Posted by Daniel Edgecumbe
Feb 22, 2018/19:44 UTC
A non-interactive schnorr aggregation trick can be used to merge the S values of all graftroots and signatures in a transaction into a single aggregate. This reduces the overhead to ~32 bytes, which is the same as taproot's overhead. The published grafts are then bound to a particular transaction, which could help avoid some mistakes. However, the binding of grafts to a specific transaction might not require this aggregation. It may be possible to sign H(txid, script) instead of H(script). Its impact on aggregation is unknown.
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