How to Backdoor a Block Cipher

I have written an elementary tutorial and a first proof of concept
about how to backdoor a block cipher in a quite general setting.
Potentially it applies to any block cipher.
Success is not guaranteed though, see the paper.

ADDED 2 JAN 2019:
a new paper shows that invariants of higher degree are substantially more powerful. Instead of a progression, we have a qualitative leap in what can be now achieved: see new paper.

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