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.
VS
antiX
antiX is a fast, lightweight and easy-to-install Linux live CD distribution based on Debian's "Stable" branch for x86 compatible systems. antiX offers users the "antiX Magic" in an environment suitable for old computers.