Re: A truely BIJECTIVE BWT is here!
- From: Phil Carmody <thefatphil_demunged@xxxxxxxxxxx>
- Date: 13 Dec 2007 16:43:17 +0200
biject <davvid_a_scott@xxxxxxxxx> writes:
I just created what I think is the first truely bijective
BWT through my Scottification process.
My code is a mod of Marks BWT and should
function in most cases as a drop in replacement.
I call it BWTS.
my bijective BWT at:
http://bijective.dogma.net/bwts.zip
it does what BWT should have done the transform with out
an index. N bytes to N bytes with only the order changed.
I don't think anyone else has a practical working bijective
BWT transform it took a lot of trail and error to make it
so that on the average it will lead to bijective BWT compression
with out the stupid INDEX and it will lead to better compression
on the average.
I suspect this is impossible. In order to achieve an
improvement in compression, BWT needs to map less-
compressible vectors onto more-compressible vectors.
However, there are fewer of the latter. It gets away
with this by mapping multiple source vectors onto the
same output vector, and then adding an auxiliary index
such that the process is reversible. BWT as such cannot
work without that index.
Now it's entirely possible that you've created a new
transform that encourages "better compression on the
average" from the back end, but the fact that it is
better is almost certainly unrelated to a lack of an
index, and is probably harmed by that lack.
Care to outline the algorithm here?
Phil
--
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-- Microsoft voice recognition live demonstration
.
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