Yes GF(p) is generally faster than GF(2^n) in software. And I'm not aware of 
any relevant patents for what you want to do.

--------------------------------------------------
From: "zooko" <[EMAIL PROTECTED]>
Sent: Sunday, January 13, 2008 1:30 PM
To: "Crypto++ Users" <[EMAIL PROTECTED]>
Subject: fastest unencumbered ECDSA key generation?

>
> Folks:
>
> I would like to wrap ECDSA for my pycryptopp library.  If we use
> ECDSA in the allmydata.org decentralized filesystem, then we'll be
> very sensitive to key pair generation time.  Looking at the Crypto++
> benchmarks suggests that Crypto++ can generate key pairs over GF(p)
> 256 about three times as fast as over GF(2^n) 233.  What I haven't
> figured out yet, despite much scratching my head and searching the
> Net, is whether there are any patents in effect which claim to cover
> what Crypto++ does when you ask it to generate a key pair over GF(p)
> 256 and then to sign and to verify signatures.
>
> Thanks,
>
> Regards,
>
> Zooko
>
>
> > 


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