BIP32
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Short form public addresses
Both:
P2PKH
https://en.bitcoin.it/wiki/Transaction#Pay-to-PubkeyHash
and
P2SH
https://en.bitcoin.it/wiki/Pay_to_script_hash
This is covered in BIP0016 and BIP0013, so will need to be own library.
https://github.com/bitcoin/bips/blob/master/bip-0016.mediawiki https://github.com/bitcoin/bips/blob/master/bip-0013.mediawiki