Sage Tool Cryptography

 

Question:

For all of the following questions show your sage input/output. Compute the order of the curve defined by y^2 = x^3 + 7*x + 25 over the finite field with 47 elements On the curve defined by y^2 + x*y = x^3 + x over GF(2^8) compute the inverse of the point (1,1) On the curve defined by y^2 + y = x^3 + x^2 + x + 1 over the finite field with 701 elements, find a generator and show its order. On the curve defined by y^2 = x^3 + 4187*x + 3814 over finite field of size 6421 compute the sum of the points (3711,373) and (4376,2463). On the elliptic curve defined by y^2 = x^3 + 3361*x + 6370 over finite field of size 8461 compute 1001 times the point (1735, 3464). On the elliptic curve defined by y^2 = x^3 + 1800*x + 1357 over finite field of size 8191, let P1 = (1794, 1318) and P2 = (3514, 409), compute the sum of 13 times P1 plus 28 times P2.

Need your ASSIGNMENT done? Use our paper writing service to score better and meet your deadline.


Click Here to Make an Order Click Here to Hire a Writer