[PerkinWarwick]

Generally, I'd say that anti-carrier strike group tactics involve simply (well, maybe not so simple) overwhelming the defenses. Quantity can work as well as quality.

You might look into Russian missile work. Of course, as a land power (and not as invested in trade as China), their answers are different.

[sudosysgen]

The answers of China and Russia are pretty similar. Use air power or submarines to locate the carrier, fire hypersonic missiles.