Re: [30 BTC Bounty] - Find a mathematical / algorithmical formula
Was just reading more on the Montgomery curve under the arithmetic section, I think we are safe to "ignore" z, him saying z=1 allows us to say X=x and that's all we need the z for.
Code:
A point P=(x,y) on the elliptic curve in the Montgomery form By^2 = x^3 + Ax^2 + x can be represented in Montgomery coordinates P=(X:Z), where P=(X:Z) are projective coordinates and x=X/Z for Z!=0
yes, that seems a reasonable interpretation.
Should i ignore a as given by ncsupanda. I don't think that ignoring 'a' is right.
Mathematically as long as the "a" value remains constant during each new iteration then the effect it has is constant - it's not unnecessary, it just doesn't need to be evaluated for, so it should be fine to set as any integer and leave it alone.
As got the results you got, I don't think you are substituting the equation back into itself for each new x value, I think you are just increasing x by 1 and then repeating the calculation. What you want to be doing is leaving x constant (in this case 9) and then reevaluating each iteration until your new x value matches the next incremented integer value of x (in this case 10).
If I've misunderstood anything, feel free to correct me. That's just how I understand it.
As got the results you got, I don't think you are substituting the equation back into itself for each new x value, I think you are just increasing x by 1 and then repeating the calculation. What you want to be doing is leaving x constant (in this case 9) and then reevaluating each iteration until your new x value matches the next incremented integer value of x (in this case 10).
If I've misunderstood anything, feel free to correct me. That's just how I understand it.
Also, is this
the right formula? If so, A=a?