Capable of conducting long patrols in blue water conditions without having to constantly rely on a nearby fleet.
For peacetime patrols, such a Frigate wouldn't even need 32 SAMs
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In a low-intensity conflict, 32 SAMs is fine.
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In a high-intensity conflict, unless that Frigate has air cover, it will likely get sunk. The side with air power will be able to overwhelm the Frigate (or indeed, any surface ship) with repeated attacks.
For at least the next 10 years, China will be at a significant disadvantage in terms of naval aviation from aircraft carriers.
So if Chinese naval ships go past the 2IC, they will likely get sunk quickly because it is beyond support from the Chinese Air Force and Chinese Rocket Force.
That means Chinese Frigates will predominantly operate within the 2IC, and it's only a 3 day journey to cover the 3000km distance from China to Guam for example. And remember most operating locations will be closer.
Within the 2IC, there will be a lot of destroyers which are designed with long-range air defence, which are better suited to independent operations.
So where does that leave a future frigate design? Focusing as a low-cost ASW platform, whilst also having sufficient AAW to protect itself and nearby ships