On Wed, Jan 08, 2020 at 04:51:55PM -0500, Jeff Burdges wrote:
>
> Appears Privacy Pass only uses prime order curves, but this only turns up in 
> their code.

I'm not sure what you mean by "this only turns up in their code".  The
paper[1] is clear (Sections 3.2, 5.1) that the group G has to have prime
order q.

[1] https://cs.uwaterloo.ca/~iang/pubs/privacypass-popets18.pdf

You're right that cofactors can be annoying, which is why prime-order
curves are often preferable, though there are sometimes extenuating
circumstances that suggest something else.
-- 
Ian Goldberg
Canada Research Chair in Privacy Enhancing Technologies
Professor, Cheriton School of Computer Science
University of Waterloo
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