If the votes aren't public enough to see the ballots, how do you know if a voting district cast the correct number of votes for the number of ballots cast? How

If the votes aren't public enough to see the ballots, how do you know if a voting district cast the correct number of votes for the number of ballots cast? How do you know if the number of quadratic votes match the sum of sqrts of the individual votes? How do you check to see if anyone's cheating? If you can see the ballots, you can filter for the ones that match the cartel platform, and count to 100. There may be a voting coordination strategy to find out who cheated. Maybe instead of 100 members, you have 99, and each member votes 2 for a different issue.