Control who can look up you're name on Facebook?

[Maria]

is there a setting that can keep a person from not being able to find you're name on fb? i know the public doesn't see you're enlarged profile picture. but they can still see the small pic of it, is there a way of hiding that too?

[kyle]

Block the person

[Mico]

How the hell would you create a setting that could block specific random people on the net?

[Jeanne]

Only blocking is the option for you.
To block someone:
Click the account menu at the top right of any Facebook page and choose Privacy Settings.
Scroll to the Blocked People and Apps section and click Manage Blocking.
Enter the name or email address of the person you want to block and click Block. People will not be notified when you block them.
If you can’t find someone using this method, try going to the person’s timeline and selecting Report/Block This Person from the dropdown.

[Smokies Hiker]

You can't. Take a name...Robert Smith, for example. If you searched for Robert Smith on facebook, you would likely be directed to thousands of "Robert Smiths" that have a facebook account around the world! Most people have a name that is not very unique, so during any search of their name, more than just your personal name and photo would come up. The only thing you can do is not have a facebook account.

[aramayan]

You could just entirely block the person.