Your post is very interesting.  The tail part of it seems mangled.

On Wed, 2007-11-14 at 20:37 -0500, Eric Boesch wrote:
> . Any coordinate is just a sequence of bits. Each bit can be encoded
> separately. So the problem reduces to how to encode a single bit (0 or
> 1) so that the sum of up to 4 values equals a given number (say 0)
> only if the bit is equal each time.
> 
> For bitmasking ease, you can use 3 bits per bit. Spread each input
> number out like this: the
> 
> Up to 4 times 1 (mod 0) equals 0 only if

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