Algorithm that makes maximum compression of completly diffused data.
jonas.thornvall at gmail.com
jonas.thornvall at gmail.com
Mon Nov 4 14:53:28 CET 2013
Den lördagen den 2:e november 2013 kl. 22:31:09 UTC+1 skrev Tim Roberts:
> jonas.thornvall at gmail.com wrote:
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> >
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> >Well then i have news for you.
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>
>
> Well, then, why don't you share it?
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>
>
> Let me try to get you to understand WHY what you say is impossible. Let's
>
> say you do have a function f(x) that can produce a compressed output y for
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> any given x, such that y is always smaller than x. If that were true, then
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> I could call f() recursively:
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> f(f(...f(f(f(f(f(x)))))...))
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> and eventually the result get down to a single bit. I hope it is clear
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> that there's no way to restore a single bit back into different source
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> texts.
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>
>
> Here's another way to look at it. If f(x) is smaller than x for every x,
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> that means there MUST me multiple values of x that produce the same f(x).
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> Do you see? If x is three bits and f(x) is two bits, that means there are
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> 8 possible values for x but only 4 values for f(x). So, given an f(x), you
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> cannot tell which value of x it came from. You have lost information.
>
> --
>
> Tim Roberts, timr at probo.com
>
> Providenza & Boekelheide, Inc.
Well let me try to explain why it is working and i have implemented one.
I only need to refresh my memory it was almost 15 years ago.
This is not the solution but this is why it is working.
65536=256^2=16^4=***4^8***=2^16
Yes i am aware that 256 is a single byte 8 bits, but the approach is valid anyway.
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