Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이향숙 | - |
dc.date.accessioned | 2016-08-29T12:08:08Z | - |
dc.date.available | 2016-08-29T12:08:08Z | - |
dc.date.issued | 2016 | - |
dc.identifier.issn | 1935-0090 | - |
dc.identifier.other | OAK-16602 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/231142 | - |
dc.description.abstract | A general method for constructing families of pairing-friendly elliptic curves is the Brezing-Weng method. In many cases, the Brezing-Weng method generates curves with discriminant D = 1 or 3 and restricts the form of r(x) to be a cyclotomic polynomial. However, since we desire a greater degree of randomness on curve parameters to maximize security, there have been studies to develop algorithms that are applicable for almost arbitrary values of D and more various forms of r(x). In this paper, we suggest a new method to construct families of pairing-friendly elliptic curves with variable D and no restriction on the form of r(x) for arbitrary k by extending and modifying the Dupont-Enge-Morain method. As a result, we obtain complete families of curves with improved r-values for k = 8,12,16,20 and 24. We present the algorithm and some examples of our construction. © 2016 NSP. | - |
dc.language | English | - |
dc.publisher | Natural Sciences Publishing Co. | - |
dc.subject | Complete families | - |
dc.subject | Dupont-Enge-Morain method | - |
dc.subject | Pairing-friendly elliptic curves | - |
dc.title | Families of pairing-friendly elliptic curves from a polynomial modification of the Dupont-Enge-Morain method | - |
dc.type | Article | - |
dc.relation.issue | 2 | - |
dc.relation.volume | 10 | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 571 | - |
dc.relation.lastpage | 580 | - |
dc.relation.journaltitle | Applied Mathematics and Information Sciences | - |
dc.identifier.doi | 10.18576/amis/100218 | - |
dc.identifier.scopusid | 2-s2.0-84960118297 | - |
dc.author.google | Lee H.-S. | - |
dc.author.google | Lee P.-R. | - |
dc.contributor.scopusid | 이향숙(34870017000) | - |
dc.date.modifydate | 20230411110859 | - |