CHEN Shan, ZHANG Xusheng, WANG Kunpeng, LIN Dongdai. Six Subfamilies of Implementation-Friendly Barreto-Naehrig Curves[J]. Chinese Journal of Electronics, 2014, 23(1): 169-174.
Citation: CHEN Shan, ZHANG Xusheng, WANG Kunpeng, LIN Dongdai. Six Subfamilies of Implementation-Friendly Barreto-Naehrig Curves[J]. Chinese Journal of Electronics, 2014, 23(1): 169-174.

Six Subfamilies of Implementation-Friendly Barreto-Naehrig Curves

Funds:  This work is supported by the National 973 Program of China (No.2011CB302400), the Strategic Priority Research Program of Chinese Academy of Sciences (No.XDA06010701, No.XDA06010702) and Institute of Information Engineering's Research Project on Cryptography (No.Y3Z0023103, No.Y3Z0011102).
  • Received Date: 2013-01-01
  • Rev Recd Date: 2013-02-01
  • Publish Date: 2014-01-05
  • 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.
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