Will not forget network

[bk220]

Hi all, relatively new Nexus owner (1st gen, August 2013) and have started having connectivity issues with the tablet.  Sometimes I have network connection, sometimes not.  I have tried resetting the modem and router (Linksys WRT54G) with no results.  On the tablet I can go into the wi-fi settings and click "forget", but the connection does not disappear.  I would like to disable that connection and basically start from scratch, but I can't figure out how to make it go away.  Any suggestions would be greatly appreciated.

For what it's worth, there is a laptop and xbox on the network and neither have any connectivity issues whatsoever.

[S.Prime]

Check the WiFi security settings on the WRT54G and if it is set to WEP, change it WPA2 or some other advanced setting, I have had issues with the WRT54G using WEP and Android devices. Remember you will need to change it on your Xbox and Laptop as well.