Alpine Linux
Alpine Linux is a community developed operating system designed for routers, firewalls, VPNs, VoIP boxes, containers, and servers. It was designed with security in mind; it has proactive security features like PaX and SSP that prevent security holes in the software to be exploited.
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Besgnulinux
Besgnulinux is a lightweight, desktop Linux distribution based on Debian's "stable" branch. Using the JWM window manager, it is designed to be fast, lightweight and easy to use, suitable for older and low-specification computers.