Question: Let E_0 be the Koblitz curve Y^2 + XY = X^3 + 1 over the field F2, and for every k 1, let t_k =

Let E_0 be the Koblitz curve Y^2 + XY = X^3 + 1 over the field F2, and for every k 1, let t_k = 2k + 1 #E(F_2^k ).

1. Use the recursion, t_k = t_1 * t_(k1) p * t_(k2) for all t 3 , to compute #E(F_16).

2. Program a computer to calculate the recursion and use it to compute the values of #E(F_2^11 ), #E(F_2^31 ), and #E(F_2^101 ).

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