
In pairing-based cryptography, Miller's algorithm plays a key role in the calculation of pairing. Currently, most of the optimizations of Miller's algorithm are of serial structure. In this paper, we propose a parallel method for efficiently computing pairing. Our method can be applied to super singular elliptic curves and ordinary elliptic curves which are suitable for pairing-based cryptography. Compared with general version of Miller's algorithm, our method has a gain of around 50.0\%.
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