Welcome to the resource topic for 2009/213
Title:
Elliptic Curves in Montgomery Form with B=1 and Their Low Order Torsion
Authors: Richard Moloney, Gary McGuire, Michael Markowitz
Abstract:In this note we first characterize the class of Montgomery curves with B=1 by the simplicity of their transformation into short Weierstrass form and explicitly determine their torsion points of order 2 and 4. We then consider two ``verifiably random’’ elliptic curves in the SECG standards and show that they are B=1 Montgomery curves that can also be simply transformed into Edwards form over their ground fields.
ePrint: https://eprint.iacr.org/2009/213
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