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Edited ch04_keys.adoc with Atlas code editor

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@ -1019,7 +1019,7 @@ types of addresses to eliminate address collision attacks((("public key cryptogr
=== Bech32 Addresses === Bech32 Addresses
In 2017, the ((("public key cryptography", "bech32 addresses", "advantages of", id="pub-key-bech32-adv")))((("bech32 addresses", "advantages of", id="bech32-adv")))Bitcoin protocol was upgraded. When the upgrade is used, In 2017, the ((("public key cryptography", "bech32 addresses", "advantages of", id="pub-key-bech32-adv")))((("addresses", "bech32", "advantages of", id="address-bech32-adv")))((("bech32 addresses", "advantages of", id="bech32-adv")))Bitcoin protocol was upgraded. When the upgrade is used,
it prevents transaction it prevents transaction
identifiers (txids) from being changed without the consent of a spending identifiers (txids) from being changed without the consent of a spending
user (or a quorum of signers when multiple signatures are required). user (or a quorum of signers when multiple signatures are required).
@ -1124,11 +1124,11 @@ image::images/mbc3_0409.png["The same bech32 address QR encoded in lowercase and
and have that wallet remain able to spend to bech32 addresses for and have that wallet remain able to spend to bech32 addresses for
users of new features added in future protocol upgrades. It was users of new features added in future protocol upgrades. It was
hoped that we might never again need to go through the system-wide hoped that we might never again need to go through the system-wide
upgrade cycles necessary to allow people to fully use P2SH and((("public key cryptography", "bech32 addresses", "advantages of", startref="pub-key-bech32-adv")))((("bech32 addresses", "advantages of", startref="bech32-adv")))((("segregated witness (segwit)", startref="segwit-bech32"))) segwit. upgrade cycles necessary to allow people to fully use P2SH and((("public key cryptography", "bech32 addresses", "advantages of", startref="pub-key-bech32-adv")))((("addresses", "bech32", "advantages of", startref="address-bech32-adv")))((("bech32 addresses", "advantages of", startref="bech32-adv")))((("segregated witness (segwit)", startref="segwit-bech32"))) segwit.
==== Problems with Bech32 Addresses ==== Problems with Bech32 Addresses
Bech32 addresses((("public key cryptography", "bech32 addresses", "problems with", id="pub-key-bech32-prob")))((("bech32 addresses", "problems with", id="bech32-prob"))) would have been a success in every area except for one Bech32 addresses((("public key cryptography", "bech32 addresses", "problems with", id="pub-key-bech32-prob")))((("addresses", "bech32", "problems with", id="address-bech32-prob")))((("bech32 addresses", "problems with", id="bech32-prob"))) would have been a success in every area except for one
problem. The mathematical guarantees about their ability to detect problem. The mathematical guarantees about their ability to detect
errors only apply if the length of the address you enter into a wallet errors only apply if the length of the address you enter into a wallet
is the same length of the original address. If you add or remove any is the same length of the original address. If you add or remove any
@ -1177,11 +1177,11 @@ or 62 characters long, so someone would need to add or remove the letter "q"
from the penultimate position of a bech32 address 20 times in order to from the penultimate position of a bech32 address 20 times in order to
send money to an invalid address without a wallet being able to detect send money to an invalid address without a wallet being able to detect
it. However, it would become a problem for users in the future if it. However, it would become a problem for users in the future if
a segwit-based upgrade were ever to be ((("public key cryptography", "bech32 addresses", "problems with", startref="pub-key-bech32-prob")))((("bech32 addresses", "problems with", startref="bech32-prob")))implemented. a segwit-based upgrade were ever to be ((("public key cryptography", "bech32 addresses", "problems with", startref="pub-key-bech32-prob")))((("addresses", "bech32", "problems with", startref="address-bech32-prob")))((("bech32 addresses", "problems with", startref="bech32-prob")))implemented.
==== Bech32m ==== Bech32m
Although((("public key cryptography", "bech32 addresses", "bech32m", id="pub-key-bech32-bech32m")))((("bech32 addresses", "bech32m", id="bech32-bech32m")))((("bech32m addresses", id="bech32m"))) bech32 worked well for segwit v0, developers didn't want to Although((("public key cryptography", "bech32 addresses", "bech32m", id="pub-key-bech32-bech32m")))((("bech32 addresses", "bech32m", id="bech32-bech32m")))((("addresses", "bech32m", id="address-bech32m")))((("bech32m addresses", id="bech32m"))) bech32 worked well for segwit v0, developers didn't want to
unnecessarily constrain output sizes in later versions of segwit. unnecessarily constrain output sizes in later versions of segwit.
Without constraints, adding or removing a single "q" in a bech32 address Without constraints, adding or removing a single "q" in a bech32 address
could result in a user accidentally sending their money to an could result in a user accidentally sending their money to an
@ -1441,7 +1441,7 @@ recommend that you use the test vectors provided in BIP350. We also ask
that you ensure your code passes the test vectors related to paying future segwit that you ensure your code passes the test vectors related to paying future segwit
versions that haven't been defined yet. This will help make your versions that haven't been defined yet. This will help make your
software usable for many years to come even if you aren't able to add software usable for many years to come even if you aren't able to add
support for new Bitcoin features as soon as they become ((("public key cryptography", "bech32 addresses", "bech32m", startref="pub-key-bech32-bech32m")))((("bech32 addresses", "bech32m", startref="bech32-bech32m")))((("bech32m addresses", startref="bech32m")))((("encoding", "bech32m addresses", startref="encode-bech32m")))((("decoding", "bech32m addresses", startref="decode-bech32m")))available. support for new Bitcoin features as soon as they become ((("public key cryptography", "bech32 addresses", "bech32m", startref="pub-key-bech32-bech32m")))((("bech32 addresses", "bech32m", startref="bech32-bech32m")))((("addresses", "bech32m", startref="address-bech32m")))((("bech32m addresses", startref="bech32m")))((("encoding", "bech32m addresses", startref="encode-bech32m")))((("decoding", "bech32m addresses", startref="decode-bech32m")))available.
[[priv_formats]] [[priv_formats]]
==== Private Key Formats ==== Private Key Formats