We solve the millionaires problem in semi-trusted model with homomorphic encryption without using intermediate decryptions. This leads to computationally least expensive solution so far, a low bandwidth and very storage complexity. The number of modular multiplications needed is less than for one Pallier encryption. output protocol can be either publicly known, encrypted, or secret-shared. priv...

Abstract Block chain technology had gained popularity because of its use in crypto-currencies like bitcoin. Today uses blockchain are growing number areas banking, industries, health centers and even security IOT. Moreover, the IOT is exponentially every year with aim 5G technologies e- health, smart homes, distributed intelligence etc. but it faces challenges privacy. The privacy a user data a...