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Course Description

ECC (either "error correction [or correcting] code" or "error checking and correcting") allows data that is being read or transmitted to be checked for errors and, when necessary, corrected on the fly.

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Course Syllabus
  • Mod-01 Lec-01 Course Overview & Basics
  • Mod-01 Lec-02 Example Codes and their Parameters
  • Mod-02 Lec-03 Mathematical Preliminaries: Groups
  • Mod-02 Lec-04 Subgroups and Equivalence Relations
  • Mod-02 Lec-05 Cosets, Rings & Fields
  • Mod-03 Lec-06 Vector Spaces, Linear
  • Mod-03 Lec-07 Linear Codes, & Linear independence
  • Mod-03 Lec-08 Spanning & Basis
  • Mod-04 Lec-09 The Dual Code
  • Mod-04 Lec-10 Systematic Generator Matrix
  • Mod-04 Lec-11 Minimum Distance of a Linear Code
  • Mod-05 Lec-12 Bounds on the size of a Code
  • Mod-05 Lec-13 Asymptotic Bounds
  • Mod-06 Lec-14 Standard Array Decoding
  • Mod-06 Lec-15 Performance Analysis of the SAD
  • Mod-07 Lec-16 State and Trellis
  • Mod-07 Lec-17 The Viterbi Decoder
  • Mod-07 Lec-18 Catastrophic Error Propagation
  • Mod-07 Lec-19 Path Enumeration
  • Mod-07 Lec-20 Viterbi Decoder over the AWGN Channel
  • Mod-08 Lec-21 Generalized Distributive Law
  • Mod-08 Lec-22 The MPF Problem
  • Mod-08 Lec-23 Further Examples of the MPF Problem
  • Mod-08 Lec-24 Junction Trees recap
  • Mod-08 Lec-25 Example of Junction Tree Construction
  • Mod-08 Lec-26 Message passing on the Junction tree
  • Mod-08 Lec-27 GDL Approach to Decoding Convolutional Codes
  • Mod-08 Lec-28 ML Code-Symbol Decoding of the Convolutional Code
  • Mod-09 Lec-29 LDPC Codes
  • Mod-09 Lec-30 LDPC Code Terminology
  • Mod-09 Lec-31 Gallager Decoding Algorithm A
  • Mod-09 Lec-32 BP Decoding of LDPC Codes
  • Mod-09 Lec-33 BP Decoding (Continued)
  • Mod-09 Lec-34 Density Evolution under BP decoding
  • Mod-09 Lec-35 Convergence & Concentration Theorem -- LDPC Codes
  • Mod-10 Lec-36 A Construction for Finite Fields
  • Mod-10 Lec-37 Finite Fields: A Deductive Approach
  • Mod-10 Lec-38 Deductive Approach to Finite Fields
  • Mod-10 Lec-39 Subfields of a Finite field
  • Mod-11 Lec-40 Transform Approach to Cyclic Codes
  • Mod-11 Lec-41 Estimating the Parameters of a Cyclic Code
  • Mod-11 Lec-42 Decoding Cyclic Codes

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