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  • $\begingroup$ There is considerably simpler when $n$ is wide; specifically, larger than about 3 times the width of $m$. Independently: if the attack scenario supposes that the attacker gets hold of several ciphertexts for the same secret but encrypted with different prefixes as assumed in this answer, that should be clarified in the question. $\endgroup$ Commented Apr 20, 2020 at 12:04
  • $\begingroup$ Correct, feel free to edit the part about a large $n$ (not the case here but good point!) $\endgroup$ Commented Apr 20, 2020 at 12:09