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| Softcover ISBN: | 978-0-8218-4298-0 |
| Product Code: | AMSIP/41 |
| List Price: | $73.00 |
| MAA Member Price: | $65.70 |
| AMS Member Price: | $58.40 |
| eBook ISBN: | 978-1-4704-3830-2 |
| Product Code: | AMSIP/41.E |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $55.20 |
| Softcover ISBN: | 978-0-8218-4298-0 |
| eBook ISBN: | 978-1-4704-3830-2 |
| Product Code: | AMSIP/41.B |
| List Price: | $142.00 $107.50 |
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Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 41; 2007; 200 ppMSC: Primary 94
Coding theory draws on a remarkable selection of mathematical topics, both pure and applied. The various contributions in this volume introduce coding theory and its most recent developments and applications, emphasizing both mathematical and engineering perspectives on the subject. This volume covers four important areas in coding theory: algebraic geometry codes, graph-based codes, space-time codes, and quantum codes. Both students and seasoned researchers will benefit from the extensive and self-contained discussions of the development and recent progress in these areas.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
ReadershipResearch mathematicians interested in coding theory.
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Table of Contents
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Algebraic geometry codes
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Introduction to algebraic geometry codes
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Upper and lower bounds for $A(q)$
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Elkies’ modularity conjecture
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Explicit towers and codes
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Improved algebraic geometry bounds
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On the Galois closure of towers
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Graph-based codes
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Graph-based codes
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New aspects of Reed Muller codes
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Reed Muller codes and symplectic geometry
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Quantum codes
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Foundations of quantum error correction
-
A new description of quantum error-correcting codes
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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Coding theory draws on a remarkable selection of mathematical topics, both pure and applied. The various contributions in this volume introduce coding theory and its most recent developments and applications, emphasizing both mathematical and engineering perspectives on the subject. This volume covers four important areas in coding theory: algebraic geometry codes, graph-based codes, space-time codes, and quantum codes. Both students and seasoned researchers will benefit from the extensive and self-contained discussions of the development and recent progress in these areas.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
Research mathematicians interested in coding theory.
-
Algebraic geometry codes
-
Introduction to algebraic geometry codes
-
Upper and lower bounds for $A(q)$
-
Elkies’ modularity conjecture
-
Explicit towers and codes
-
Improved algebraic geometry bounds
-
On the Galois closure of towers
-
Graph-based codes
-
Graph-based codes
-
New aspects of Reed Muller codes
-
Reed Muller codes and symplectic geometry
-
Quantum codes
-
Foundations of quantum error correction
-
A new description of quantum error-correcting codes
