A number-theoretic based algorithm provides for secure receipt- free voting. A vote generating center generates a choice of votes for each voter or vote chooser. The votes are encrypted, shuffled, and conveyed to a vote chooser along with information regarding how the votes were shuffled without being intercepted en route. The information is preferably sent along untappable secure channels. The method can incorporate validation of generation and shuffling of the votes using chameleon commitment and interactive proofs. The invention can be realized by current-generation personal computers with untappable channels and access to an electronic bulletin board.
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