Abstract
We solve the millionaires problem in the semi-trusted model with homomorphic encryption without using intermediate decryptions. This leads to the computationally least expensive solution with homomorphic encryption so far, with a low bandwidth and very low storage complexity. The number of modular multiplications needed is less than the number of modular multiplications needed for one Pallier encryption. The output of the protocol can be either publicly known, encrypted, or secret-shared. The private input of the first player is computationally secure towards the second player, and the private input of the second player is even unconditionally secure towards the first player. We also introduce an efficient client-server solution for the millionaires problem with similar security properties.
Highlights
IntroductionIn its most general setting, there are multiple parties, each having private inputs, and they want to jointly evaluate a certain function on their inputs, without revealing those inputs
Is even less than the number of modular multiplications needed for the Pallier encryption of an (` < N) bit number: 5l + 5 log2 N [4]
We described a new protocol for the millionaires problem using additively homomorphic encryption in the honest-but-curious model
Summary
In its most general setting, there are multiple parties, each having private inputs, and they want to jointly evaluate a certain function on their inputs, without revealing those inputs These cryptographic solutions achieve a high level of security, the challenge is often to restrict their computational and communication effort. Other applications are neural network classification for e-health, biometric matching, watermark detection, fingerprinting for DRM, and smartgrids [1] Within all those applications, there is clear need for a secure comparison protocol as a building block [1]. We present a new comparison protocol, which is dedicated to lightweight environments that require little memory and a low computational effort.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
