approximate data flow diagram of the ieee 802.11 #WPA3 SAE handshake
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this is a protocol that is designed to allow two entities to confirm they are thinking of the same passphrase and simultaneously construct a shared secret key, basically a zero knowledge proof combined with a diffie-hellman style key exchange
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it also permits each party only one guess per iteration of the protocol
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when finished, the PMK is just passed into the extant WPA2 machinery; the upgrades around WPA3 are just this handshake plus constraints like "you must not use WPA1 ciphering"
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text/gemini