I was working on a scheme in cryptography and came up with the following scenario.
To put it in proper words.
- We have an element $\frac{1}{x+m}$.
- The 2 elements $x$ and $x_1$ are known.
- We want to transform $\frac{1}{x+m}$ to $\frac{1}{x_1+m}$. I.e, we need a $k$ such that $\frac{k}{x+m} = \frac{1}{x1+m}$.
You can consider $x, x_1, m$ to be elements of $\mathbb Z_p^\ast$. You can introduce any extra dummy variables if you want for the conversion. It'd be of great of help if you can give me an idea with this.
Thanks!