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Hello, <br>
<br>
Folks interested in a legacy-level high-efficiency curve targeting
the ~94 bit security level might like to have a look at Curve19119
and it's associated DH protocol X19119. Curve19119 and X19119
originally have been developed for use with our variant of the PAKE
protocol PACE. We developed Curve19119 in order to get better
responsiveness in our PAKE protocol implementation in an explosion
protected setting with severe power constraints. Originally we did
fear that Curve25519 might be too slow. A preprint of our CHES2017
paper giving the curve parameters and the derivation process (as a
side-aspect of the optimization for PACE) is available at <br>
<br>
"<b>Making Password Authenticated Key Exchange Suitable For
Resource-Constrained Industrial Control Devices"</b><br>
<a class="moz-txt-link-freetext"
href="https://eprint.iacr.org/2017/562">https://eprint.iacr.org/2017/562</a>
<br>
<br>
We observe a speedup factor of roughly 1.9 in comparison to our
X25519 implementation on a Cortex M0+ microcontroller.<br>
<br>
Yours, <br>
<br>
Björn<br>
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