4-bit curve

Now experimenting on a very small curve, taken from Guide to Elliptic Curve Cryptography #27, F_2^4 with reduction polynomial f(z) = z^4+z+1 , E: y^2 + xy = x^3 + z^3x^2 + (z^3+1) (a = z^3, b = z^3+1).

Have checked that the points on #81 are on curve.

Next to do is to perform curve operation Q= k.P

Notes:

This curve is not a Koblitz curve. Going compare this one with Koblitz (by changing a =1 or a = 0 and b = 1). To generate points on curve look at P1363.

Advertisements