There's a pretty easy way to solve this. Give everyone a random ID/password combination (in an unmarked envelope, so no one knows who got what). To vote, you

There's a pretty easy way to solve this. Give everyone a random ID/password combination (in an unmarked envelope, so no one knows who got what). To vote, you connect to the system, either through a website or even an old, DTMF-based phone system for rular areas, and you cast your vote. After voting ends, a list of all IDs and their votes is published. If an ID didn't vote, it's marked appropriately. There should be lots of separate lists, perhaps one per street/district/village, depending on population density. That way, it would be hard to add fake IDs, while still maintaining voter anonymity. The system is easy for anyone to understand, works on paper as well as electronically, doesn't require complicated cryptographic implementations which might contain bugs, and is much easier to reason about, write and audit. The only drawback is the ability to prove who you voted for, perhaps with a photo, but all current mail-in-voting systems and some in-person-voting system suffer from that problem too, and bribing voters isn't really that much of a problem.