Name.com's DNS editor won't let you remove the DNS record that serves the ads. You need to switch to a real DNS provider.
CloudFlare is a free DNS provider - generally people use it to hook up the CloudFlare security and auto-CDN system, but you just need it for DNS hosting.
1 Create an account and add your domain: www.cloudflare.com
2 Disable the orange cloud icons
3 Follow the steps that tell you to switch your name servers - that makes CloudFlare your DNS provider
4 Go to "Edit DNS Settings"
5 Find the "A * (some IP)" record, and remove it
That's it. No more parker ads. DNS and name server changes can take a while to propagate to the whole web so the change can take up to an hour to affect everyone.
Edit: this is the "*" record you need to remove: http://i.imgur.com/jc48t.png