Key Exchange - CompTIA Security+ SY0-701 - 1.4

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A secure key exchange method is critical for real-time encryption. In this video, you'll learn how a symmetric key can be derived from a public and private key pair.
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Interviewer: What is your preferred method of out-of-band key exchange?
Me: *Reveals elaborate rube goldberg machine that ends with a carrier pidgeon*

DanWorking
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Thank you Professor Messer, your lectures are just great!

ZigZagGod
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But had he not said on one of the earlier lessons that, even though the public and private key are mathematically related, you can't derive one from the other? If so, how did two different public and private keys generate the same symmetric key? Or am I misunderstanding?

adrianguerequedelagarza