If NK is serious about sinking a US aircraft carrier what's the best way for them to do it?

Given their known resources if the NK forces determined they wanted to sink an US aircraft carrier what is their best shot at doing so using existing hardware?

I do remember several years ago a Chinese electrically powered sub popped up in the middle of US carrier fleet exercises and surprised them so it’s not like our detection abilities are infallible.

The uninvited guest: Chinese sub pops up in middle of U.S. Navy exercise, leaving military chiefs red-faced

North Korea says it is ready to strike U.S. aircraft carrier

http://boards.straightdope.com/sdmb/showthread.php?t=824615