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Vigenère's Revenge

Another cryptology puzzle. Again, I did something like this for my summer Cryptology class, but I mad a lot of changes, going from four-letter answers (which I could come up with by hand) to seven (which necessitated a computer search) and adding some structural quirks. Of course, with a title like "Vigenère's Revenge," it seems like the puzzle ought to involve transdeletions somehow, but that would probably make things unnecessarily complicated.

Unfortunately, you will have to wait until Monday at the earliest for the Day 26 puzzle. I am on another camping trip, and I only built up enough backlog to get through Friday and Saturday. I might work on a puzzle or two while I'm away, but they won't get posted until I come back.

Puzzle: 
Solution: