Not necessarily you can do it from IIT, you cannalso pursue from top NITs and CFTIs and IIITs and GFTIs as well which are of national importance and have high vakue. 

You can also gobfor private engineering colleges like Following :

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-India?f%5B0%5D=im_field_ownership%3A967&f%5B1%5D=sm_course_offered%3ASoftware%20Engineering