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I'm interested in a variant of the Binary Channel, where the bits aren't flipped with some probability, but rather they are completely erased. Output words therefore vary in length.

I'm quite sure that this subject is well researched, and all I need is the correct search term.

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I think the term is deletion channel. As the Wikipedia article says, this "should not be confused with the binary erasure channel".

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The term you're looking for is: Binary Erasure Channel. And here's the link: Binary Erasure channel.

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  • $\begingroup$ In an erasure channel the erased bits appear as question marks, so for instance $10111$ could be corrupted to $10??1$, whereas for a deletion channel, the bits are removed entirely, so we would receive $101$. $\endgroup$
    – usul
    Commented Oct 7, 2013 at 0:14

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