Coding_Theory_Algorithms,_Architectures,_and_Applications

 This Book

 Communication Systems 

Information Theory 

 Entropy 

 Channel Capacity 

 Binary Symmetric Channel

 AWGN Channel 

 A Simple Channel Code

Algebraic Coding Theory 13

 Fundamentals of Block Codes 

 Code Parameters 

 Maximum Likelihood Decoding 

 Binary Symmetric Channel

 Error Detection and Error Correction

 Definition of Linear Block Codes

 Generator Matrix 

 Parity-Check Matrix 

Syndrome and Cosets 

 Dual Code 

 Bounds for Linear Block Codes 

Code Constructions 

 Examples of Linear Block Codes 

 Cyclic Codes 

 Definition of Cyclic Codes 

Generator Polynomial 

 Parity-Check Polynomial

 Dual Codes 

 Linear Feedback Shift Registers 

 BCH Codes 

 Reed–Solomon Codes