In this paper

we described adifferential power analysis attack on the Montgomery Ladder algorithm based on the finite field GF(2)． We first implemented the algorithm with Verilog HDL

and then synthesized it to the netlist using the Charted 0.35μm CMOS technology

thus we can get the power information accurately． We performed a ZEMD differential power analysis attack on this algorithm subsequently

and use the abscissa of

a variable of the Montgomery Ladder algorithm

as the intermediate variable to classify the power curves

the result shows that the Montgomery Ladder algorithm couldn′t resist the ZEMD differential power analysis attack. So the algorithm is not secure enough

we need to take some more protective measures in practice.