> > Yes i did same thanks for all ur support. > Is there any relation between curve parameter and private key or > private key can be any random number? >
Yes there is a relationship. The private key must be a random number between 0 and the order of the curve. > As far I remeber there is relation and it depend upon discrete math > problem that is unsolved as of now. > so once that problem got resolved private key can be broken. > am i correct? > You are talking about the relationship between the private key and the public key. The security is based on the difficulty of solving the discrete logarithm problem. Basically if g^x = h, where g and h are elements of a finite cyclic group (in other words points on our curve in this case), it is hard to find x given g and h. In this case g is the generator point (one of the curve parameters), x is the private key and h is the public key. If someone finds a short cut for solving this problem then the security is broken. Matt
