[dsr_]

You two are working your ways towards defining a zero-knowledge password proof:

https://en.wikipedia.org/wiki/Zero-knowledge_password_proof

I think SRP is the most widely implemented version. https://en.wikipedia.org/wiki/Secure_Remote_Password_protoco...

[throw0101a]

Note that SRP is an older protocol, and things have moved on from there. See various PAKE algorithms:

* https://en.wikipedia.org/wiki/Password-authenticated_key_agr...