Constructing pairing-friendly curves with variable CM discriminant
- 주제(키워드) CM discriminant , Elliptic curves , Pairing-friendly curves
- 관리정보기술 faculty
- 등재 SCIE, KCI등재, SCOPUS
- 발행기관 Taehan Suhakhoe
- 발행년도 2012
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000093333
- 본문언어 영어
- Published As http://dx.doi.org/http://dx.doi.org/10.4134/BKMS.2012.49.1.075
초록/요약
A new algorithm is proposed for the construction of Brezing- Weng-like elliptic curves such that polynomials defining the CM discrim- inant are linear. Using this construction, new families of curves with variable discriminants and embedding degrees of k∈{8, 16, 20, 24}, which were not covered by Freeman, Scott, and Teske [9], are presented. Our result is useful for constructing elliptic curves with larger and more exible discriminants. © 2012 The Korean Mathematical Society.
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