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<div class="gmail_quote">On Tue, Jul 7, 2015 at 11:01 PM, Tanja Lange <span dir="ltr">
<<a href="mailto:tanja@hyperelliptic.org" target="_blank" onclick="window.open('https://mail.google.com/mail/?view=cm&tf=1&to=tanja@hyperelliptic.org&cc=&bcc=&su=&body=','_blank');return false;">tanja@hyperelliptic.org</a>></span> wrote:<br>
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I've seen 'clock arithmetic' used for computing mod p but I think<br>
Dan Bernstein and I were introducing 'clock crypto' for real clocks.<br>
Of course you're 'clock crypto' any way you want but I find it to<br>
be confusing with our way of presenting elliptic curves via clocks,</blockquote>
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<div>Nice chart! On analogies …</div>
<div>I’ve always like the ‘pool table’ model to describe ECC. Rather than slices, you show A=a*G as point multiplication drawing lines from G, 2*3, 3*G up to a.</div>
<div>For a circle this shows nicely and can be described a ball bouncing around a pool table many times. For a simple shape (circle), the path is reversible … for a complex shape it’s very difficult to calculate how many ‘bounces’ of the ball it took to get
from G to the end point. A small Edwards curve next to a circle with a few lines might be an interesting illustration. </div>
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<div>Another minor comment – the multiplicative notation A=a*G versus A=g^a reads better for ECC descriptions (IMHO).</div>
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<div>Paul</div>
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<br>
where we use proper arithmetic on the clock (=circle). For our<br>
presentation the comment about 'distorted clocks' makes sense, I<br>
don't understand what it means if you take the clock to be just the<br>
integers mod some prime.</blockquote>
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<div>I got similar feedback from Tom Ptacek so... duly noted.</div>
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<div>I was trying to make a visual allusion to hours being points on a circle, without really describing that in prose (or arithmetic). Hence the big red points on the circle. And really I was trying to use that all as a lead in to the Dali analogy.</div>
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<div>One thing that I think might help that is completely abandoning the clock face metaphor and just using a simple circle with the hours. I might have the space to attempt to describe the hours as points on a unit circle and show those on each of the respective
"clocks".<br>
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<div>Here's a new version that does away with the clock face metaphor and replaces it with a simple circle, and hopefully addresses your other nits:</div>
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<div><a href="https://i.imgur.com/0v4kWYy.png">https://i.imgur.com/0v4kWYy.png</a><br>
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-- <br>
<div class="gmail_signature">Tony Arcieri<br>
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