Noise Management in Homomorphic Encryption Scheme: Analyzing of Algorithm

Homomorphic encryption is the Swiss army of cryptography. It allows to perform computations on encrypted data. this conjecture of processing on encrypted data was stated by [RAD78]. Until Gentry breakthrough in 2009, only partial solutions were offered. They deal with encrypted data with bounded functions in operations.Gentry raised the bound of number of operations by introducing a new method called the bootstrapping. This method allows to reduce the noise in the ciphertext and to perform more computing on it. Since Gentry's breakthrough, several improvements and several alternatives to the bootstrapping technique have been proposed to improve execution time and reduce resource consumption. This article studies the growth of noise and the noise management strategy in homomorphic encryption. It also presents the trend of hoping strategy from 2009 to 2016. Through the DGHV, it shows the management of noise on a one-bit encrypted message.