mathml=\"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>6.5<\/mn><\/math>\"><span id=\"MathJax-Span-1\" class=\"math\" role=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"mn\">6.5KB<\/span><\/span><\/span><\/span><span style=\"color: #000000;font-family: 'Times New Roman';font-size: medium;font-style: normal;font-weight: 400;letter-spacing: normal;text-align: start;text-indent: 0px;text-transform: none;background-color: #ffffff;float: none\"> and the communication complexity of the signing protocol is roughly <\/span><span id=\"MathJax-Element-2-Frame\" class=\"MathJax\" style=\"font-style: normal;font-weight: 400;line-height: normal;font-size: medium;text-indent: 0px;text-align: left;text-transform: none;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;padding: 0px;margin: 0px;color: #000000;font-family: 'Times New Roman';background-color: #ffffff\" role=\"presentation\" data-mathml=\"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>100<\/mn><\/math>\"><span class=\"MJX_Assistive_MathML\" role=\"presentation\">100KB<\/span><\/span><span style=\"color: #000000;font-family: 'Times New Roman';font-size: medium;font-style: normal;font-weight: 400;letter-spacing: normal;text-align: start;text-indent: 0px;text-transform: none;background-color: #ffffff;float: none\">. An amortized variant of our scheme has communication complexity less that <\/span><span style=\"color: #000000;font-family: 'Times New Roman';font-size: medium;font-style: normal;font-weight: 400;letter-spacing: normal;text-align: start;text-indent: 0px;text-transform: none;background-color: #ffffff;float: none\">1KB.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this work, we construct the first blind-signature scheme that does not suffer from any of these limitations. In other words, besides being round optimal and having a standard model proof of security, our scheme is very efficient. Specifically, in our scheme, one signature is of size 6.5KB and the communication complexity of the signing 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