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Is the following statement correct? Let $F$ be a OWP. Then the inverse $F^{-1}$ of $F$ is also a OWP.

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In general, unless the OWP also happens to be a trapdoor permutation, there is no way to efficiently evaluate the inverse. So, no.

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  • $\begingroup$ Thanks for answering, how can i proof like these statements? $\endgroup$ – stefane Jul 10 at 17:21
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    $\begingroup$ Well, if the inverse were efficiently publicly computable, then the permutation $F$ would not be one-way. If it were only computable given some kind of additional information then $F$ would be a TDP. $\endgroup$ – Maeher Jul 10 at 17:47

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