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Consider E: y2=x3+4x+20 mod 29 List all elements of the group Consider the point P:(8,10) in the group Pick 2 random integers a and b (what range will you use?) Compute A=a.P and B-b.P and show the answers Find the shared key that can be computed using A and b (also show your answer using B and a) For the same curve, consider point Q-15.P. Find Q in an efficient manner Now using P and Q. find the following. Be as efficient as possible and indicate how you arrive at your solution. a. 16. P b. 38.P c. 14.P+4.Q d. 23.P-11.Q