After completing Bachelor of Technology in Electronics and Communication You can apply for the entrance examination of following government companies:

Bharat Sanchar Nigam Limited

Bharat Electronics Limited

Bharat Electricals Limited

Oil and Natural Gas Corporation Ltd

Steel Authority of India Limited

Mahanagar Telephone Nigam Limited

Indian Space Research Organisation

Indian Oil Corporation

As on 8 August 2014 following jobs are available for the ECE students in various fields:

Faculty - ECE School of Engineering (2 - 7 yrs)
Amrita university

Senior Design Engineer , FPGA (4 - 8 yrs)
Cerium Systems

Lead Verification Engineer / Senior Verification Engineer (3 - 8 yrs)
Cerium Systems

Electrical Component (2 - 5 yrs)
Geometric Ltd

Electrical Component (2 - 5 yrs)
Geometric Ltd