I have a feeling you are trying to do something that is practically already there.
Every profile has a unique link. Here is the link for your profile: https://buddypress.org/community/members/tripvips/
You can give this link to anyone who wants to view the profile. Here “give the link” means anything you can think of: post on Facebook, post in forums, post in forum signatures, attach this link to profiles on 3rd party websites (when you post comments for instance).
If needed, you can create a banner type images for posting anywhere with the link “under” image leading to the person’s profile.
The above is basics and if you want to have different “codes” leading to the same profile, you simply need to look into things like URL cloaking/redirecting/shortening/tracking. Using these, you can have differently looking URLs, all leading to desired profile’s URL.
Did I not fully got your question, or are you trying to make things a lot more complicated than they are?
