Game Design and Development

Sharath,
I'd be happy to understand your current stage of progress including academics, courses, hobbies & other interests to help you understand what in you can lead to game design & also what aspect of game design can suit you better.
In most cases a broader learning like a combination of graphics, multimedia, web design, VFX, 2d & 3d animation, can lead to a better preparation towards launching oneself into a gaming career. A specialization in Game Design is a useful addon afterwards. Just to state the facts, none of the famous game designers in the world today have done anything remotely linked to game design. That said, do not take it as a bar to entry, but to elucidate the fact that a broad learning is always necessary to get into a challenging career such as game design.
Now, let's go into the nitty gritty on Game Design. To become a Game Designer, you must get a good knowledge of 3D software as well as preproduction. Games environment is created in 3DSMax & Character animations in Maya, Only the models are made with less polygons & more textures. So take a program that teaches you these. It won't matter whether the program is called game design program or not. Rest, to become a level designer you must have a passion for game design. Also you must have passion for playing all kinds of games including card games, dice games, sports etc.
The 3rd option is Game Art (it's different from Game Designer), where you design the game itself, i.e. what happens on each level, and how things go about as well as the base story of the game. It is a stage that you reach due to your vast knowledge and passion & even exceptional technical skills cannot help you reach. This is usually the story designer. May I ask, have you ever designed a game? Finally, to do game programming you would require knowledge of programming in which usually a B.Tech/MCA would help.
Typically, game programmers usually would be knowing C#, Java, besides at least a Game Engine. Arena offers a very good Course in this regard namely AAIP where you can learn enough 3D Art and Effects for Gaming.
I wish you the best for your career. If you like this answer, you may select it as the best answer.

Hi Dubey,
Yes, you can definitely opt for game designing after BCA. Game designing is a very trending field nowadays. You should look for an institute which can provide you with this course. There is a very high demand if graphic and web designers and 2D, 3D animators in today's world. You will be provided with the diploma course as these type of courses will get you job ready in a few months and are also cost effective. Only your work is what that will be taken into the consideration during the placement.
So, I recommend you to visit a good animation institution so that you can make a bright future ahead. Also, keep in mind that the institution can assure you for the placement after the completion of your course. Some of the best institutions that I can refer you are:-