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improvements to Multisig addresses paragraphs (#182)

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- as before "2-out-of-2" is more appropriate than "2-2" 
- "thus" is not what you wanted to express, "however" is what you wanted to say
- added missing comma
- etc
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@ -77,20 +77,20 @@ The later seem much easier to implement and have a couple of nicer properties.
However, these "eltoo" channels require a new OP_CODE in the Bitcoin scripting language and can therefore currently not be implemented on top of the Bitcoin mainnet. However, these "eltoo" channels require a new OP_CODE in the Bitcoin scripting language and can therefore currently not be implemented on top of the Bitcoin mainnet.
==== Multisig addresses ==== Multisig addresses
Payment channels are smart contracts that build on top of 2-2 multisignature addresses which will be spent by Segwit transactions. Payment channels are smart contracts that build on top of 2-out-of-2 multisignature addresses which will be spent by Segwit transactions.
By knowing the properties of multisignature addresses you will be able to understand the exact construction of payment channels. By knowing the properties of multisignature addresses you will be able to understand the exact construction of payment channels.
Thus at this point we will not review all the technical details about multisignature addresses and Segwit but just stick to the properties. However, at this point we will not review all the technical details about multisignature addresses and Segwit but just stick to the basic properties.
If you know Bitcoin so well that you are familiar with those topics feel free to skip this section. If you know Bitcoin well enough to be familiar with those topics feel free to skip this section.
[TIP] [TIP]
==== ====
A deep dive into the topic discussed here is presented in chapter 7 of Mastering Bitcoin which can be found at: https://github.com/bitcoinbook/bitcoinbook/blob/develop/ch07.asciidoc. A deep dive into the topic discussed here is presented in chapter 7 of Mastering Bitcoin which can be found at: https://github.com/bitcoinbook/bitcoinbook/blob/develop/ch07.asciidoc.
Also, in case you are not familiar with P2PKH addresses and the basic format and scripting language of Bitcoin we encourage you to study chapter 6 of Mastering Bitcoin which can be found at: https://github.com/bitcoinbook/bitcoinbook/blob/develop/ch06.asciidoc. Also, in case you are not familiar with P2PKH addresses and the basic format and scripting language of Bitcoin we encourage you to study chapter 6 of Mastering Bitcoin which can be found at: https://github.com/bitcoinbook/bitcoinbook/blob/develop/ch06.asciidoc.
There is also a video on Rene's youtube channel which dissects the Bits and Bytes of a transaction spending from a P2PKH output at: https://youtu.be/1n4g3eYX1UI There is also a video on Rene's YouTube channel which dissects the bits and bytes of a transaction spending from a P2PKH output at: https://youtu.be/1n4g3eYX1UI
==== ====
To allow escrow services and complex ownership configurations between several stakeholders, the Bitcoin scripting language provides multisignature addresses. To allow escrow services and complex ownership configurations between several stakeholders, the Bitcoin scripting language provides multisignature addresses.
The general form of a locking script setting an M-of-N multisignature condition is: The general form of a locking script setting an M--out-of-N multisignature condition is:
---- ----
M <Public Key 1> <Public Key 2> ... <Public Key N> N CHECKMULTISIG M <Public Key 1> <Public Key 2> ... <Public Key N> N CHECKMULTISIG
@ -98,7 +98,7 @@ M <Public Key 1> <Public Key 2> ... <Public Key N> N CHECKMULTISIG
where N is the total number of listed public keys and M is the threshold of required signatures to spend the output. where N is the total number of listed public keys and M is the threshold of required signatures to spend the output.
A special case which is particularly interesting for us is a locking script setting a 2-of-2 multisignature condition. A special case which is particularly interesting for us is a locking script setting a 2-out-of-2 multisignature condition.
It would look like this: It would look like this:
---- ----