Let finite extension field GF(2^3) be defined by the irreducible polynomial f(x) = x3 + 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. Compute point doubling 2P . Compute point addition P + Q.

Note that the value of must be explicitly shown in your solution when computing point addition and point doubling.

Use elliptic curve GF (2^m) If P1P2:

= 1 + 2 / 1 + 2

3 = ^2 + + 1 + 2 + 2

3 = (1 + 3) + 3 + 1

If P1=P2: = 1/1 + 1

3 = ^2 + + 2

3 = (1 + 3) + 3 + 1

Please solve this using the above formula