Dec 26 09:57:44 <server> sshd[2381]: Illegal user test from 203.70.28.26
Dec 26 09:57:48 <server> sshd[2381]: reverse mapping checking getaddrinfo for h26-203-70-28.seed.net.tw failed - POSSIBLE BREAKIN ATTEMPT!
Dec 26 09:57:48 <server> sshd[2381]: Failed password for illegal user test from 203.70.28.26 port 34612 ssh2
What's an "illegal user test"?
It's a user which doesn't exist on the system. Most likely a skript kiddie found the ssh port open and tried to log in as test. Everybody has those (I also have attempts to log in as george, john, backup, account, etc).
and is there anything I should be doing to ensure these aren't successful?
Make sure that all your users have good strong passwords. The system already makes sure that all users must have a password set.
If you don't use ssh, disable it.