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-rw-r--r--bip-taproot.mediawiki6
1 files changed, 3 insertions, 3 deletions
diff --git a/bip-taproot.mediawiki b/bip-taproot.mediawiki
index 7b23ea9..93aefbe 100644
--- a/bip-taproot.mediawiki
+++ b/bip-taproot.mediawiki
@@ -76,7 +76,7 @@ The following rules only apply when such an output is being spent. Any other out
** For ''j'' in ''[0,1,...,m-1]'':
*** Let ''e<sub>j</sub> = c[33+32j:65+32j]''.
*** Let ''k<sub>j+1</sub> depend on whether ''k<sub>j</sub> < e<sub>j</sub>'' (lexicographically)<ref>'''Why are child elements sorted before hashing in the Merkle tree?''' By doing so, it is not necessary to reveal the left/right directions along with the hashes in revealed Merkle branches. This is possible because we do not actually care about the position of specific scripts in the tree; only that they are actually committed to.</ref>:
-**** If ''k<sub>j</sub> < e<sub>j</sub>'': ''k<sub>j+1</sub> = hash<sub>TapBranch</sub>(k<sub>j</sub> || e<sub>j</sub>)''<ref>'''Why not use a more efficient hash construction for inner Merkle nodes?''' The chosen construction does require two invocations of the SHA256 compression functions, one of which can be avoided in theory (see BIP98). However, it seems preferable to stick to constructions that can be implemented using standard cryptographic primitives, both for implementation simplicity and analyzability. If necessary, a significant part of the second compression function can be optimized out by [https://github.com/bitcoin/bitcoin/pull/13191 specialization] for 64-byte inputs.</ref>.
+**** If ''k<sub>j</sub> < e<sub>j</sub>'': ''k<sub>j+1</sub> = hash<sub>TapBranch</sub>(k<sub>j</sub> || e<sub>j</sub>)''<ref>'''Why not use a more efficient hash construction for inner Merkle nodes?''' The chosen construction does require two invocations of the SHA256 compression functions, one of which can be avoided in theory (see [https://github.com/bitcoin/bips/blob/master/bip-0098.mediawiki BIP98]). However, it seems preferable to stick to constructions that can be implemented using standard cryptographic primitives, both for implementation simplicity and analyzability. If necessary, a significant part of the second compression function can be optimized out by [https://github.com/bitcoin/bitcoin/pull/13191 specialization] for 64-byte inputs.</ref>.
**** If ''k<sub>j</sub> &ge; e<sub>j</sub>'': ''k<sub>j+1</sub> = hash<sub>TapBranch</sub>(e<sub>j</sub> || k<sub>j</sub>)''.
** Let ''t = hash<sub>TapTweak</sub>(p || k<sub>m</sub>)''.
** If ''t &ge; 0xFFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141'' (order of secp256k1), fail.
@@ -144,7 +144,7 @@ As the message for signature verification, transaction digest is ''hash<sub>TapS
The total number of bytes hashed is at most ''211'' (excluding sub-hashes such as `sha_prevouts`)<ref>'''What is the number of bytes hashed for the signature hash?''' The total size of the input to ''hash<sub>TapSighash</sub>'' (excluding the initial 64-byte hash tag) can be computed using the following formula: ''178 - is_anyonecanpay * 52 - is_none * 32 + has_annex * 32''.</ref>. Sub-hashes may be cached across signatures of the same transaction.
-In summary, the semantics of the BIP143 sighash types remain unchanged, except the following:
+In summary, the semantics of the [https://github.com/bitcoin/bips/blob/master/bip-0143.mediawiki BIP143] sighash types remain unchanged, except the following:
# The way and order of serialization is changed.<ref>'''Why is the serialization in the transaction digest changed?''' Hashes that go into the digest and the digest itself are now computed with a single SHA256 invocation instead of double SHA256. There is no expected security improvement by doubling SHA256 because this only protects against length-extension attacks against SHA256 which are not a concern for transaction digests because there is no secret data. Therefore doubling SHA256 is a waste of resources. The digest computation now follows a logical order with transaction level data first, then input data and output data. This allows to efficiently cache the transaction part of the digest across different inputs using the SHA256 midstate. Additionally, digest computation avoids unnecessary hashing as opposed to BIP143 digests in which parts may be set zero and before hashing them. Despite that, collisions are made impossible by committing to the length of the data (implicit in <code>hash_type</code> and <code>spend_type</code>) before the variable length data.</ref>
# The digest commits to the <code>scriptPubKey</code><ref>'''Why does the transaction digest commit to the <code>scriptPubKey</code>?''' This prevents lying to offline signing devices about output being spent, even when the actually executed script (<code>scriptCode</code> in BIP143) is correct. This means it's possible to compactly prove to a hardware wallet what (unused) execution paths existed.</ref>.
# If the <code>SIGHASH_ANYONECANPAY</code> flag is not set, the digest commits to the amounts of ''all'' transaction inputs.<ref>'''Why does the transaction digest commit to the amounts of all transaction inputs?''' This eliminates the possibility to lie to offline signing devices about the fee of a transaction.</ref>
@@ -299,7 +299,7 @@ Non-upgraded nodes, however, will consider all SegWit version 1 witness programs
They are strongly encouraged to upgrade in order to fully validate the new programs.
Non-upgraded wallets can receive and send bitcoin from non-upgraded and upgraded wallets using SegWit version 0 programs, traditional pay-to-pubkey-hash, etc.
-Depending on the implementation non-upgraded wallets may be able to send to Segwit version 1 programs if they support sending to BIP173 Bech32 addresses.
+Depending on the implementation non-upgraded wallets may be able to send to Segwit version 1 programs if they support sending to [https://github.com/bitcoin/bips/blob/master/bip-0173.mediawiki BIP173] Bech32 addresses.
== Acknowledgements ==