A note on the x-coordinate of points on an elliptic curve in characteristic two
We consider how a linear condition on the bits representing an x-coordinate of a point on an elliptic curve over a field of characteristic two can lead to problems both in elliptic curve based Diffie-Hellman key agreement and the method of distinguished points for solving the elliptic curve discrete logarithm problem. Easy solutions are proposed which solve the problems in all cases. (C) 2001 Elsevier Science B.V. All rights reserved.
distinguished points cryptography elliptic curve cryptography finite field