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Introduction To Algebraic Coding Theory - Tzuong-tsieng Moh

Introduction To Algebraic Coding Theory

Buch | Hardcover
268 Seiten
2022
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-2096-8 (ISBN)
CHF 139,65 inkl. MwSt
We live in the age of technology where messages are transmitted in sequences of 0's and 1's through space. It is possible to make an error with noisy channels, so self-correcting codes become vital to eradicate all errors (as the number of errors is small). These self-correcting codes are widely used in the industry for a variety of applications including e-mail, telephone, remote sensing (e.g., photographs of Mars), amongst others.We will present some essentials of the theory in this book. Using linear algebra, we have the salient Hamming codes. The next level of coding theory is through the usage of ring theory, especially polynomials, rational functions and power series, to produce BCH codes, Reed-Solomon codes and the classical Goppa codes. Then we progress to the geometric Goppa code using Algebraic Geometry.
Erscheinungsdatum
Reihe/Serie Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes ; 3
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 981-12-2096-4 / 9811220964
ISBN-13 978-981-12-2096-8 / 9789811220968
Zustand Neuware
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