Rating:
Using properties of elliptic curve pairings, and considering PiH = G1
, we can compute PiC = [t^4 - 10 t^3 + ... + 24]G1
and PiCa = [a t^4 - 10 a t^3 + 35 a t^2 - 50 a t + 24 a]G1
which can be computed from PKC
and PKCa
respectively.
More details in the full writeup