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[trivial] Correct typos across bips
BIPs 11, 16, 61, 98, 116, 117, 143, 157
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@@ -57,8 +57,8 @@ The following image depicts an example unbalanced hash-tree:
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'''A''', '''B''', and '''C''' are leaf labels, 32-byte double-SHA256 hashes of the data associated with the leaf.
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'''Node''' and '''Root''' are inner nodes, whose labels are fast-SHA256 (defined below) hashes of their respective children's labels.
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'''Node''' is labelled with the fast-SHA256 hash of the concatination of '''B''' and '''C'''.
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'''Root''' is labelled with the fast-SHA256 hash of the concatination of '''A''' and '''Node''', and is the ''Merkle root'' of the tree.
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'''Node''' is labelled with the fast-SHA256 hash of the concatenation of '''B''' and '''C'''.
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'''Root''' is labelled with the fast-SHA256 hash of the concatenation of '''A''' and '''Node''', and is the ''Merkle root'' of the tree.
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Nodes with single children are not allowed.
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The ''double-SHA256'' cryptographic hash function takes an arbitrary-length data as input and produces a 32-byte hash by running the data through the SHA-256 hash function as specified in FIPS 180-4[3], and then running the same hash function again on the 32-byte result, as a protection against length-extension attacks.
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@@ -96,7 +96,7 @@ The application of fast-SHA256 to inner node label updates is safe in this limit
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so the sorts of attacks prevented by message padding and double-hashing do not apply.
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The 'initialization vector' for fast-SHA256 is changed in order to prevent a category of attacks on higher level protocols where a partial collision can serve as both a leaf hash and as an inner node commitment to another leaf hash.
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The IV is computed using standard SHA-256 plus midstate extraction so as to preserve compatability with cryptographic library interfaces that do not support custom IVs, at the cost of a 2x performance hit if neither custom IVs nor resuming from midstate are supported.
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The IV is computed using standard SHA-256 plus midstate extraction so as to preserve compatibility with cryptographic library interfaces that do not support custom IVs, at the cost of a 2x performance hit if neither custom IVs nor resuming from midstate are supported.
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The data hashed is a nothing-up-my-sleeve number that is unlikely to have a known hash preimage.
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The prime 23 was chosen as the leading fractional bits of the first eight (8) primes, two (2) through nineteen (19), are constants used in the setup of SHA-256 itself.
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Using the next prime in sequence reduces the likelihood of introducing weakness due to reuse of a constant factor.
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