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The multi-device use-case I'm imagining:
I sign up with Acme Bitcoin Security Solutions, Inc. They give me a WalletProtection public key (or bitcoin address, doesn't matter) and a unique-for-me URL. I put the address/pubkey into my bitcoin client as "Second factor off-device Send Authentication." Or something.
(ABBS also sends me the private key in the mail and tells me to keep it safe in case they go out of business)
Now I want all coins sent to me to require signatures from keys in my wallet AND the ABBS key to spend.
What bitcoin address do I give to people so that all coins going into my wallet have that property?
If it is raw CHECKMULTISIG, then I need to give out addresses containing 2 full public keys. Which would be 186 characters in base58 and look something like this:
LeFKX5Uhue9B4bVNqFouRdH9xyJ4uVksV16Gc3v5Kov6SEtyUmKmF3j582VHcmhKGEfBXvrft6SHAq4 SQPw5kbGryZj4aGqZKGFSPsotRJvrmQXCT8qZ2LZd3KyxFLDt1rsBx2uisukHPvBnyCpbyVdgNhyQYn z3Cf4oakK9Rm6oxFHwjHxHnnbdW3
Using 20-byte hashes and the more complicated 2-of-2 transaction i'm proposing, the address is a more reasonable 61 chars:
2SEe6qhJ11baZfpk9qXt3gfz3qAgFj4BMc2FXh9ojoBoLU4GAhft1hJAb5TAK