Introduction To Algebraic Coding Theory

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A01=Tzuong-tsieng Moh
Algebraic Geometric Goppa Codes
Algebraic Geometry
Author_Tzuong-tsieng Moh
BCH Codes
Category=PBF
Category=PBKD
Category=PBMW
eq_isMigrated=1
eq_isMigrated=2
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Hamming Codes
Linear Algebra
Power Series
Reed-Solomon Codes
ReedAcAEURA"Solomon Codes
Riemann-Roch Theorem
RiemannAcAEURA"Roch Theorem
Ring
Self-Correcting Codes
Shannon's Theorem

Product details

  • ISBN 9789819819201
  • Publication Date: 21 Mar 2022
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Paperback
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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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