[PDF.37ld] Algebraic Function Fields and Codes (Graduate Texts in Mathematics)

Algebraic Function Fields and Codes (Graduate Texts in Mathematics)

[PDF.ke04] Algebraic Function Fields and Codes (Graduate Texts in Mathematics)

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 | #2462579 in Books |  Springer |  2008-12-05 | Original language:English | PDF # 1 |  9.21 x.88 x6.14l,1.45 | File type: PDF | 360 pages

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||6 of 6 people found the following review helpful.| an introduction to Goppa codes|By Mathieu Dutour|Coding theory is fundamental to make digital transmission technology work efficiently and usually uses Reed-Solomon codes. The "natural" extension of those codes is to consider riemann surfaces over finite fields.
The theory is developped from scratch and does not assume any knowledge of algebraic geometry. The author gave a| ||From the reviews of the second edition: | |"In this book we have an exposition of the theory of function fields in one variable from the algebraic point of view … . The book is carefully written, the concepts are well motivated and plenty of examples h

This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.

You easily download any file type for your device.Algebraic Function Fields and Codes (Graduate Texts in Mathematics)   |  Henning Stichtenoth. A good, fresh read, highly recommended.

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