Sorry for not asking the question properly, but, do I need a sublicence from LMI in order to make a Linux distro? I am not going to use the Linux name, but it will use the Linux kernel, and in its website, I will say that it is based on GNU/Linux. For this, do I need a sublicence? 
Do I need to have a sublicence from LMI for this?
linux;distributions
Probably. Their website explains the few exceptions.Note that a sublicense is free, and that if you're trying to produce a Linux distribution, there's hardly any reason for them to refuse it.