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chore: specifies minimum square size in non-interactive default rules #1420

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Feb 23, 2023
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chore: specifies minimum square size in non-interactive default rules #1420

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1 change: 1 addition & 0 deletions specs/src/rationale/message_block_layout.md
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Expand Up @@ -39,6 +39,7 @@ As a non-consensus-critical default, we can impose one additional rule on messag

> Messages start at an index that is a multiple of the message minimum square size. The message minimum square size is the smallest square that can contain the message in isolation (i.e. a square with only this message and no other transactions or messages).

In the constraint mentioned above, the number of rows/columns in the minimum square size should be a power of 2.
With the above constraint, we can compute subtree roots deterministically. In order to compute the subtree roots, split the message into chunks that are of maximum size: message minimum square size. As an example, a message of length `11` has a minimum square size of `4` because `11` is not greater than `4 * 4 = 16` total shares. Split the message into chunks of length `4, 4, 2, 1`. The resulting slices are the leaves of subtrees whose roots can be computed. These subtree roots will be present as internal nodes in the NMT of _some_ row(s).

This is similar to [Merkle Mountain Ranges](https://www.usenix.org/legacy/event/sec09/tech/full_papers/crosby.pdf), though with the largest subtree bounded by the message minimum square size rather than being unbounded.
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