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Paillier cryptosystem
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====Electronic voting==== Semantic security is not the only consideration. There are situations under which malleability may be desirable. Secure [[electronic voting]] systems can utilize the above homomorphic properties. Consider a simple binary ("for" or "against") vote. Let ''m'' voters cast a vote of either ''1'' (for) or ''0'' (against). Each voter encrypts their choice before casting their vote. The election official takes the product of the ''m'' encrypted votes and then decrypts the result and obtains the value ''n'', which is the sum of all the votes. The election official then knows that ''n'' people voted ''for'' and ''m-n'' people voted ''against''. The role of the random ''r'' ensures that two equivalent votes will encrypt to the same value only with negligible likelihood, hence ensuring voter privacy.
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