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Feb 27, 2020 at 6:45 comment added Yehuda Lindell The XOR of two pseudorandom permutations is a pseudorandom function (and that's what the link shows). It says nothing about collision resistance.
Feb 27, 2020 at 5:22 comment added lyrically wicked And even the security of the XOR of two permutations cannot help to construct the desired hash function?
Feb 26, 2020 at 11:28 history edited Yehuda Lindell CC BY-SA 4.0
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Feb 26, 2020 at 11:27 comment added Yehuda Lindell You need an ideal assumption. I just noticed that this was actually in the question, so my answer is wrong. I will update.
Feb 26, 2020 at 10:24 comment added SEJPM How do sponge-based hashes fit into this picture?
Feb 26, 2020 at 10:22 history answered Yehuda Lindell CC BY-SA 4.0