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by Judy L. Walker

Judy_L._Walker Science_and_Mathematics English
  • ISBN: 082182628X
  • Category: Other
  • Author: Judy L. Walker
  • Subcategory: Science & Mathematics
  • Other formats: lrf lit lrf docx
  • Language: English
  • Publisher: Amer Mathematical Society (June 1, 2000)
  • Pages: 66 pages
  • FB2 size: 1859 kb
  • EPUB size: 1852 kb
  • Rating: 4.7
  • Votes: 742
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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.

Finding books BookSee BookSee - Download books for free. Category: Математика, Прикладная математика. 360 Kb. Death in Show: A Dog Walker Mystery.

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.

Judy L. Walker - Codes and Curves (Student Mathematical Library, Vol. Pamela Walker Laird - Pull: Networking and Success Since Benjamin Franklin. Читать pdf. Walker Lamond - Rules for My Unborn Son. Walker Lamond.

When information is transmitted, errors are likely to occur. This problem has become increasingly important as tremendous amounts of information are transferred electronically every day. Coding theory examines efficient ways of packaging data so that these errors can be detected, or even corrected.

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.


Reviews about Codes and Curves (Student Mathematical Library, Vol. 7) (3):
Nilasida
Have nothing glowing to say about this book.
Small Black
The book gives an overview of algebraic coding theory. The first chapter introduces error correcting codes, the Hamming distance, Reed-Solomon codes, and concludes with a brief exposition of cyclic codes. The second chapter discusses some upper bounds on the minimum distance of a code such as the Singleton and Plotkin bounds.

The second theme of this book are algebraic curves. Chapter 3 contains the basic definitions and some examples of algebraic curves. The concept of a nonsingular curve is explained in Chapter 4. This chapter also contains a half page explanation of the genus of a curve. The Riemann-Roch theorem is finally covered in Chapter 5.

The two themes come together in Chapters 6 and 7. These chapters discuss the basic principles of algebraic geometry codes.

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 [the main text without appendices has 44 pages]. The explanations are always accessible for undergraduate students of mathematics, computer science, or electrical engineering. The prerequisites are some knowledge of abstract algebra, but most material is reviewed in the appendices.

It is a lovely little book that is written in a lively style. The book nicely complements the typical college courses on coding theory. If you want to get an idea what algebraic geometric codes are and you want a quick answer, then this is the book for you.
Agamaginn
There is a free version of the book available on the website of the University of Nebraska-Lincoln.

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