To round out our coverage of the official Android 4.4 (KRT16S) updates for the Nexus line, we’ve now got Nexus 10 files for you. Should your device not have received the device over-the-air, you can always sideload it. With that said, I just turned mine on for the first time in quite a while and it automatically pulled the update. I’d say we are pretty close to a full rollout. To check, head into Setttings>About tablet>System updates.
In the links below, we’ve listed out each file with the build you are going to along with the build you are coming from.
In order to flash, you can use the “adb sideload” command through adb and the Android SDK (instructions). If you are stock with root and recovery, flashing the .zip file through recovery often times works.