This monograph describes the theory behind Raptor codes, and elucidates elements of the
processes behind the design of two of the most prominent members of this class of codes …

This book aims to introduce the reader to the theoretical foundations of error-correcting
codes, concentrating on Reed Solomon codes and their derivatives. There are chapters on …

Electrical Engineering/Communications/Information Theory" The Berlekamp article alone
will make this book worth having."--David Forney, Vice President, Motorola Codex Reed …

This book concerns digital communication. Specifically, we treat the transport of bit streams
from one geographical location to another over various physical media, such as wire pairs …

Having trouble deciding which coding scheme to employ, how to design a new scheme, or
how to improve an existing system? This summary of the state-of-the-art in iterative coding …

Preface page xi 1 Introduction 1 Exercises 4 2 Error detection, correction and decoding 5 2.1
Communication channels 5 2.2 Maximum likelihood decoding 8 2.3 Hamming distance 8 2.4 …

In this paper, we will investigate the performance of Raptor codes on arbitrary binary input
memoryless symmetric channels (BIMSCs). In doing so, we generalize some of the results …

The Nordstrom-Robinson, Kerdock, and (slightly modified) Preparata codes are shown to be
linear over ${\mathbb {Z} _4} $, the integers ${\bmod\; 4} $. The Kerdock and Preparata …

Reed-Muller (RM) codes are among the oldest, simplest and perhaps most ubiquitous family
of codes. They are used in many areas of coding theory in both electrical engineering and …

LT-codes are a new class of codes introduced by Luby for the purpose of scalable and fault-
tolerant distribution of data over computer networks. In this paper, we introduce Raptor …