On Monday, 7 April 2014, at 5:38 pm, Gregory Maxwell wrote:
> On Mon, Apr 7, 2014 at 5:33 PM, Nikita Schmidt
> <nik...@megiontechnologies.com> wrote:
> > Regarding the choice of fields, any implementation of this BIP will
> > need big integer arithmetic to do base-58 anyway.
> 
> Nah, it doesn't. E.g.
> https://gitorious.org/bitcoin/libblkmaker/source/eb33f9c8e441ffef457a79d76ceed1ea20ab3059:base58.c

That only *decodes* Base58Check. It has no encode function, which would require 
biginteger division.

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