Soviet carrierborne ASW was provided by the Ka-25 and Ka-27 helicopters, the Mi-14 could also be carried (I think the Moskva carried them once).
The Soviets never had a fixed wing carrier based ASW aircraft, if they were to have developed one for that large carrier they were building it might have been based on the Yak-44 AWACS aircraft.
As for the Chinese we will see. They have a E-2 copy in the works, so perhaps they might make a ASW version, but I don't see how its going to launch from a ski jump.
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