At any moment I have almost a thousand connections from / to my network attached storage (NAS), it's from D-Link (DNS-320) from unknown outside IPs.
I have a home network, everything sitting behind a Linksys router with a DD-WRT installed on it (here I see these connections). You can see the output here: https://gist.github.com/4622671.
There probably would be many more connections, but the modem only allows so many. Unfortunately, they all use a different port (otherwise I'd just block that one). Because of all of this, my internet is very slow (connections are saturated).
What can I do? I would ideally like to block them.