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Are there any error correction systems that would make a 3cm x 3cm hole anywhere on the page still allow the full page to be completely recoverable?

Or "holographic" error correction, where even if 90% of the page is gone, you could still get the "gist" of it somehow? (I'm not sure what I'm asking for mathematically, but probing for ideas that are out there.)



Erasure coding (particularly fountain codes) are what you'd want to use.


You’d have to be clever about the physical distance between overlapping codes. You’d hate to see a 3cm artifact (cut, stain, spill, etc) take out a whole unit/block. (Assuming you’d print multiple blocks on a page.)




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