Homomorphic encryption the “Holy Grail” of cryptography

Homomorphic encryption is the cryptosystem which allows computations on encrypted data achieving the goal of protecting the privacy of data during communication and storage process. For decades' Homomorphic encryption is the Holy Grail of cryptography, nonetheless constructing algorithms and implementing methods of homomorphic encryption schemes are sophisticated. This paper clarifies the concept, categories and construction methods of Homomorphic encryption by sailing in its complicated algorithms from the starting spark of algebraically homomorphic encryption to the approach of constructing fully homomorphic encryption from SomeWhat homomorphic encryption.