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### HM320_Indian Cities In Literature

- Course Instructor: Amishal Modi
- Student: Abhishek William
- Student: AMRIT KHANNA
- Student: bhargav pandya
- Student: achal seksaria
- Student: Swarnim Vyas
- Student: MANJEET CHAVDA
- Student: sanchit agarwal
- Student: Jayesh Bairwa
- Student: jayesh hathila

### SC 461 Coding Theory and Applications

- Teaching Assitant: Krishna Gopal Benerjee
- Course Instructor: Manish Gupta
- Course Instructor: Manoj Raut
- Student: Zubin Kapadia
- Student: Vaibhavi Desai
- Student: NITIN GARG
- Student: Ayushi Verma
- Student: aditya saini
- Student: Tarang Patel
- Student: Aiman Haider
- Student: yash gupta
- Student: Parth Dhoot
- Student: Ritu Gatiyala
- Student: Shubhanshu Gupta
- Student: Parth Parikh
- Student: Prashasti Kapadia
- Student: shashank parekh
- Student: Ashish Totla
- Student: vaibhavi sonavane
- Student: jagrut trivedi
- Student: sakshi gupta
- Student: nikhil MAHESHWARI
- Student: Achint Mehta
- Student: Devanshi Vyas
- Student: Yash Shah
- Student: Saranya KL
- Student: nutan singh
- Student: Shantanu Jain
- Student: Himani Kapoor
- Student: himank agrawal
- Student: Meghna Tolani
- Student: aenik shah
- Student: Akash Desai
- Student: Deep Moradia
- Student: Punit Mehta
- Student: kunal chawla
- Student: Rrishu Jain
- Student: Saharsh Yashlaha
- Student: SHALIN SHAH
- Student: Navneet Singh
- Student: Nilesh Suthar
- Student: dhruv jha
- Student: Sriniket Jayasimha
- Student: Kunal Doshi
- Student: Shashank Jain
- Student: saurabh tiwari
- Student: Manan Dhawan
- Student: Saagar Takhi
- Student: Anup Jain
- Student: Hardik Virani
- Student: shivam pathak
- Student: Mukesh kumar
- Student: Ekta Arora
- Student: Arkit Vora
- Student: Akshay Sista
- Student: monisha anpazhakan
- Student: Sandeep Mertia
- Student: Saurabh patel
- Student: NIKITA MANTRI
- Student: Sargam Menghani
- Student: Karan Dave
- Student: Natasha Garg
- Student: Tanmay Jindal
- Student: rahul trivedi
- Student: Shrey Sanghavi
- Student: yash shah
- Student: Aditya Paliwal
- Student: Noopur Srivastava
- Student: Nikhil Pritmani
- Student: HIMANSHU SAHOO
- Student: vijay khitoliya
- Student: Deep Gupta
- Student: Chinmay Chaudhary
- Student: krishna petlu
- Student: Utkarsh Bhatla
- Student: Kesha Shah
- Student: Gaurav Patel
- Student: Shourya Singh Gupta
- Student: ANUJ KOSAMBI
- Student: Nikit Saraf
- Student: Chinar Mehta
- Student: Aviral varshney
- Student: Mihir Raj
- Student: Aagam Shah
- Student: roshni adda
- Student: Himanshu Singhal
- Student: Keval Shah
- Student: kiran prasad
- Student: Indrajeet Bairva
- Student: rohan sharma
- Student: aditi bhatt
- Student: rajesh kumar gaur
- Student: Mrinmoy Deori
- Student: prasoon hari
- Student: Pushkar Dwivedi
- Student: Urvashi Gupta
- Student: Amit Kumar
- Student: pratik patwari
- Student: Vishnu Kumar Meena
- Student: Raj Buddhdev
- Student: Manas Roy
- Student: T.Sneha Reddy
- Student: Vandit Sheth
- Student: Akash Arwar
- Student: rishabh saxena
- Student: udit sheth
- Student: Rishiraj Singh Ranawat
- Student: satyam sharma
- Student: shashank bhushan
- Student: Maulik Lalani
- Student: Vyshaal Narayanam
- Student: Vijay Dhameliya
- Student: archit bakliwal
- Student: dhruv naik
- Student: Akshita Bhagia
- Student: bhavya bansal
- Student: Ketav Patel
- Student: Mayank Mansinghka
- Student: Amit Agarwal
- Student: dweep trivedi
- Student: Tanmay Awasthi
- Student: harsh singh
- Student: Aniruddha Mitra
- Student: Ronit Patel
- Student: Anuroop Kuppam
- Student: Naynesh Iraniya
- Student: Pavithra Iyer
- Student: vivek bothra
- Student: ankit patel
- Student: ronak kothari
- Student: Jay Mehta
- Student: Akshay Ratan
- Student: ankit chhaparwal
- Student: Amit Masani
- Student: Kumar Shrey
- Student: CHIRAG GAUR
- Student: SAURABH SINGH
- Student: Piyush Patel
- Student: Ranjan David
- Student: yognik baghel
- Student: Shanu Khoda
- Student: Arijit Basu
- Student: Sarthak Singh
- Student: Suhag Patel
- Student: Jaydeep Solanki
- Student: Harsh Nisar
- Student: Ishant Mehta
- Student: atur somani
- Student: srajan paliwal
- Student: sanket Jain
- Student: Vandit Patel
- Student: Siddharth Vadnagara
- Student: kanika mehta
- Student: vinit pandey

