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This is a survey on some topics in Lattice based cryptography and HomomorphicEncryption. In particular, we define some lattice problems, LWE and RLWE, andstate the reductions given by Regev and Peikert. We also give a full treatmentof the recent CKKS homomorphic encryption scheme and give some worked outexamples.

Lattices, Homomorphic Encryption, and CKKS