Block Error Correcting Codes
I am currently learning about linear block codes. My main study text is Error
Control Systems for Digital Communication and Storage by Stephen B. Wicker.
As I work (very slowly) through the book I intend to record my notes /
thoughts / further investigations on this page.
Chapter 1 - Error Control Coding for Digital Communication SystemsI have to confess, I skimmed chapter 1 because the content is fairly familiar to me, though I may revisit it when I finally get around to really understanding Shannon's Mathematical Theory of Communication. (Another one of my "when I'm not busy" projects). On That Note...Wicker recommends the book Information Theory and Reliable Communication by R. G. Gallager as providing "the clearest explanation of basic information theory in print". There's also a chapter on the Shannon Coding Theorem and Information Theory in Five More Golden Rules by John L. Casti which is interesting in that it considers the coding efficiency of human DNA. Chapter 2 - Galois FieldsIn this Chapter, Mr Wicker documents the bits of linear and abstract algebra that are necessary to understanding block and convolutional codes. 2.1 Groups, Fields and Vector Spaces2.2 Elementary Properties of Galois Fields2.3 Primitive Polynomials and Galois Fields of Order pm2.4 Zech's Logarithms |
