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Alice and bob want to secretly exchange a message. they have agreed on using the elliptic curve E: y ^ 2 = x ^ 3

Alice and bob want to secretly exchange a message. they have agreed on using the elliptic curve E: y^2=x^3+1 over the finite field F25:=F5[X]/(X^2+4X+2), and they have also agreed to use the point (4a+2,3) in E(F25) of order 6 as a generator of a cyclic subgroup. a) Explicitly write down a procedure bob can use to send the message "212" to Alice. Make sure you include the actual message bob would send to Alice. b) Explicitly write down a procedure Alice can use to decrypt bob's message and carry out this procedure.

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