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Course Description

Coding theory is the study of the properties of codes and their fitness for a specific application. Codes are used for data compression, cryptography, error-correction and more recently also for network coding. Codes are studied by various scientific disciplines—such as information theory, electrical engineering, mathematics, and computer science—for the purpose of designing efficient and reliable data transmission methods. This typically involves the removal of redundancy and the correction (or detection) of errors in the transmitted data.

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Course Syllabus
  • Mod-01 Lec-01 Introduction to Linear Block Codes
  • Mod-01 Lec-02 Properties of Linear Block Codes
  • Mod-01 Lec-03 Dual of Linear Block Codes
  • Mod-01 Lec-04 Minimum Distance of Codes
  • Mod-01 Lec-05 Operations on Codes
  • Mod-01 Lec-06 Bounds on Code Parameters
  • Mod-01 Lec-07 Optimal Decoders
  • Mod-01 Lec-08 Syndrome Decoder, Basics of Finite Fields
  • Mod-01 Lec-09 Construction of Finite Fields
  • Mod-01 Lec-10 Computations in Finite Fields
  • Mod-01 Lec-11 Codes over Finite Fields, Minimal Polynomials
  • Mod-01 Lec-12 BCH Codes
  • Mod-01 Lec-13 BCH and RS Codes I
  • Mod-01 Lec-14 BCH and RS Codes II
  • Mod-01 Lec-15 Decoding BCH Codes
  • Mod-01 Lec-16 Decoding RS Codes
  • Mod-01 Lec-17 Coded Modulation and Soft Decision Decoding
  • Mod-01 Lec-18 Optimal Decoders for BPSK over AWGN
  • Mod-01 Lec-19 Bitwise MAP Decoder for BPSK over AWGN
  • Mod-01 Lec-20 Bitwise MAP Decoder from the Dual Code
  • Mod-01 Lec-21 Simulating Coded Modulation
  • Mod-01 Lec-22 Union Bound, Introduction to LDPC Codes
  • Mod-01 Lec-23 LDPC Codes
  • Mod-01 Lec-24 Message Passing, Density Evolution Analysis
  • Mod-01 Lec-25 Thresholds of LDPC Codes
  • Mod-01 Lec-26 Irregular LDPC Codes
  • Mod-01 Lec-27 Optimized Irregular LDPC Codes, Soft Message Passing Decoders
  • Mod-01 Lec-28 Density Evolution for Soft Message Passing Decoding of LDPC Codes
  • Mod-01 Lec-29 LDPC Codes in Practice
  • Mod-01 Lec-30 Introduction to Convolutional Codes
  • Mod-01 Lec-31 Viterbi Decoding of Convolutional Codes
  • Mod-01 Lec-32 Union Bound, Recursive Convolutional Encoders
  • Mod-01 Lec-33 Convolutional Codes in Practice
  • Mod-01 Lec-34 BCJR Decoder
  • Mod-01 Lec-35 BCJR and Max-Log-MAP Decoder, Introduction to Turbo Codes
  • Mod-01 Lec-36 Turbo Decoder
  • Mod-01 Lec-37 Turbo Codes in Practice
  • Mod-01 Lec-38 Modern Codes

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