Both North Korea and the Nimitz Carrier Group (in the Pacific Ocean) lose contact with the rest of the world. They attribute this to war breaking out, and each side believes they are left alone with no help and facing the other in total war. Each side still has access to their satellites for targeting purposes, etc. Both sides can and will use all weapons available to them. Win by either total destruction or surrender. ("Total Destruction" for this means at least 80% of military forces destroyed)
N. Korea initially knows where the Nimitz Group is within 100 mile grid square. Nimitz of course has accurate mapping of N. Korea.
Nimitz group starts 2,000 miles distance from N. Korea.