Fix merkle multiproof documentation (#3928)

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Echo 2024-09-19 19:34:14 -06:00 committed by GitHub
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@ -257,7 +257,7 @@ We define a Merkle multiproof as a minimal subset of nodes in a Merkle tree need
x x . . . . x * x x . . . . x *
``` ```
. are unused nodes, * are used nodes, x are the values we are trying to prove. Notice how despite being a multiproof for 3 values, it requires only 3 auxiliary nodes, only one node more than would be required to prove a single value. Normally the efficiency gains are not quite that extreme, but the savings relative to individual Merkle proofs are still significant. As a rule of thumb, a multiproof for k nodes at the same level of an n-node tree has size `k * (n/k + log(n/k))`. . are unused nodes, * are used nodes, x are the values we are trying to prove. Notice how despite being a multiproof for 3 values, it requires only 3 auxiliary nodes, the same amount required to prove a single value. Normally the efficiency gains are not quite that extreme, but the savings relative to individual Merkle proofs are still significant. As a rule of thumb, a multiproof for k nodes at the same level of an n-node tree has size `k * (n/k + log(n/k))`.
First, we provide a method for computing the generalized indices of the auxiliary tree nodes that a proof of a given set of generalized indices will require: First, we provide a method for computing the generalized indices of the auxiliary tree nodes that a proof of a given set of generalized indices will require: