Let finite extension field GF(2^3) be defined by the irreducible polynomial f(x) = x^3 + x + 1. An elliptic curve E over GF(2^3) is defined by E: y^2+xy=x^3+x^2. LetP =(x+1,x^2)andQ=(x^2 +x+1,x) be two points on E. (i) (9 marks) Compute point doubling 2P . (ii) (9 marks) Compute point addition P + Q. Data security n cryptography related question