Let E be the elliptic curve defined by y2 = x3 + x + 1 in Z11xZ11:

Find the points in E.

Compute 2(3,3) and -2(3,3)+(2,0)

Suppose in the ElGamal using the curve in 1, Alice constructs P= (8,9) and Q=2P=(0,1) and makes public P,Q and E. She receives S= (3,3), T=(2,0) from Bob.

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