Seeing an electronic workalike of the original Enigma machine reported on Slashdot, I wonder…
It’s certainly totally useless as it is, since you wouldn’t be encoding messages you’d transfer through paper or email. For this purpose you would probably use something like PGP/GPG - even for paper messages it works just fine by printing and scanning ASCII armored text segments.
But there is one area that I’d find a different encryption method much better - that being SMS messages. We know for a fact they get registered, most probably logged, and most probably studied. Securing SMS messages could be important for me, but most important would be being able to encode and decode them in my head. And handling all 33 letters of the cyrillic alphabet while getting encoded into the 26 letters. Distinction between uppercase and lowercase could also be used to store information.
It doesn’t have to be public-key, but it has to be strong encryption. Hmmm…

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