Coding Theory

Network Coding Theory Network Coding Theory

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Coding Theory

♣ Introduction. Coding theory originated with the advent of computers. Early computers were huge mechanical monsters whose reliability was low compared to the computers of today. Based, as they were, on banks of mechanical relays, if a single relay failed to close the entire calculation was in error. The engineers of the day devised ways to detect faulty relays so that they could be replaced. W...

Coding Theory

The field of coding theory emerged with the pioneering work of Claude E. Shannon “A Mathematical Theory of Communication”, published in 1948 in the Bell System Technical Journal. In his work, Shannon investigates both the transmission and compression of information. A probabilistic model is proposed for the communication channel or for the source, and a mathematical measure is proposed to quant...

Information Theory and Coding

Introduction to coding theory

Error-correcting codes constitute one of the key ingredients in achieving the high degree of reliability required in modern data transmission and storage systems. This book introduces the reader to the theoretical foundations of error-correcting codes, with an emphasis on Reed–Solomon codes and their derivative codes. After reviewing linear codes and finite fields, the author describes Reed–Sol...