Hey there!

IIIT Kancheepuram does have dual degree courses in the branch of Electronics. They offer B.tech + M.teh is Electronics and communications with specialization VLSI and Communication system design. Although if you aren't getting an option to opt for that in josaa counselling it might be because they aren't taking admission in that course this year but nothing like that has been informed yet so check again and see if you can find the course.