# Download Codes and Curves (Student Mathematical Library, Vol. 7) fb2

### by Judy L. Walker

This book is based on a series of lectures the author gave as part of the IAS/Park City Mathematics Institute .

This book is based on a series of lectures the author gave as part of the IAS/Park City Mathematics Institute (Utah) program on arithmetic algebraic geometry. This book is not yet featured on Listopia.

Mobile version (beta). Codes and Curves (Student Mathematical Library, Vol. 7) (Student Mathematical Library, V. Judy L. Walker. Download (pdf, 360 Kb) Donate Read. Epub FB2 mobi txt RTF.

Библиографические данные. Codes and Curves Student mathematical library (Том 7) Student mathematical library: IAS/Park city mathematical subseries (Том 7). Автор. American Mathematical Soc. ISBN. 082187280X, 9780821872802.

Codes and Curves Judy L. Walker Author address: Department of Mathematics and Statistics, University of. .These notes, on the other hand, are designed for a general mathematical audience. In fact, the lectures were originally designed for undergraduates. Walker Author address: Department of Mathematics and Statistics, University of Nebraska, Lincoln, NE 68588-0323 E-mail address: jwalker. 1991 Mathematics Subject Classification. Primary 11T71, 94B27; Secondary 11D45, 11G20, 14H50, 94B05, 94B65.

Codes and Curves (Student. has been added to your Cart. This little book gives the reader a first taste of an intriguing field. The most surprising part is how much is covered in so few pages

Codes and Curves (Student. The most surprising part is how much is covered in so few pages. It is a lovely little book that is written in a lively style.

Judy Leavitt Walker is an American mathematician. J. Walker (2000), "Codes and Curves", Student Mathematical Library, IAS/Park City Mathematical Subseries, 7. American Mathematical Society, Providence, RI. Online pdf. F. She is the Aaron Douglas Professor of Mathematics at the University of Nebraska–Lincoln, where she chaired the mathematics department from 2012 through 2016 and currently serves as the Associate Vice Chancellor for Faculty Affairs . Voloch, J. Walker (2000), "Euclidean weights of codes from elliptic curves over rings", Trans.

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Published in Student mathematical library 2000. oceedings{Walker2000CodesAC, title {Codes and Curves}, author {Judy L. Walker}, booktitle {Student mathematical library}, year {2000} }. View PDF. Save to Library.

When information is transmitted, errors are likely to occur. This book is based on a series of lectures the author gave as part of the IAS/Park City Mathematics Institute (Utah) program on arithmetic algebraic geometry.

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The traditional tools of coding theory have come from combinatorics and group theory. Since the work of Goppa in the late 1970s, however, coding theorists have added techniques from algebraic geometry to their toolboxes. In particular, by re-interpreting the Reed-Solomon codes as coming from evaluating functions associated to divisors on the projective line, one can see how to define new codes based on other divisors or on other algebraic curves. For instance, using modular curves over finite fields, Tsfasman, Vladut, and Zink showed that one can define a sequence of codes with asymptotically better parameters than any previously known codes.

This book is based on a series of lectures the author gave as part of the IAS/Park City Mathematics Institute (Utah) program on arithmetic algebraic geometry. Here, the reader is introduced to the exciting field of algebraic geometric coding theory. Presenting the material in the same conversational tone of the lectures, the author covers linear codes, including cyclic codes, and both bounds and asymptotic bounds on the parameters of codes. Algebraic geometry is introduced, with particular attention given to projective curves, rational functions and divisors. The construction of algebraic geometric codes is given, and the Tsfasman-Vladut-Zink result mentioned above is discussed.