> On Fri, Jan 17, 2014 at 8:55 PM, Alan Reiner <etothe...@gmail.com> wrote:
>> Isn't there a much faster asymmetric scheme that we can use?  I've heard 
>> people talk about ed25519, though I'm not sure it can be used for encryption.
> 
> Doing ECDH with our curve is within a factor of ~2 of the fastest
> encryption available at this security level, AFAIK.  And separate
> encryption would ~double the amount of data vs using the ephemeral key
> for derivation.
> 
> Using another cryptosystem would mandate carry around additional code
> for a fast implementation of that cryptosystem, which wouldn't be
> fantastic.
> 
> So I'm not sure much can be improved there.

In the case where payment is being sent only to Q1, and Q2 is for discovery 
only, perhaps we could use a 160-bit curve for d2/Q2 and e/P resulting in 20 
byte vs 32 bytes in the OP_RETURN, and of course faster multiplication. 

80-bits of security I assume still greatly exceeds the actual level of privacy 
you get with the overall solution, and since Q2 is never protecting actual 
funds...

But if it's a "real weakening" of the privacy then definitely not worth it, and 
even the added complexity of another curve seems possibly not worth it...

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