Post
Topic
Board Development & Technical Discussion
Re: Quick question regarding valid private keys per address
by
btchris
on 18/06/2015, 11:41:07 UTC
If those words were used as an alphabet then they would define a 2048^12 or 132 bit key space.

The word lists are instead hashed (see BIP39) which gives an approximate entropy of 2.62*4.5*12 = 141 bits.

FYI BIP-39 (and Electrum 2.x) starts with a specific amount of entropy, and then derives the words from that entropy, not the other way around as you implied. Typically, this is 128, 192, or 256 bits for 12, 18, or 24-word long mnemonics.

(and of course the hashing which follows does nothing to increase that initial entropy)