Here are some of the colleges for M.Sc Computer science near by Tamilnadu which you can also prefer given below-

Sathyabama Institute of Science and Technology, Chennai

PSG College of Arts and Science, Coimbatore

Bharathiar University, Coimbatore

University of Madras,Chepauk, Chennai

Bharath Institute of Higher Education and Research, Selaiyur, Chennai etc.

Good Luck!