Question: Suppose Elliptic curve E is defined by y ^ 2 = x ^ 3 + x + 6 over Z 1 0 3 9 .

Suppose Elliptic curve E is defined by y^2= x^3+x+6 over Z1039.
Since Z1039 is small, you can program to slove all the following problems.
Suppose E and a generator \alpha =(818,121) are public. Alice and Bob
achieve a shared secret by doing Diffie-hellman key exchange. Alice
sends Bob a value (199,72), and Bob sends Alice a value (815,519),
what is the secret they achieve?

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