I have been trying to understand the ROCKROCA attack described here as the "First Attack" and I cannot follow the explaination.
I have been trying to generate a 512-bits key and crack it. As far as I can understand, p$p$ and q$q$ are 65537^a mod L$65537^a \bmod L$ where a$a$ is random and L = 2357..P$L = 2\cdot3\cdot5\cdot7\cdot\dots$. If at one point, I find out what p$p$ or q$q$ is, than I can find the other one easily and then compute the private key.
Is this correct? I am sorry if I do not make any sense and any hint to the right solution is greatly appreciated.