Question: 1 . Demonstrate the Diffie - Hellman key exchange using an elliptic curve y 2 x 3 + ax + 9 ( mod p )

1. Demonstrate the Diffie-Hellman key exchange using an elliptic curve
y2 x3+ax+9(mod p), where p=8011. Use XA =119, XB =121. Find a perfect generator point or a generator point with the highest order if a perfect generator cannot be found for the first 30 points. List the values of the order of both the elliptic curve and generator point.

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