I would like to know the difference between the two so I can install on my laptop from security point of view and as an overall performance.This is because I am being cyber bullied on internet.I have asked question on security and superuser regarding this.
Linpus Linux is a Fedora-based distribution of Linux. A distribution is the Linux kernel plus bundled software that makes it generally useable (think file manager, command line interface, software installer etc.). Linpus was designed to be easy to use and is targeted specifically at the Asian market.
Linux is the kernel at the heart of all Linux distributions i.e. the software that sits between your software and your hardware, enabling the two to communicate.
If you're asking the question, chances are you're not yet at the level to work your way up from the kernel and few people even experts do that anyway. So, regardless of what may be wrong or right about Linpus, I would cross "Linux" off your list.
Linux distributions that are considered entry level and which may be of interest to you include Ubuntu, Linux Mint and Mageia and surely some others too.