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Please check this official site for all android user:  LINUXONANDROID . You can download different flavors of linux on android device. This reference link has been given by Mr. Varun Kala . Enjoy Hacking.

Kali Linux has now matured within two years, from its initial release. Kali Linux 1.1.0 has been on 7th Feb 2015, with more flexible Linux distribution, rich in security and penetration testing features on varied ARM hardware. For more please read this article  Kali Linux 1.1.0 Realeased . ISO Download: https://www.kali.org/downloads/ Kali Linux Releases: http://kali4hackers.blogspot.in/p/kali-linux-releases.html

Linux Deploy is an open source software and redistribute it under license GPLv3. It's an easy to use application that creates a disk image on the flash card, mount it and install OS distribution. You require to have a super user privilege to install linux on android phone. The best part of using this application is that the changes made on the device are reversible, i.e. the application and components can be removed completely. Installation of a distribution kit is carried out on from the official mirrors online.  Supported Languages: English and Russian Supported Distributions: Debian, Ubuntu, Arch Linux, Fedora, openSUSE, Kali Linux, Gentoo, RootFS.  Instructional Guidelines : https://github.com/meefik/linuxdeploy/wiki/_pages