<p>We propose a new Elliptic curve at a security level significantly greater than the standard 128 bits, that fills a gap in current proposals while bucking the expected security vs cost curve by exploiting the new trick recently described by Granger and Scott. This essentially reduces the cost of field multiplication to that of a field squaring.</p>
<p><a href="/assets/pdf-downloads/curve.pdf" target="_blank" class="cta_button hero-button hvr-radial-out">Download paper and learn about an alternative Elliptic Curve</a></p>
<h3 class="sectionHead"><span class="titlemark">1 </span> <a id="x1-10001"></a>Introduction</h3>
<p>If a non-cryptographer were asked to guess how much stronger TOP SECRET
cryptography is compared with commercial strength cryptography, I would imagine
that most would suggest a hundred times, maybe a thousand times, maybe even a
million times. But I think many would be surprised that in fact its at least
9,223,372,036,854,775,808 times, a number so big that it is unspeakable. But
thats the difference between an elliptic curve at the 128-bit level of security
and an elliptic curve at the 192-bit level. Most might consider this a little
excessive.
</p>…