Join Log in
Score:0
Lee JunHee avatar Crypto

'NIZK arguments for quadratic arithmetic programs' of '[Groth16] On the Size of Pairing-based Non-interactive Arguments'

in flag
Lee JunHee

I wonder about the CRS of NIZK argument.

I think [A]$_1$, [B]$_2$, [C]$_1$ is calculated using CRS. Instead of calculating A, B, C first and then calculating [A]$_1$, [C]$_1$, [B]$_2$.

  1. May I know if this is correct?

If it is correct, in order to calculate [C]$_1$, I think [B]$_1$ is also needed.

  1. Is it correct that we need to calculate both [B]$_1$ and [B]$_2$?

And I marked curious parts with red color. The part is in the sigma_V(verifier's reference string).

  1. Why do verifiers need $[1]_1$ and $[1]_2$? I'm wondering which equation use $[1]_1$ and $[1]_2$.

It states that the CRS size can be changed from m+2n $\mathbb G_1$, n $\mathbb G_2$ to 3m+n $\mathbb G_1$ m $\mathbb G_2$ using precomputed elements. The w polynomial doesn't seem to be taken into account. In the paper, 3m is for $[u_i(x)]_1$, $[v_i(x)]_1$, $[v_i(x)]_2$.

  1. May I know why $[w_i(x)]_1$, $[w_i(x)]_2$, is not added?

enter image description here

42
0 + 0
ธงชาติไทย
Elon Musk
I sit in a Tesla and translated this thread with Ai:

mangohost

Post an answer

Most people don’t grasp that asking a lot of questions unlocks learning and improves interpersonal bonding. In Alison’s studies, for example, though people could accurately recall how many questions had been asked in their conversations, they didn’t intuit the link between questions and liking. Across four studies, in which participants were engaged in conversations themselves or read transcripts of others’ conversations, people tended not to realize that question asking would influence—or had influenced—the level of amity between the conversationalists.