BITS started in 1929 as Birla Engineering College(BEC) , under the University of Rajasthan , and was one of the TOP colleges in India before Independence.In 1964 it was made BITS-Pilani , a deemed university and was still among the best.And mind you , back then , there was no concept of media and publicity the way we have today.
BITS is completely private and Govt. unaided.