Rhino.Inside is Rhino running as a DLL inside of another process. This technology is only available on Windows.
Compute.Rhino3d is a web server that provides geometry as a service and can be called by any platform. The web server could be installed in your local network or you can use the server(s) that we provide.
Hope that helps as this question was posted in the Rhino.Inside category and there will not be a version of Rhino.Inside for Linux. You can perform you geometry generation on Linux, but it would need to be done with these other technologies.