Pairing Computation in Jacobi Quartic Curves Using Weight Projective Coordinates

摘要

In this paper, we present the pairing computation on Jacobi quadric curves using weight projective coordinates. In our algorithm, the cost of addition step reduced to 1M+(k+9)m+3s+1m_t, and the cost of doubling step is 1M+1S+(k+3)m+8s+2m_a+1m_d.