As quantum computers are being developed in earnest, research on Post Quantum Cryptography which is a next generation public key cryptosystem, is being actively carried out in an environment where existing mathematical based public key cryptosystem is threatened by the quantum algorithm proposed by Peter Shor Lattice based cryptography, Isogeny based cryptography, Code based cryptography, and Multi variate based cryptography without efficient attacks based on quantum algorithms are candidates for Post Quantum Cryptography In particular, Lattice based cryptography has the advantages in the sense that it is efficient to calculate and provides a variety of applications This Lab focuses on the study of Post Quantum public key cryptography for quantum computing environments Especially, we conduct studies on Homomorphic Encryption, Secret Sharing, Security Analysis etc along with studies on Lattice based public key cryptography which is secure and efficiently applicable in multi party environments