I am looking for some standard conversion from any hash function $f$, which has pre-image resistance, to another hash function with second preimage resistance. Is there such a standard conversion?
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Yes. I believe this is the standard conversion.
(That link is to the paper "Universal One-Way Hash Functions via Inaccessible Entropy".)
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1$\begingroup$ May you please describe what the link contains in case it goes down? $\endgroup$– SEJPMCommented Jul 26, 2015 at 13:49
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$\begingroup$ The only better description I can think of would be a summary of the abstract. $\;$ $\endgroup$– user991Commented Jul 26, 2015 at 13:54