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From: Pieter Wuille <pieter.wuille@gmail.com>
To: Mike Hearn <mike@plan99.net>
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Subject: Re: [Bitcoin-development] Draft BIP for Bloom filtering
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On Wed, Oct 24, 2012 at 06:35:08PM +0200, Mike Hearn wrote:
> > * what does "each hash and key in the output script" mean exactly? what
> about the output script in its entirety?
>
> It's an informal way to say data elements. If you insert a key then it
> matches both single and multi sig outputs regardless of location.
So all data push operations? Including or excluding 1-byte constants?
What about the entire output script? (if I want to match just one particular multisig output script)
>
> > * is sharing parts of the merkle branches not worth it?
>
> We think probably not.
I'm not sure. As soon as you have 129 transactions in a block (including coinbase), you need 8 path
entries for each included transaction, which requires more bytes than the transaction itself.
When you're including M out of N transactions of a block, you never need more than N-M path entries
in total to reconstruct the merkle root. With the proposed format, it requires M*ceil(log2(N)).
For a 1000-transaction block, when matching ~everything, you need >300 KiB of overhead, while almost
nothing is required.
--
Pieter
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