Introduction to Algebraic Coding Theory Moh Tzuong-Tsieng
Introduction to Algebraic Coding Theory Moh Tzuong-Tsieng We live in the age of technology where messages are transmitted in sequences of 0's and 1's through space. These self-correcting codes are…
Specifikacia Introduction to Algebraic Coding Theory Moh Tzuong-Tsieng
Introduction to Algebraic Coding Theory Moh Tzuong-Tsieng
We live in the age of technology where messages are transmitted in sequences of 0's and 1's through space. 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. 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).
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. Using linear algebra, we have the salient Hamming codes. Then we progress to the geometric Goppa code using Algebraic
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