Disclosed are voting systems based on paper ballots that provide integrity of the election outcome through the novel use of encrypted votes and other techniques. In some example embodiments, holes through layers allow voters to see and mark symbols on lower layers, carbonless coatings allow voters to obtain substantially identical marks on facing surfaces, self-adhesive stickers are removed from one position and placed by voters hiding vote-revealing indicia on a second position, and scratch-off layers bearing vote-revealing indicia are destroyed while being removed to expose coded information. Simplified cryptography for realizing these systems is also presented. Related systems allow those with various disabilities to develop and check voted ballot forms that are substantially indistinguishable from those voted by other voters. Inclusion of write-in votes is provided for. Also provided are inclusion of provisional ballots and spoilt ballots and integration with registration sign-in.