Introduction To Algebraic Coding Theory

Self-correcting code is essential in this age of technology to eradicate errors due to noisy channels. Tzuong-Tsieng Moh's book covers essential aspects of algebraic coding theory, such as elementary algebraic coding theories, vector spaces, linear algebras, rings, and decoding methods, and is accessible to advanced undergraduate students, graduate students, coding theorists, and algebraic geometers.

Format: Hardback
Length: 268 pages
Publication date: 22 March 2022
Publisher: World Scientific Publishing Co Pte Ltd

In the era of advanced technology, where messages are transmitted through space in the form of sequences of 0s and 1s, the presence of noisy channels can lead to errors. Consequently, the use of self-correcting code becomes essential to eliminate these errors, especially when the number of errors is limited. This code is widely employed in various industries, including e-mail, telephone, and remote sensing, such as the photographs of Mars. Tzuong-Tsieng Moh, an expert in algebra and algebraic geometry, delves into numerous crucial aspects of algebraic coding theory in this comprehensive book. He covers elementary algebraic coding theories, the mathematical foundations of vector spaces and linear algebras, various rings and their associated coding theories, a fast decoding method, and valuable applications of algebraic geometry and geometric coding theories. This book is designed to be accessible to advanced undergraduate students, graduate students, coding theorists, and algebraic geometers, providing a comprehensive understanding of this field.

ISBN-13: 9789811220968