i read about logging into remote systems using ssh without entering password; and i've established in my system and is working pretty awesome.
now the problem occurs when it comes to a local network, where several systems are present, to anyone of which i can log in (where my account is mounted from another file server). the range of ips for them is 10.10.6.1-50.
after logging into anyone of these systems i need to log in to another remote system (which is in the lab, ip = 10.10.7.80, where the user id is different). so when i try to log in to the lab system from any of these 50 systems, it is implied that i need to export the public keys from all of those 50 systems (which, of course, is a tedious thing to do). so, can i fix this using the ip range? (other than copying and pasting the ids for all the 50 systems to 'authorized keys') if so, how?
ps: i don't have the sudo permissions.