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Elements of Algebraic Coding Systems by Valdemar Cardoso da Rocha, Jr.

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Chapter 1

BASIC CONCEPTS

1.1 Introduction

Reliable data transmission at higher data rates, has always been a constant challenge for both engineers and researchers in the field of telecommunications. Error-correcting codes (Lin and Costello Jr. 2004), have without doubt contributed in a significant way for the theoretical and technological advances in this area. Problems related to storage and recovery of large amounts of data in semiconductor memories (Chen and Hsiao 1984), have also been benefited from error-correcting coding techniques.

Another important aspect related to both data transmission and data storage concerns data security and data authenticity. However, security and authenticity belong to the study of cryptology (Konheim 1981) and ...

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