Hidding "Full computer name"

Hey, I would usually use the search feature, but this time, I kinda duno what to look for (eg "computer name" is a bit generic I think).

Anyway, what I wanted to know, whether it is possible to hide or not send the clients computer name to other computers. Eg. when my client requests a ip from my DHCP server, on my server it can see the clients name. This name matches the "Full comptuer name" which is set in the system properties under network identification. And basically how to achieve this.

I am using Windows 2000 Pro SP4, with Outpost Pro ver.2.1.

Thank you in advance.