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36th Annual Hawaii International Conference on System Sciences (HICSS'03) - Track 7
Big Island, Hawaii
January 06-January 09
ISBN: 0-7695-1874-5
Ioannis Ioannidis, Purdue University
Ananth Grama, Purdue University
The increase in volume and sensitivity of data communicated and processed over the Internet has been accompanied by a corresponding need for e-commerce techniques in which entities can participate in a secure and anonymous fashion. Even simple arithmetic operations over a set of integers partitioned over a network require sophisticated algorithms. As a part of our earlier work, we have developed a secure protocol for computing dot products of two vectors. In this paper,we present a secure protocol for Yao?s millionaires? problem. In this problem, each of the two participat-ing parties have a number and the objective is to determine whose number is larger without disclosing any information about the numbers. This problem has direct applications in on-line bidding and auctions. Furthermore, combined with a secure dot-product, a solution to this secure multi-party computation provides necessary building blocks for such basic operations as frequent item-set generation in association rule mining.
Although an asymptotically optimal solution for the secure multiparty computation of the ?less-or-equal? predicate exists in literature, this protocol is not suited for practical applications. Here, we present a protocol which has a much simpler structure and is more efficient for numbers in ranges practically encountered in typical e-commerce applications. Furthermore, advances in cryptanalysis and the subsequent increase in key lengths for public-key cryptographic systems accentuate the advantage of the proposed protocol. We present experimental evidence demonstrating the efficiency of the proposed protocol both in terms of time and communication overhead.
Citation:
Ioannis Ioannidis, Ananth Grama, "An Efficient Protocol for Yao?s Millionaires? Problem," hicss, vol. 7, pp.205a, 36th Annual Hawaii International Conference on System Sciences (HICSS'03) - Track 7, 2003
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