# Questions tagged [bilinear-pairing]

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### pairings and clifford algebra connection

Pairing notation seems to suggest that bilinear pairings could be related to Clifford Algebra (ie: Geometric Algebra); and we only have an odd choice of notation that hides this fact. For example, if ...
233 views

### What is a function on a Line or a Curve?

I am reading up on Pairings using Elliptic curves & all the texts talk about functions on a Curve. I am finding it difficult to even figure out what they mean by "function on a curve" or ...
20 views

### Can I map a message M to a target group of bilinear pairs

Consider a bilinear pairing $e(G_1,G_2)=G_T$, let $G_1,G_2,G_T$ be multiplicative cyclic groups of order p. If I have a message $m$, can I map $m$ to $G_T$, and encrypt $m$ as $m \times G_T$?
41 views

### Multiplication of pairings vs. exponentiation of the group elements

Assume that we have a pairing as $e:G_1\times G_2\rightarrow G_T$. such that $g_1$ and $g_2$ are the generator of $G_1$ and $G_2$ respectively. In a protocol I have $A=\prod_{i=1}^n e(H(i),pk_i)$ ...
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