Hmm it's based on a ballistic missile which would make it a lot different the a lot of the other big anti-ship missiles that are out there. Still accuracy will be the biggest issue of all and even with the size of a carrier your trying to essentially throw something at a postage stamp from 1000 miles away. Frankly I don't see them doing it. Besides there are better ways to sink a carrier....
http://en.wikipedia.org/wiki/Type_65_torpedo
http://en.wikipedia.org/wiki/Raduga_Kh-22