Efficient Divisible Voting Scheme

Natsuki ISHIDA  Shin'ichiro MATSUO  Wakaha OGATA 

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences  Vol.E88-A  No.1  pp.230-238
Publication Date: 2005/01/01
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Application
Keyword: 
secure electronic voting,  homomorphic encryption, 

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Summary: 
Electronic voting is a prime application of cryptographic tools. Many researches are addressing election or confidence voting in this area. We address a new type of voting scheme "Divisible Voting Scheme," in which each voter has multiple ballots where the number of ballots can be different among the voters. This type of voting is popular. We first define the divisible voting scheme and show naive protocols based on existing voting schemes. Then we propose two efficient divisible voting schemes. The first scheme uses multisets, the second scheme uses L-adic representation of the number of ballots. The total cost for a voter is O(M 2 log (N)) in the first scheme and O(M log (N)) in the second scheme where M is the number of candidates to vote for and N is the number of ballots for a voter.