Lectures: Part I

1. Introduction
   
2. Elements of coding
   
   • Channel models and channel capacity
   • Achieving channel capacity with orthogonal signals
   • Channel reliability functions
3. Linear Block Codes
   
   • Generator matrix and parity check matrices
   • Some specific linear block codes
   • Cyclic codes
   • Optimum soft-decision of linear block codes
   • Hard-decision decoding
   • Comparison of performance between hard- and soft-decision decoding
   • Bounds on minimum distance of linear block codes
   • Nonbinary block codes
   • Bounds on minimum distance of linear block codes
4. Nonbinary Block Codes
   
   • Examples of nonbinary block codes
   • BCH codes
   • Reed-Solomon codes
   • Concatenated block codes
   • Interleaving of coded data for channels with burst errors

Lectures: Part II

1. Convolutional Codes
   
   • The transfer function of a convolutional code
   • Optimum decoding of convolutional codes -- The Viterbi algorithm
   • Probability of error of soft-decision decoding
   • Probability of error of hard-decision decoding
   • Distance properties of binary convolutional codes
   • Nonbinary dual-k codes
   • Concatenated codes
   • Other decoding decoding algorithms for convolutional codes
   • Practical considerations in the application of convolutional codes
2. Turbo Codes
   
   • Principles of Turbo-codes
   • Serial and parallel concatenation
   • Turbo encoding
   • Turbo decoding
   • Performance of Turbo-codes, probability of error
   • Examples of turbo codes
   • Product codes