It is understood that the fighter was a MiG-21 trainer aircraft.
The accident took place around 11.45 am when there was just one and a half kilometer left for reaching the rig.
The turboprop Twin Otter 9N-AET plane had four Indian nationals, two Germans and 13 Nepali passengers besides a three-member Nepali crew.
No survivors have so far been found, Hong Kong-based South China Morning Post reported on Tuesday. Boeing said it is cooperating with China Eastern Airlines to probe the crash.
Hopes to find the survivors in the thick forests in the mountainous region receded as the night fell making efforts by scores of rescuers difficult.
Gen Rawat, then a lieutenant general, two pilots and a Colonel survived the crash, which happened due to engine failure.
One of the first instances was freedom fighter Subhas Chandra Bose in 1945 in Taiwan, although there has been some controversy over his death.
The aircraft, which came down near the city of Menzelinsky, had been carrying 20 parachutists and two crew members.
They hope the Aircraft Accident Investigation Bureau’s report will not affect their compensation claims
At least 20 people, including the two pilots, were killed after an Air India Express aircraft crashed on August 7 at the Kozhikode airport.