Quote from: pooya87 on June 14, 2024, 02:57:17 AM

So what exactly is your question here?

Just curiosity

Quote

Seed is different from "seed phrase". Seed is the entropy entered into a KDF to derive a "tree of keys". Seed phrase is a set of words that represent that seed.
Bitcoin core still doesn't use any seed phrases (BIP39, etc.) algorithm.

Yes, I'm aware of that. Seed is actually a hexadecimal combination whereas BIP39 takes this set and encodes them in word/mnemonic form.

Quote

The universe would end before you can generate that many keys.

Yes, that reminds me how incredible this topic about entropy is, so many things are possible with encryption algorithms.[/quote]

Quote from: Forsyth Jones on June 13, 2024, 11:40:35 PM

I know it is possible for two xpriv to generate the same addresses

See this example, I gen a wallet for testing:
BIP39 example mnemonic:

Code:

enemy sport sock wink gentle tooth expose damage tube opera trash ball

This is the bip32 root key:

Code:

xprv9s21ZrQH143K2fVBZn1X9FGXH8WYN2Kb6i4dohJiKBTJ9iAhK83bcfhB5HXEKE9PuNzQbPcYMFHfn62yH1DUNudBdxPgNRnS1w4yuUH2pvc

I will use the BIP84 derivation path for this example, the same applies to the standard BIP39 derivation paths, this bip32 root key generates this set of addresses in BIP84:

In Account Extended Private Key we have an xpriv that specifically derives this same set of addresses, but at the account level:

Account Extended Private Key:

Code:

zprvAe77Vi8i8ATMyvWQ29w7T42ZgWvfXBUwviQMyp493WSjgKjcESdEnLE5LLR5UQg4GfjfYzMBZszFLjpeUYdGANjGRQqsv8B2FwpfewJt9KP

Same Account Extended Private Key in a Legacy Format:

Code:

xprv9zSatNnspoNQHL8AMSMs2sqZLadmdwVx6VMvR2GNHVgya879j8J7YCuoHvVuUbNDTPW443A4eZH9aAbX39oEZuN4gjT2kJY3iVhNsjp1ygu

I took this Account Extended Private Key and put it in the BIP32 Root Key field, I changed to the BIP141 tab and selected the P2WPKH type for the bech32 addresses, it resulted in the same set of addresses as that BIP32 root key:

What I get is that the BIP32 root key is for an entire set of addresses in a standard wallet, while the Account Extended Private Key is for the account level.

Two xprivs are capable of generating the same set of addresses, thanks to mathematics and cryptography.