Sorry I don't have any information for Linux. You don't need to have DBA studio on linux to use dba studio against a Linux based oracle database. Configure your tnsnames.ora with a service_name to linux based Oracle Database and use that service_ name when you connect to DBAStudio on windows.

Its component of Enterpraise Management(OEM) tool. You can access any database on any platform configuring repository for OEM(If you want used all the components of OEM with Job scheduler). For DBAStudio kinda stuff you don't need repository.