Is it working?? (Asymmetric bilinear pairing)

user104620

10/26/23, 3:11 PM

Let we have $G_1 \times G_2 \to G_t$

let $g_1 \gets G_1, \\g_{2.1} \gets G_2, \\g_{2.2} \gets G_2$

$$e(g_1^a,g_{2.1}^b) = e(g_1, g_{2.1})^{ab}$$

$$e(g_1^a,g_{2.2}^b) = e(g_1, g_{2.2})^{ab}$$

Is it working?

1 + 1

bilinear-pairing

kelalaka

10/26/23, 4:44 PM

Welcome to [cryptography.se]. Could you check the edits? and verify the answer is on the correct path.

Score:0

Crypto

poncho

10/26/23, 3:21 PM

Is it work?

Well, it's a bit hard to figure out what you mean by your notation, but in general:

$$e(g_1^a,g_{2.1}^b) = e(g_1, g_{2.2})^{ab}$$

will be true only if $g_{2.1} = g_{2.2}$ (or $a=0$ or $b=0$). As you appear to say that these will both be selected independently, this is not likely.

Or, do you mean that both these hold simultaneously:

$$e(g_1^a,g_{2.1}^b) = e(g_1, g_{2.1})^{ab}$$ $$e(g_1^a,g_{2.2}^b) = e(g_1, g_{2.2})^{ab}$$

If that's what you're asking, well, that's true.

+ 1

user104620

10/27/23, 12:55 AM

Oh yes!! Second one is my question!! Thank you very much!!

Elon Musk

I sit in a Tesla and translated this thread with Ai:

EN: Is it working?? (Asymmetric bilinear pairing)

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.