There are many private engineering colleges in Karnataka in which you can take admission in the computer science and engineering department. Some of the best colleges are as follows:

MIT Manipal - Manipal Institute of Technology

DSCE Bangalore - Dayananda Sagar College of Engineering

RVCE Bangalore - RV College of Engineering

MSRIT Bangalore - Ramaiah Institute of Technology

BMSCE Bangalore - BMS College of Engineering

Hope I have answered your question. All the best!