Secrecy can be violated with the current simple X voting method if there are
multiple offices on the ballot.  The corrupted voter would vote for the false
choice for an important office/issue along with some obscure combination (such
as for judicial candidates who have no chance of winning against an incumbent
judge).

Thus, to some extent, so what ?  Are majorities going to elect (even if some
of the voters have been corrupted into voting for a winner) ?  The corrupted
voters will generally have to pay the consequences of voting for a possibly
false winner.  

It takes 2 or more for conspiracies with tendencies for 1 of the criminals to
spill his/her guts under pressure.  Note the Bill- Monica result.

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