{"id":338387,"date":"2016-12-19T11:34:26","date_gmt":"2016-12-19T19:34:26","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=338387"},"modified":"2018-10-16T19:57:48","modified_gmt":"2018-10-17T02:57:48","slug":"constructing-digital-signatures-one-way-function","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/constructing-digital-signatures-one-way-function\/","title":{"rendered":"Constructing Digital Signatures from a One Way Function"},"content":{"rendered":"<p>At a coffee house in Berkeley around 1975, Whitfield Diffie described a problem to me that he had been trying to solve: constructing a digital signature for a document. I immediately proposed a solution. Though not very practical&#8211;it required perhaps 64 bits of published key to sign a single bit&#8211;it was the first digital signature algorithm. Diffie and Hellman mention it in their classic paper:<\/p>\n<p>Whitfield Diffie and Martin E. Hellman. New Directions in Cryptography. IEEE Transactions on Information Theory IT-22, 6 (1976), 644-654.<br \/>\n(I think it&#8217;s at the bottom right of page 650.)<\/p>\n<p>In 1978, Michael Rabin published a paper titled Digitalized Signatures containing a more practical scheme for generating digital signatures of documents. (I don&#8217;t remember what other digital signature algorithms had already been proposed.) However, his solution had some drawbacks that limited its utility. This report describes an improvement to Rabin&#8217;s algorithm that eliminates those drawbacks.<\/p>\n<p>I&#8217;m not sure why I never published this report. However, I think it was because, after writing it, I realized that the algorithm could be fairly easily derived directly from Rabin&#8217;s algorithm. So, I didn&#8217;t feel that it added much to what Rabin had done. However, I&#8217;ve been told that this paper is cited in the cryptography literature and is considered significant, so perhaps I was wrong.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>At a coffee house in Berkeley around 1975, Whitfield Diffie described a problem to me that he had been trying to solve: constructing a digital signature for a document. I immediately proposed a solution. Though not very practical&#8211;it required perhaps 64 bits of published key to sign a single bit&#8211;it was the first digital signature [&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":"lamport","user_id":"32614"}],"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"SRI 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