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.