Re: Are BTC Private Keys evenly distributed in 256bit space?

Quote from: Angelo1710 on November 13, 2019, 01:52:45 PM

If we assume that there are ~2⁹⁶ private keys for EACH bitcoin address (2^256-160) and we assume that in cryptography it is considered good property of every hash function if it evenly distributes the values in its co-domain (co-domain of the SHA256 function is the domain of the RIPEMD160).

Does that means that HALF of the ~2⁹⁶ private keys is in first 2¹⁵⁹ and other HALF is in 2¹⁶⁰ - 2²⁵⁶ space?

I don't have a definitive answer, but I don't believe that it is necessary that of the 2⁹⁶ values that result in a particular hash, there are 2⁹⁵ values with bit b_k = 1 and 2⁹⁵ values with bit b_k = 0, for every k.