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

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Chapter 2

BLOCK CODES

2.1 Introduction

Block codes can be easily characterized by their encoding process. The process of encoding for these codes consists in segmenting the message to be transmitted in blocks of k digits and appending to each block n − k redundant digits. These n − k redundant digits are determined from the k-digit message and are intended for just detecting errors, or for detection and correction of errors, or correcting erasures which may appear during transmission.

Block codes may be linear or nonlinear. In linear codes, as mentioned in Chapter 1, the redundant digits are calculated as linear combinations of information digits. Linear block codes represent undoubtedly the most well-developed part of the theory of error-correcting ...

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