{"id":163893,"date":"2009-01-01T00:00:00","date_gmt":"2009-01-01T00:00:00","guid":{"rendered":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/msr-research-item\/faster-pairings-on-special-weierstrass-curves\/"},"modified":"2021-03-29T07:58:27","modified_gmt":"2021-03-29T14:58:27","slug":"faster-pairings-on-special-weierstrass-curves","status":"publish","type":"msr-research-item","link":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/publication\/faster-pairings-on-special-weierstrass-curves\/","title":{"rendered":"Faster Pairings on Special Weierstrass Curves"},"content":{"rendered":"<p>This paper presents efficient formulas for computing cryptographic pairings on the curve\u00a0<em class=\"EmphasisTypeItalic \">y<\/em>\u00a0<sup>2<\/sup>\u2009=\u2009<em class=\"EmphasisTypeItalic \">c<\/em>\u00a0<em class=\"EmphasisTypeItalic \">x<\/em>\u00a0<sup>3<\/sup>\u2009+\u20091 over fields of large characteristic. We provide examples of pairing-friendly elliptic curves of this form which are of interest for efficient pairing implementations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This paper presents efficient formulas for computing cryptographic pairings on the curve\u00a0y\u00a02\u2009=\u2009c\u00a0x\u00a03\u2009+\u20091 over fields of large characteristic. We provide examples of pairing-friendly elliptic curves of this form which are of interest for efficient pairing implementations.<\/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 Verlag","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":"","msr_page_range_start":"89","msr_page_range_end":"101","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"Pairing 2009","msr_doi":"","msr_arxiv_id":"","msr_s2_paper_id":"","msr_mag_id":"","msr_pubmed_id":"","msr_other_authors":"C. Costello, H. Hisil, C. Boyd, J. M. Gonz\u00e1lez Nieto, K. 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