Where I work we have a mighty firewall which has only ports 80 (or 8080? Well, the http port) and 443 (https) open and does not allow any software to be installed on the local machine. In order to be able to connect to home I found this SSL Explorer
which should, as far as I understood, give you a java-based ssh-client which will run from the browser (of course, if you have java installed & enabled). Still have to try it out, but looks promising... .