Originally posted by hell_carnage
dhcpcd is a DHCP client ... not a server.
Anway, What you are trying to ping is actually a NetBIOS name. For that you want to set up Samba.
Actually, dhclient is the client, dhcpd is the server. Apparently to do the ping I have to setup samba (which I'm doing now) although I did want the AP to know the hostname of the Linux client.