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Žiga MakucŽiga Makuc 

Login to Salesforce with Certificate

I would like to use my own certificates to log into Salesforce.
Idea:
User logs into a public site with a key  and then he confirms the certificate with which he will log in (key is connected to salesforce user).
He goes to another site, which requires this certificate and if it is correct, he is logged into salesforce (salesforce user).

Is this standard salesforce functionality or does it have to be implemented? If not, how can I implement this (login with certificate).