Cryptology ePrint Archive: Report 2005/043

An Efficient Solution to The Millionaires' Problem Based on Homomorphic Encryption

Hsiao-Ying Lin and Wen-Guey Tzeng

Abstract: We proposed a two-round protocol for solving the Millionaires' Problem in the setting of semi-honest parties. Our protocol uses either multiplicative or additive homomorphic encryptions. Previously proposed protocols used additive or XOR homomorphic encryption schemes only. The computation and communication costs of our protocol are in the same asymptotic order as those of the other efficient protocols. Nevertheless, since multiplicative homomorphic encryption scheme is more efficient than an additive one practically, our construction saves computation time and communication bandwidth in practicality.

Category / Keywords: secure computation, the greater than problem, the socialist millionaires' problem, homomorphic encryption

Publication Info: This work appears in ACNS 2005.

Date: received 17 Feb 2005, last revised 20 Feb 2006

Contact author: lrain cis92g at nctu edu tw

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Version: 20060221:010520 (All versions of this report)

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