Dear Aspirant,

The possibility of getting a good government job after computer engineering is less as in our country very few government companies required trained computer professionals. However, for ECE that is electronic and communication engineering, plenty of jobs are there in government sector. The main recruiters are BHEL, HEL, ISRO, DRDO, etc. 

To get into these PSUs you have to give GATE exam and get a two figure rank if you are general category student.

Note: Although there are no government jobs in computer engineering, there are a huge number of jobs in private sector for computer engineering.

Hope this helps.

Thank you.