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Such quantom attacks are entirely theoretical, we are nowhere near having quantom computers brute force passwords. It is thus difficult to compare. Argon2 might be harder to implement on quantom computers but also the others are so far from being practical it seems pointless to try and compare how these would fair against a mythical adversary. In general ...


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You can use a standard signature scheme. The user will type in a password, and receive their private key and associated username. Then, to post a message, they sign the message and broadcast the message, username, and signature. Other users will convert the username to a public key and then verify the signature. This is the same way that bitcoin handles the ...


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