(1) State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China; (2) Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (3) University of Chinese Academy of Sciences, Beijing 100049, China
Abstract:
In this paper, we depict in detail six subfamilies of implementation- friendly Barreto-Naehrig (BN) elliptic curves by choosing six special congruency classes of the curve-finding search parameter. These curves have small curve constants, support efficient tower extension options of finite field required in fast pairing implementation and have obvious generators for the bilinear cycle group G1. The detailed description will supply the implementor with more choices of suitable BN curves.
English Abstract:
In this paper, we depict in detail six subfamilies of implementation- friendly Barreto-Naehrig (BN) elliptic curves by choosing six special congruency classes of the curve-finding search parameter. These curves have small curve constants, support efficient tower extension options of finite field required in fast pairing implementation and have obvious generators for the bilinear cycle group G1. The detailed description will supply the implementor with more choices of suitable BN curves.
Chen, Shan ,Zhang, Xusheng ,Wang, Kunpeng ,et al. Six subfamilies of implementation-friendly Barreto-Naehrig curves[J]. Chinese Journal of Electronics,2014-01-01,23(1):169-174.
