{"title":"A Smaller Final Exponentiation for Tate and Ate Pairings with Barreto-Naehrig Curve","authors":"Yuki Kono, T. Sumo, Y. Nogami","doi":"10.1109/NBiS.2013.86","DOIUrl":null,"url":null,"abstract":"This paper shows an approach for reducing the size of the exponent of final exponentiation with multiplying some extra terms. In the case of Tate and Ate pairings with Barreto-Naehrig curve whose embedding degree is 12, the exponent is reduced to (p4 - p2+ 1)/r, where p is the characteristic of the base field and r is the order of pairing.","PeriodicalId":261268,"journal":{"name":"2013 16th International Conference on Network-Based Information Systems","volume":"311 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 16th International Conference on Network-Based Information Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NBiS.2013.86","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper shows an approach for reducing the size of the exponent of final exponentiation with multiplying some extra terms. In the case of Tate and Ate pairings with Barreto-Naehrig curve whose embedding degree is 12, the exponent is reduced to (p4 - p2+ 1)/r, where p is the characteristic of the base field and r is the order of pairing.
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