Introduction To Algebraic Coding Theory

Introduction To Algebraic Coding Theory (Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes)
by: Tzuong-tsieng Moh (Author)
Publisher: WSPC (February 22, 2022)
Language: English
Hardcover: 266 pages
ISBN-10: 9811220964
ISBN-13: 9789811220968
Book Description
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.
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