The method employs interrelated cryptographic processes and protocols to provide reliability to vote casting, ballots recount, and verification of vote or poll results. These cryptographic processes and protocols jointly constitute a cryptographic voting scheme capable of meeting the specific reliability requirements of an electronic voting where voters remotely cast their votes. These reliability requirements include voter authentication and privacy; accurate results, the impossibility of coercion and sale of votes, verifying the final results and, if necessary, the secrecy of intermediate results before completing the vote or poll. The cryptographic voting method minimizes the confidence level to be placed on any of the electronic voting individual party and participants.