Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms. This combined approach facilitates the reading and understanding of the subject. The digital companion of the book is a non-printable .pdf document with hyperlinks. The examples included in the book can be run with just a mouse click and modified and saved by users for their own purpose.
Show that in a binary group block code either all the code words have even weight or half have even weight , half odd . ( Hint : Show that the code words of even ... Assume the matrix M given in the example of Section 3.6 . 3.13 .
Block Error-Correcting Codes
Codes, Kodierung (Telegrafie) ; Kodierung, Datendarstellung, Bit, Byte (EDV).
Only a few older books are devoted to error detecting codes.This book begins with a short introduction to the theory of block codes with emphasis on the parts important for error detection.
An introduction to the Nordstrom—Robinson code The extended Golay code '§2., may be used to construct some interesting nonlinear double-error-correcting codes. The construction. It will be convenient to change the order of the columns ...
Building on the success of the first edition, which offered a practical introductory approach to the techniques of error concealment, this book, now fully revised and updated, provides a comprehensive treatment of the subject and includes a ...
This book is written as a text for a course aimed at advanced undergraduates.
Among these are the elimination of intersymbol interference caused by filtering and multipath and the improved demodulation of certain frequency modulated signals by taking advantage of the "natural" coding provided by a continuous phase.
5. 2 Rings and Ideals 148 5. 3 Ideals and Cyclic Subspaces 152 5. 4 Generator Matrices and Parity-Check Matrices 159 5. 5 Encoding Cyclic Codest 163 5. 6 Syndromes and Simple Decoding Procedures 168 5. 7 Burst Error Correcting 175 5. 8 ...
Error-correcting Coding Theory