TY - JOUR
T1 - A family of implementation-friendly BN elliptic curves
AU - Pereira, G.C.C.F.
AU - Simplício, M.A.
AU - Naehrig, M.
AU - Barreto, P.S.L.M.
PY - 2011
Y1 - 2011
N2 - For the last decade, elliptic curve cryptography has gained increasing interest in industry and in the academic community. This is especially due to the high level of security it provides with relatively small keys and to its ability to create very efficient and multifunctional cryptographic schemes by means of bilinear pairings. Pairings require pairing-friendly elliptic curves and among the possible choices, Barreto–Naehrig (BN) curves arguably constitute one of the most versatile families.
In this paper, we further expand the potential of the BN curve family. We describe BN curves that are not only computationally very simple to generate, but also specially suitable for efficient implementation on a very broad range of scenarios. We also present implementation results of the optimal ate pairing using such a curve defined over a 254-bit prime field.
AB - For the last decade, elliptic curve cryptography has gained increasing interest in industry and in the academic community. This is especially due to the high level of security it provides with relatively small keys and to its ability to create very efficient and multifunctional cryptographic schemes by means of bilinear pairings. Pairings require pairing-friendly elliptic curves and among the possible choices, Barreto–Naehrig (BN) curves arguably constitute one of the most versatile families.
In this paper, we further expand the potential of the BN curve family. We describe BN curves that are not only computationally very simple to generate, but also specially suitable for efficient implementation on a very broad range of scenarios. We also present implementation results of the optimal ate pairing using such a curve defined over a 254-bit prime field.
U2 - 10.1016/j.jss.2011.03.083
DO - 10.1016/j.jss.2011.03.083
M3 - Article
SN - 0164-1212
VL - 84
SP - 1319
EP - 1326
JO - Journal of Systems and Software
JF - Journal of Systems and Software
IS - 8
ER -