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Date: Fri, 24 May 2024 10:39:57 +0000
To: Andrew Poelstra <apoelstra@wpsoftware.net>
From: "'Rama Gan' via Bitcoin Development Mailing List" <bitcoindev@googlegroups.com>
Cc: "bitcoindev@googlegroups.com" <bitcoindev@googlegroups.com>
Subject: Re: [bitcoindev] Penlock, a paper-computer for secret-splitting BIP39
seed phrases
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> Ah, I am incorrect. You can put the recovery windows on a slide wheel
> but it needs to use a different ordering than the one used for addition.
> So you would need a second wheel and possibly some relabelling of
> recovery windows.
>
> I don't see why this is ... it seems that the recovery windows, being
> differences of characters, should follow exactly the same pattern as
> addition (possibly in the opposite direction). So worth investigating.
No, no, you were right, it can be done.
If you want to find the difference between A[2] and D[5], you can place the
pointer on A, find D on the outer ring and the corresponding inner-ring
character will be B[3]. Then, it is possible to write the numerical values under
the first 14 characters as you suggested before. (We only care about the
_shortest_ distance.)
I chose to use a window because it's less "verbose". I didn't want to clutter
the wheel with information that you'd use only once per recovery. (Using the
window is in fact more compact.)
About a header, the problem is that the fast 2-of-M algorithm won't preserve
constant values across shares as Codex32 does. In Penlock, the header
information is simply printed/written on the share instead of being encoded. The
best I can do is to tweak both algorithm so that you can derive the secret and
share's index correctly, by using "-[28]" as the secret's index. (But the secret
is not a point on the line, and the share at X=28 would have a different value,
so that might be more confusing than anything)
-- Rama Gan
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