Richardson met his Indian counterpart Admiral Sunil Lanba and other senior officers and discussed joint exercises between the two navies amid rising Chinese influence in the Indo-Pacific region.
The plane crashed in the Pacific off the eastern coast of Aomori in northern Japan during a night training flight April 9 and went missing about half an hour after taking off from the Misawa air base.
Iranian state television and the semi-official Fars news agency similarly suggested an Iranian response loomed.
The announcement did not give any further information on the reasons for the commitment of military forces.
China currently has one aircraft carrier in service 'the Liaoning, commissioned in 2012' and the Type 001A, the first carrier built in the country, which is still being tested.
President Trump's attacks on media 'greatest threat' to democracy, says ex-Navy SEAL who killed Osama bin Laden
William McRaven's remarks on Sunday came after Trump derided the retired Navy SEAL and Special Operations commander as a "Hillary Clinton fan" and an "Obama backer".
The aircraft will take part in a joint Anti-Submarine Warfare exercise along with the Indian Navy's P-8i aircraft.
The Global Times said in an editorial today that the US was adding to tensions by sailing the Japan-based guided missile destroyers USS Mustin and USS Benfold through the 160-kilometre-wide strait.
Meanwhile, Iran's oil minister said that Chinese state-owned oil company CNPC was ready to replace Total on a major gas field project in Iran if the French energy giant pulls out.
The USS Dewey sailed "less than 12 nautical miles" from Mischief Reef, part of the the Spratly Islands, in a "freedom of navigation operation," an official said.