An Improved Pairing-Friendly Elliptic Curve Applying to Bilinear Pairings
Construct more suitable pairing-friendly elliptic curve for bilinear pairings, measured mainly by the parameters embedding degree k and choice of parameter ρ .We extend embedding degree ;also we reduce restrictions of r(x).The improved algorithm is suitable for all the bilinear pairings, while it is more superior to Ate pairing that the frobenius trace of elliptic curve reach to the lower bound, thus effective application is in pairing-based cryptosystems schemes .
bilinear pairing embedding degree Frobenius trace pairing-friendly elliptic curves
Pengjuan Wei Xuejun Li Chunhua Jin Lichuan Wang
Key Laboratory of Computer Network and Information Security, Ministry of Education Xidian University Xian 710071,China
国际会议
成都
英文
506-510
2010-12-17(万方平台首次上网日期,不代表论文的发表时间)