Fuller, commander of the Carl Vinson Strike Group, said ship's presence was a way to reassure allies.
The J-20 is China's answer to fifth-generation jets such as the U.S. F-22 Raptor and F-35 Joint Strike Fighter.
The Navy could begin deploying a self-piloting sea drone by the end of the year to hunt for submarines.
China called on Washington to reduce its own much larger arsenal and join in promoting regional stability.
China's involvement in the base comes as President Xi Jinping seeks to extend Beijing's economic and geopolitical clout.
"Russia and China's attempts to remake the international system pose "the central challenge to U.S. security"
A half-century after the Tet Offensive punctured American hopes of victory, Defense Secretary Mattis is visiting Vietnam.
A Navy destroyer sailed within 12 nautical miles of a contested island without getting China's permission.
Defense Secretary Jim Mattis said the era of great power competition has returned.
Countering China and an increasingly aggressive Russia are now the U.S. military's top national security priorities, Mattis s...