「Algebraic ECCs」: Linear Codes and Finite Fields

In this series, I will be learning Algebraic Error Correcting Codes, lectured by Mary Wootters. The lecture videos are available here. Feedback and sugguestions are always welcome! ^ - ^

Topics Covered:

  • Linear Algebra over $\{0, 1\}$

    • Generator Matrices
    • Parity-Check Matrices
  • Linear Algebra not Working over $\{0, 1, 2, 3\}$

  • Finite Fields and Linear Codes


「Algebraic ECCs」: Basics of ECCs

In this series, I will be learning Algebraic Error Correcting Codes, lectured by Mary Wootters. The lecture videos are available here. Feedback and sugguestions are always welcome! ^ - ^

Topics Covered:

  • Basic problem in coding theory
  • Code and codeword
  • Hamming distance and minimum distance
  • Rate
  • Hamming bound on trade-off of the rate and distance