China Defense Blog indicates the Chinese are working on the jet after the J-20!

via China Defense Blog

China's second aircraft carrier, the first one to be made domestically, was recently launched and the country is on track to field a dual-aircraft carrier strike group in a couple of years. But experts believe that the new Type 001A carrier is just the start of China as a maritime power, as the country will deploy larger and more capable domestic carriers in the coming years.
"We will definitely continue to build aircraft carriers," Li Jie, a Beijing-based navy expert, told the Global Times. "The People's Liberation Army Navy (PLAN) will have more than three in the future, so as to ensure its combat ability while conducting practice and maintenance at the same time."
It has been reported that a "larger and more capable" third carrier, dubbed the Type 002, has been under construction in Shanghai since March 2015. However, this has not been officially confirmed.
In response to Global Times' questions about this third carrier, a Ministry of National Defense publicist directed the reporter to comments made by ministry spokesman Yang Yujun.
"As to the long-term development of China's aircraft carriers, relevant authorities will take various factors into consideration in making decisions," Yang said at a press conference on December 31, 2015.
More questions about carrier were posed to Yang last month, including how many aircraft carriers China aims to have in the long term, to which he essentially reiterated his previous comments.
Li declined to say whether he believes the reports about the Type 002 but said that China will eventually build third and fourth aircraft carriers.
"I think we must have five to six aircraft carriers. It will take 20 to 30 years for the PLAN to deploy all of them and be able to conduct strike group operations," Li noted.
Projections of the future carriers
Li said the Type 002 will look different from the Liaoning, a refitted Soviet-era carrier purchased from Ukraine, and the Type 001A, which resembles the Liaoning and was launched on April 26 in Dalian Shipyard in Northeast China's Liaoning Province.
"It will look more like the U.S.' aircraft carriers, rather than Russia's," Li said, predicting that it will dispense with the ski-jumps seen on the Liaoning and Type 001A and instead adopt the steam catapults that are commonly used by the U.S. navy.
The steam catapults will enable the carrier to launch heavier aircraft much quicker, Li explained.

Story here.

What caught my eye is the graphic you see at the top of the page.

The Chinese are already working on the next gen aircraft, what we would call a generation 6th airplane?