'Vector Spaces, Linear Independence and Basis' Video Lecture

Vector Spaces, Linear Independence and Basis

  • Course: Error Correcting Codes
  • Discipline: Electronics and Communication Engineering
  • Faculty: Prof. P. Vijay Kumar
  • Institute: IISc Bangalore

    • NEXT LECTURE >> Linear Codes, & Linear independence
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    Course Video Lectures Course Overview & Basics Example Codes and their Parameters Mathematical Preliminaries: Groups Subgroups and Equivalence Relations Cosets, Rings & Fields Vector Spaces, Linear Independence and Basis Linear Codes, & Linear independence Spanning & Basis The Dual Code Systematic Generator Matrix Minimum Distance of a Linear Code Bounds on the size of a Code Asymptotic Bounds Standard Array Decoding Performance Analysis of the SAD State and Trellis The Viterbi Decoder Catastrophic Error Propagation Path Enumeration Viterbi Decoder over the AWGN Channel Generalized Distributive Law The MPF Problem Further Examples of the MPF Problem Junction Trees Example of Junction Tree Construction Message passing on the Junction tree GDL Approach to Decoding Convolutional Codes ML Code-Symbol Decoding of the Convolutional .. LDPC Codes LDPC Code Terminology Gallager Decoding Algorithm A BP Decoding of LDPC Codes BP Decoding (Continued) Density Evolution under BP decoding Convergence & Concentration Theorem – LDPC Co.. A Construction for Finite Fields Finite Fields: A Deductive Approach Deductive Approach to Finite Fields Subfields of a Finite field Transform Approach to Cyclic Codes Estimating the Parameters of a Cyclic Code Decoding Cyclic Codes
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