Coding Theory Fundamentals

Error control coding plays a crucial role in ensuring reliable data transmission in every digital communication system. In this course, you will learn why errors occur during transmission due to noise, interference, and channel imperfections, and how coding techniques help detect and correct these errors. The course starts with very basic concepts such as repetition codes so that even beginners can easily build a strong understanding of the fundamentals. It then moves step by step to linear block codes and convolutional codes, explaining their structure, working principles, and practical importance. You will clearly understand how encoding is done at the transmitter and how decoding is performed at the receiver to recover the original data. Well-known codes like Hamming codes and Reed–Muller codes are explained in detail with intuitive reasoning. The course also introduces modern and powerful coding techniques such as LDPC and turbo codes, which are widely used in today’s high-speed communication systems. Throughout the course, real-world examples and applications are discussed to connect theory with practice. By the end of the course, you will gain a solid understanding of how simple codes can be combined and concatenated to create highly efficient and powerful error-correcting systems used in modern communication technologies.

Source: An Introduction to coding theory [Youtube Channel] NPTEL