I have heard that there is one paradigm of Public key cryptosystem, called Lattice based crytography. Further, its security claims are such that it will not be affected even if the quantum computers are available.
Would any one be kind enough to help me to understand the basic philosophy behind it, with examples?
EDIT As stated in comments, I don't any complete, state-of-the-art scenario of this system. I am only interested to know what are the basic pillars that constitute it. I mean, there has to be something like complicated non-linear operations, or finding prime factor(s) of a large number etc.