I keep reading all these descriptions that say John Forbes Nash Jr anticipated the P/NP problem in some letters to the NSA but other people say his conjecture was kind of obvious and basically Shannon already had it. What do you think @SteveBellovin and @mattblaze?
"the mean key computation length increases exponentially with the length of the key"
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Yeah. But when you think about it, this conjecture is basically the existence of one way functions. Unfortunately he doesn’t really capture any of the implications.
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Noam Nisan talks about this here: https://agtb.wordpress.com/2012/02/17/john-nashs-letter-to-the-nsa/ … Interestingly Godel in 1956 also talked about PvsNP in a letter to von Neumann
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And Godel’s description is only a little bit more complex than what Nash wrote.
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But then Shannon in 1949 does say a few things about complexity.pic.twitter.com/MWPTh9D7wT
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That seems like a description of security reductions in the third paragraph
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What percentage of modern cryptography could have been invented during the 1950s if all these people had been brought together in a room. I wonder what percentage *was* invented and it’s all still classified.
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Also, if someone thought to invite some number theorists into the room.
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