In last 50 years Information and Communication Technology (ICT) has had a great impact on our society. The most profound and accelerated impact of ICT can be seen in the last decade in the form of cell phones, connected computers and Internet. We even have a virtual currency. ICT is an interdisciplinary discipline combining IT (Information Technology) and CT (Communication Technology). IT has its root in computer science and CT has its root in theory of communication. Both the fields now can be seen as two sides of the same coin. Both deals with information, in IT we store (send information from now to then) and manipulate the information and in CT we send information from here to there (communicate). The mathematical principles of ICT lie in theoretical computer science (Turing machine) and information and coding theory (work of Shannon and Hamming). Realization of ICT is via logic gates and circuits giving birth to the area of Electronics and VLSI.

Coding theory is at the heart of ICT with roots in mathematics, origin in electrical engineering and applications to computer science. Whenever you want to send information from one point to other point (communication) or send information from now to then (storage) you require error-correcting codes. Richard W. Hamming created first error-control codes in 1947 (published in 1949) out of frustration when he was working on Bell Model V computers. Every weekend the machine use to stop because of errors and Hamming said, "Why a computer can not detect and correct the errors itself". This resulted in his invention of Hamming codes that can correct single bit error.

Around the same time in 1948 Shannon published the famous paper on Information theory "A Mathematical Theory of Communication". Information theory answers two fundamental questions about digital information viz. how much you can compress the digital information? (Answer: The Entropy H) and what is the ultimate transmission rate of digital communication (Answer: The Channel Capacity C). While information theory sets the bounds of data storage, communication etc. Coding theory tells us how to achieve these limits. It is more about algorithm and construction of codes. Thus there are two aspects of coding theory: source coding (for data compression) and channel coding (error correction). We will be focusing more on error correction. Information theory is an interdisciplinary field with connections to Statistical physics (thermodynamics), Computer science (Kolmogorov Complexity: complexity of a string of data is the length of the shortest binary program for computing the string), Communications, Economics, Networks and even to Biology and Chemistry.

Error control coding (ECC) was known before Hamming but very efficient codes were not known and it was after Hamming's discovery it has become a field of research for mathematicians, computer scientist, electrical engineers for about 50 years now. In fact Von Neumann wrote that error control is an integral part of every information processing. So whenever there is information processing, there is error control coding. We can see now its importance in new computing paradigms such as quantum computers, bio- molecular computers. Network coding is another area that is emerging for all kind of networks. Many new applications of coding theory have emerged such as to Cloud computing (Cloud Data Storage and Cloud Security). All ICT applications uses some form of coding from CD/DVD, hard disk data storage, deep space communications, wireless communications, power line communications, cell phones, networks, sensor networks, data compressions, VLSI etc. Applications are endless. Now even people are trying to decipher what kind of error control coding is used in biological information processing? This is the greatest challenge for the ICT in 21st century. We ourselves use a crude form of error control coding in our day-to-day conversation between us (without knowing that it is ECC): Can you guess how? In almost 50 years error control coding has found many deep connections with diverse areas such as the theory of computation, complexity, algorithms, algebra (finite fields and finite rings), linear algebra, cryptography, number theory, algebraic geometry, discrete mathematics and statistical physics. In this course we will study the basics of coding theory with main focus on codes, which are optimal in the sense Shannon's results and various bounds.

More in the course. So fasten your seatbelt.

This course is designed for 3rd year BTech and open to MTech students and PhD Students. Those who have missed the boat from 4th year BTech can also take this course.