Yes, there it is. But if you are already using a custom recovery, you can install any ROM, as it does not matters if you are rooted or not.
If you still want to use your actual ROM
1.Download this: http://goo.im/devs/philz_touch/CWM_A...19.3-i9300.zip
2.Reboot to recovery
3.Flash this .zip
4.Go to Power options if you are using a CWM based recovery (like CWM, CWM Touch, Philz Touch or Devil Recovery) and choose "Reboot Recovery". If you are on TWRP, go to "Reboot" and choose "Recovery". This it will boot you into latest Philz Touch 6.19.3 recovery.
5. Now go to "Philz settings" and click "Re-root System (SuperSU)" and then "Yes - Apply SuperSu". The proccess takes like half of a second.
6. Click "+++++Go Back+++++" and then "Reboot System Now"
Now you are good to go
You can instll SuperSu from the marjet and update the binaries, even if I think this install the latest binaries.
PHONE: Samsung Galaxy S3 Garnet Red 16GB (GT-I9300)
ROM : L-DROID 2.2.0
KERNEL: Stock for now
SD: 32GB SanDisk
BATTERY: Stock 2100mAh/ Extended 4800mAh