I have scanned my network with nmap.
Host is up (0.000047s latency).
Not shown: 1995 closed ports
PORT STATE SERVICE
25/tcp open smtp
68/udp open|filtered dhcpc
631/udp open|filtered ipp
5353/udp open|filtered zeroconf
5355/udp open|filtered llmnr
with sudo /etc/init.d/zeroconf disable I don't get anything.
With gufw I have created the rules to close ports 5353 and 5355 but they are still open.
What I can do?
I would recommend you to use the following firewall.
UFW (Uncomplicated Firewall)
It is the one I use and it has worked correctly for me, and easy to use.
Facility:
Turn on event logging
Enable access via SSH
Activate the firewall
Check the status of the firewall
Block ports 5353 and 5355
I leave you a link so you can verify a little more about its use. UFW Walkthrough