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Irreversibly converting user-selected passwords into authentication tokens that can be safely stored e.g. in a user database. Typically done with a salted password-based key derivation function (PBKDF), ideally with a memory-hard mixing stage to thwart brute-force attacks using parallel hardware.
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votes
How do hashes really ensure uniqueness?
Hashes, as you have observed, are not guaranteed to be unique for every input - they can't be, as they are of finite size, with potentially infinite inputs. They only "group" inputs into outputs (in t …