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Feb 19, 2021 at 0:07 vote accept cryptobeginner
Feb 18, 2021 at 9:53 comment added Yehuda Lindell It doesn't make sense to say of the form $x\cdot G$ versus $x\cdot G + x'\cdot G'$ since all values are of the form $x\cdot G$ for some $x$. The question is one of knowledge, and yes, signatures of this form that are ZK proofs can actually guarantee knowledge.
Feb 18, 2021 at 9:34 comment added cryptobeginner Thank you -- I am curious: Given the value $P$ in the group, it is hard to find the value $x$ such that $P = x \cdot G$, right? The context is: I saw this being used to ensure that the public key is of form: $P = x \cdot G$ not say $P= x \cdot G + x' \cdot G'$, where the attacker fixes, $x, x', G'$. This strikes me as wrong intuitively, but I don't seem to find a way to generate the values $(s,e)$ to give a valid signature for this new the public key $x \cdot G + x' \cdot G'$.
Feb 18, 2021 at 6:54 history answered Yehuda Lindell CC BY-SA 4.0