Introduction to Algebraic Coding Theory

Tzuong-Tsieng Moh

ISBN 10: 9819819202 / ISBN 13: 9789819819201

Editore: World Scientific Publishing Company Mär 2022, 2022

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Neuware - In this age of technology where messages are transmitted in sequences of 0's and 1's through space, errors can occur due to noisy channels. Thus, self-correcting code is vital to eradicate these errors when the number of errors is small. It is widely used in industry for a variety of applications including e-mail, telephone, and remote sensing (for example, photographs of Mars).An expert in algebra and algebraic geometry, Tzuong-Tsieng Moh covers many essential aspects of algebraic coding theory in this book, such as elementary algebraic coding theories, the mathematical theory of vector spaces and linear algebras behind them, various rings and associated coding theories, a fast decoding method, useful parts of algebraic geometry and geometric coding theories.This book is accessible to advanced undergraduate students, graduate students, coding theorists and algebraic geometers.

Codice articolo 9789819819201

Dati bibliografici

• Titolo: Introduction to Algebraic Coding Theory
• Editore: World Scientific Publishing Company Mär 2022
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 9819819202
• ISBN 13: 9789819819201
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

In this age of technology where messages are transmitted in sequences of 0's and 1's through space, errors can occur due to noisy channels. Thus, self-correcting code is vital to eradicate these errors when the number of errors is small. It is widely used in industry for a variety of applications including e-mail, telephone, and remote sensing (for example, photographs of Mars).An expert in algebra and algebraic geometry, Tzuong-Tsieng Moh covers many essential aspects of algebraic coding theory in this book, such as elementary algebraic coding theories, the mathematical theory of vector spaces and linear algebras behind them, various rings and associated coding theories, a fast decoding method, useful parts of algebraic geometry and geometric coding theories.This book is accessible to advanced undergraduate students, graduate students, coding theorists and algebraic geometers.