Thanks Trevor, but I think I may not have made myself clear.  I’m not really 
asking about cofactors per se here.  I’m just using them as an illustrative 
example.  What I’m really asking about is whether I’m asking questions that are 
appropriate for the Curves list, or if I need to go back and do some more 
homework and if so, what that homework is.  The fact that you originally 
answered me off-list seemed to indicate that the latter might be the case.  A 
lot of the discussion here is still over my head, and I really don’t want to 
wear out my welcome by asking too many stupid questions.

Notwithstanding the above, thanks for these pointers!  They look like very 
interesting reading.

On Nov 1, 2016, at 1:35 PM, Trevor Perrin <[email protected]> wrote:

> Hi Ron,
> 
> Here's a few references that discuss cofactors in signature verification:
> 
> https://ed25519.cr.yp.to/eddsa-20150704.pdf (cofactor = 2^c)
> https://cr.yp.to/badbatch/badbatch-20120919.pdf
> 
> "Costs of cofactor > 1"
> https://moderncrypto.org/mail-archive/curves/2014/
> 
> Trevor
> 
> 
> On Tue, Nov 1, 2016 at 12:20 PM, Ron Garret <[email protected]> wrote:
>> 
>> So let me hard-fork this thread and ask a followup meta-question:  The fact 
>> that 8 was the cofactor of the curve is apparently something most (if not 
>> all) people on this list already knew.  But how?  Neither the Ed25519 paper 
>> nor the Curve25519 paper mentions it (AFAICT).
> 
> 
> Trevor

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