The following is a list of Open Source Learning Management Systems (LMS) that run on the Linux operating system.
Moodle
https://moodle.org/
Canvas LMS
https://github.com/instructure/canvas-lms/
Sakai
https://sakaiproject.org/
Dokeos
http://www.dokeos.com/dokeos-community-edition/
efront
http://www.efrontlearning.net
ILIAS
http://www.ilias.de/
Chamilo
http://www.chamilo.org/
ATutor
http://atutor.ca/
Claroline
http://www.claroline.net
OLAT
http://www.olat.org/
JoomlaLMS
http://www.joomlalms.com