For this reason, Bitcoin Core of private keys less prone to error, Wallet Import Format.
Although there are some optimizations in the vanity generation algorithm, the process essentially involves picking a private key at random, deriving the public key, deriving the bitcoin address, and checking to see if it matches the desired vanity pattern, repeating billions of times until a match is found. The mini private key is used for applications where space is critical, such as in QR codes and in physical bitcoins. The private keys are mathematically related to all Bitcoin addresses generated for the wallet. For example, Bob the coffee shop owner from Chapter 1 could use a multisignature address requiring 1-of-2 signatures from a key belonging to him and a key belonging to his spouse, ensuring either of them could sign to spend a transaction output locked to this address.
