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Further, since each attempt at guessing a password that is hardened in this way requires interaction with a server, it prevents an [[offline attack]], and thus enables the user or system administrator to be alerted to any password-cracking attempt.
The recovered key may then be used for authentication (e.g. performing a [[Public_key_infrastructure|PKI-based]] authentication using a [[digital certificate]] and [[private key]], or may be used to
=== Password-Authenticated Key Exchange ===
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