Simple and exact formula for minimum loop length in Ate i pairing based on Brezing-Weng curves
- 주제(키워드) Elliptic curves , Miller algorithm , Pairing-based cryptosystem
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Kluwer Academic Publishers
- 발행년도 2013
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000094818
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s10623-011-9605-y
초록/요약
We provide a simple and exact formula for the minimum Miller loop length in Ate i pairing based on Brezing-Weng curves, in terms of the involved parameters, under a mild condition on the parameters. It will also be shown that almost all cryptographically useful/meaningful parameters satisfy the mild condition. Hence the simple and exact formula is valid for them. It will also turn out that the formula depends only on essentially two parameters, providing freedom to choose the other parameters to address the design issues other than minimizing the loop length. © 2012 Springer Science+Business Media, LLC.
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