Families of pairing-friendly elliptic curves from a polynomial modification of the Dupont-Enge-Morain method
- 주제(키워드) Complete families , Dupont-Enge-Morain method , Pairing-friendly elliptic curves
- 관리정보기술 faculty
- 등재 SCOPUS
- 발행기관 Natural Sciences Publishing Co.
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000125504
- 본문언어 영어
- Published As http://dx.doi.org/10.18576/amis/100218
초록/요약
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.
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