Learn · Error Correcting Codes
Lecture 41 of 42Cyclic Codes
Estimating the Parameters of a Cyclic Code
Prof. P. Vijay Kumar · IISc Bangalore
Credits and licence
- From
- Error Correcting Codes, IISc Bangalore (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Teens profiles and older. How courses are placed
All the 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 Code
- 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 Codes
- 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