First, you have to reach Calicut and for that, you can take a flight or train. I would suggest you take an Indigo flight from Delhi to Calicut airport. It’s a connecting flight via Mumbai and the duration is almost 5 hrs.
It's 32 km away from NIT and you can reach it either by Bus or Taxi. And it’s better to take Taxis because you will have to change the bus once you have reached Calicut city. Also, you can use the rail. It will take almost two and a half days to reach Calicut from New Delhi. NIT Calicut is 23 km which is approx 45 minutes journey from Calicut railway station. Taxis and auto-rickshaws are available to be hired at the station.
Taking a bus is the cheapest, costing only Rs 19 per adult. The bus station is just a 5-minute walk from the railway station or you can even take an auto-rickshaw to the bus station. Ola cabs also have started their service in Calicut recently.
Moreover, there is a bus stop right in front of the NIT main gate and the Taxis can take you directly to the hostel campus or the administrative building.