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Timeline for Inverting a function

Current License: CC BY-SA 4.0

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S Jun 24, 2019 at 11:34 history bounty ended CommunityBot
S Jun 24, 2019 at 11:34 history notice removed user6671
Jun 24, 2019 at 4:55 vote accept CommunityBot
Jun 24, 2019 at 1:59 answer added David White timeline score: 7
Jun 17, 2019 at 9:50 comment added user6671 @DorianoBrogioli: Of course if someone proved, that it is an owf, than he or she would solve the famous $P = NP?$ question. My question is not if this is an owf, but as you said, if the function can be inverted quickly. It could be the case that I have overlooked some algorithm which does the job, and that is why I am asking. Thanks for your comment.
Jun 17, 2019 at 9:47 comment added Doriano Brogioli I try to imagine why it is difficult to give an answer to this question. If I correctly understand, the inversion can be done (in principle) by testing all the $w$ with the correct length. So the question is if it is possible to perform the inversion with a fast algorithm, say in polynomial time. Simple solutions are not immediately clear, but this is definetly not enough to declare that this is a one-way function. I guess that this is the reason why you are not receiving answers.
Jun 17, 2019 at 9:42 comment added user6671 @InfiniteLooper: If you are interested in this, there are also some python functions which do the computation of f: orgesleka.blogspot.com/2015/09/candidate-one-way-function.html
Jun 17, 2019 at 9:41 comment added InfiniteLooper Yes, sorry but it's not clear in your question. The phrase "Compute the Lehmer-Permutation πk from k on n numbers" is really confusing.
Jun 17, 2019 at 9:38 comment added user6671 @InfiniteLooper: Yes in short, that is how the function is computed.
Jun 17, 2019 at 9:37 comment added InfiniteLooper So you mean you first take a word consisting of numbers, say $w$. Then, from $w$ you have the Lehmer encoding that gives you a permutation $\sigma$. Thirdly, you apply $\sigma$ to the ordering of your letter in your intial word $w$ ?
Jun 17, 2019 at 9:06 history edited user6671 CC BY-SA 4.0
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S Jun 17, 2019 at 9:03 history bounty started CommunityBot
S Jun 17, 2019 at 9:03 history notice added user6671 Draw attention
Jun 17, 2019 at 9:01 history edited user6671 CC BY-SA 4.0
added 126 characters in body
Jun 17, 2019 at 6:19 history edited user6671
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Jun 17, 2019 at 6:18 history undeleted user6671
Jan 15, 2018 at 9:12 history deleted user6671 via Vote
Jul 24, 2016 at 5:42 comment added Kim Morrison It's fine to post on an site after waiting a suitable amount of time. (In this case the poster waited 3 days, which I'd say is within the lower limit of reasonable times.) It's always best to provide links, as well --- thanks for adding that, @D.W.
Jul 24, 2016 at 1:53 comment added D.W. Also posted on Crypto.SE. Please do not post the same question on multiple sites. Each community should have an honest shot at answering without anybody's time being wasted.
Jun 21, 2016 at 14:15 history asked user6671 CC BY-SA 3.0