Samsung Galaxy S 3 LTE (Korea KTF) SHV-E210K Firmware Overview
What is the latest SHV-E210K firmware?
E210KKTUKOL2, released December 15, 2015 with Android 4.4.4. The archive holds 3 official builds across 1 region (CSC). Each one is the full stock ROM (flash file) for Odin, not an OTA patch.
Is the Samsung Galaxy S 3 LTE (Korea KTF) still getting updates?
Most likely not: there has been no new firmware since December 2015, so Android 4.4.4 is the last version this model got. The final builds below are still the best choice for a clean reinstall.
All SHV-E210K firmware builds
How to Flash SHV-E210K Firmware
Put the Samsung Galaxy S 3 LTE (Korea KTF) into Download Mode, load the BL, AP, CP and CSC files into Odin on a Windows PC and press Start. Use HOME_CSC to keep your data, CSC for a full wipe.