Problem:

Question 1- Consider the curve y2 ? x3 + 3x + 5 mod 17.

Part 1- Confirm that it is an elliptic curve.

Part 2- Determine three points on the curve over real numbers

Part 3- Determine three points on the curve over integer numbers

Part 4- For one of the points P in (iii), find 2P (or double)

Part 5- For two of the points P and Q in (iii), find P+Q

Part 6- Find the bound for the number of points on this curve using Hesse's theorem.

Question 2- Using an example, show how ECDH can be implemented using this curve.

Show the pedigree and your calculation.