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1 vote
0 answers
44 views

Disjunctive ZK Proof of knowledge of discrete log

I want to construct a non-interactive ZK proof that in a set of pairs of group (where the DDH-assumption holds true) elements: $(g_1, Y_1), (g_2, Y_2), ..., (g_n, Y_n)$ , the prover knows at least one ...
1 vote
1 answer
125 views

Proof of knowledge of constant discrete log in the bilinear setting

Consider a pairing $\mathbb{e}: \mathbb{G}_1\times \mathbb{G}_2\longrightarrow \mathbb{G}_T$ with generators $g_1$, $g_2$ for $\mathbb{G}_1$, $\mathbb{G}_2$ respectively. The groups $\mathbb{G}_1$, $\...
4 votes
2 answers
287 views

Can zksnark prove DLP?

Can one use zksnark to prove the knowledge of a discrete logarithm? In another word, can zksnark (R1CS) encode exponentiation?