Post
Topic
Board Bitcoin Discussion
Re: How to steal Satoshi's stash?
by
leopard2
on 14/03/2014, 17:06:53 UTC
Quote
brute forcing a private key being it 128bit or 256bit is impossible today it's stupid to even try, and I've already provided the math for this and we do not disagree on this, my point is, in the next few decades we will eventually reach the point where we will have enough computing power to be able to do so as happened in the past!  

No we won't.   You seem to vastly underestimate how large 10^70, 2^128, and 2^160 are.

In 40 years Moore's law has provided roughly 1*10^6 improvement in transistor density and a roughly comparable improvement in cost per unit of computing power and power per unit of computing power.  It is highly likely that Moore's law will not be sustained for another 40 years, Intel may actually slip below that "benchmark" for the first in this decade.  The cost to build smaller and smaller process nodes is increasing exponentially and the time between process nodes (which should be no more than 24 months) is slowly inching upward.  Lets not even get into the fact that there are only 8 maybe 9 process nodes before we get down to the transistors using 3 atoms a piece.  


The fact that the size of an atom is fixed, represents a natural boundary. Additional computing power will have to come from something else than increasing density.

However I do not think any of this matters to Bitcoin. Over the next years, Bitcoin will have other things to worry about. If Bitcoin is still around long term and brute forcing becomes a remote possibility, the algo could be changed, a migration to another blockchain is possible and so on.

Anyone on this forum has a much better change of having a stroke or getting hit by a bus, or Goxxed, than private keys being brute forced ...  Grin