if you want to study in a government funded institution and that to IIIT the IIIT Jabalpur but you have to take into account that all IIIT are not of same standard like hyd and Bangalore...I personally know CSE is one of the top streams in BIT Mesra.BIT has a good alumni network as it's founded in 1955 and has good brand value internationally .The faculty and infrastructure is of top notch for computer science.The placements are good with lots of blue chip companies coming for campus with a good package.

Hope it helps!!