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Their blocking mechanism is implemented as MAC address filtering and they pass your MAC address in as a url parameter at the 'login' page.
So to get unlimited wifi on Korea Rail, every time they block you simply login again with a modified MAC address parameter in the URL, eg:
http://ems.ktxinternet.net/login/?gw_address=192.168.17.1&gw_port=3553&gw_id=08-13-14&url=http%3A//google.com/&mac=XX:XX:XX:XX:XX:XX