Layer 2, Dlc, Bitcoin.
transaction. The Oracle computes the commitment $R:=k ⋅ G$ and then calculates S and S′ $S:=R-hash(OddNumber, R) ⋅ Z,$ $S’:=R-hash(EvenNumber, R) ⋅ Z$ and broadcasts (R, S, S′). Alice and Bob each compute the corresponding new public key $PK^{Alice}:=X+ S,$ $PK^{Bob}:=Y+ S’.$ Settlement: After the