Compression of random binary data

Gregory Ewing greg.ewing at canterbury.ac.nz
Tue Oct 24 02:20:14 EDT 2017


danceswithnumbers at gmail.com wrote:
> I did that quite a while ago. 352,954 kb.

Are you sure? Does that include the size of all the
code, lookup tables, etc. needed to decompress it?

But even if you have, you haven't disproved the theorem about
compressing random data. All you have is a program that
compresses *that particular* sequence of a million digits.

To disprove the theorem, you would need to exhibit an
algorithm that can compress *any* sequence of a million
digits to less than 415,241 bytes.

-- 
Greg



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