I am aware of this post (about Moore's Law and brute-force attack). Suppose is the number of brute-force attempts, we have .
What I want to ask is the following: suppose an attacker started a brute-force attack. Can he/she increase the rate of attempts by making more attempts? In other words, is there any factor that contributes to a -term on ?
The only thing that I can think of is to perform a reverse brute-force attack. The attacker continuously performs login trials on different systems (e.g. web server). It is expected that a small portion of them uses weak passwords, so when the number of brute-force attempts increases, the attacker gains more computational power by creating a botnet (the actual gain is related to the distribution of the level of security of web servers), helping him/her to brute-force.
Any other ideas? Thanks in advance.