The parameters of ECDSA are given by the curve E : y2 ＝ x3 + 2x + 2 mod 17, the

The parameters of ECDSA are given by the curve E : y2 ＝ x3 + 2x + 2 mod 17, the point A ＝ (5,1) of order q ＝ 19 and Bob’s private d ＝ 10. Answer the following to show the process of signing (Bob) and verification (Alice) for the hash values h(x) ＝ 9 and ephemeral keys kE ＝8.
Signing:
R ＝ kEA ＝ 8.(5,1) ＝
[ Select ]
r ＝ xR ＝
[ Select ]
s ≡ (h(x)+d · r)kE−1 mod q ≡ (9+10.r).8-1 mod 19 ≡
[ Select ]
Verification:
w ≡ s−1 mod q ≡
[ Select ]
u1 ≡ w· h(x) mod q ≡
[ Select ]
u2 ≡ w· r mod q ≡
[ Select ]
P ＝ u1 A+u2 B ＝ 12A + 11B ＝
[ Select ]
xP ≡ r mod q ⇒valid signature