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Early chapters cover fundamental concepts, introducing Shannon¿s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions.
A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience atthe Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.
Early chapters cover fundamental concepts, introducing Shannon¿s theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions.
A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience atthe Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.
Simeon Ball is Senior Lecturer of Mathematics at Universitat Politècnica de Catalunya in Barcelona, Spain. He has been invited speaker at many international conferences, as well as serving on the scientific and organising committee for the Fq series of conferences. His research interests include classical and quantum error-correcting codes, incidence problems in real and finite geometries, graphs and semifields, and is particularly focused on applying geometrical and algebraic methods to these combinatorial objects. He also serves on the editorial board of the Journal of Geometry, having previously served on the editorial board of Designs, Codes and Cryptography and Finite Fields and Their Applications.
Provides a rigorous mathematical perspective on error-correcting codes
Offers a pathway from the basics to the state-of-the-art, suitable for either independent study or the classroom
Corresponds to a one-semester course, where each chapter suits a two-hour lecture
Includes numerous helpful exercises with selected solutions provided
Includes supplementary material: [...]
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Compact Textbooks in Mathematics |
| Inhalt: |
xiii
177 S. 7 s/w Illustr. 5 farbige Illustr. 177 p. 12 illus. 5 illus. in color. |
| ISBN-13: | 9783030411527 |
| ISBN-10: | 3030411524 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Ball, Simeon |
| Auflage: | 1st ed. 2020 |
| Hersteller: |
Springer International Publishing
Compact Textbooks in Mathematics |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | Simeon Ball |
| Erscheinungsdatum: | 19.05.2020 |
| Gewicht: | 0,341 kg |
Simeon Ball is Senior Lecturer of Mathematics at Universitat Politècnica de Catalunya in Barcelona, Spain. He has been invited speaker at many international conferences, as well as serving on the scientific and organising committee for the Fq series of conferences. His research interests include classical and quantum error-correcting codes, incidence problems in real and finite geometries, graphs and semifields, and is particularly focused on applying geometrical and algebraic methods to these combinatorial objects. He also serves on the editorial board of the Journal of Geometry, having previously served on the editorial board of Designs, Codes and Cryptography and Finite Fields and Their Applications.
Provides a rigorous mathematical perspective on error-correcting codes
Offers a pathway from the basics to the state-of-the-art, suitable for either independent study or the classroom
Corresponds to a one-semester course, where each chapter suits a two-hour lecture
Includes numerous helpful exercises with selected solutions provided
Includes supplementary material: [...]
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Compact Textbooks in Mathematics |
| Inhalt: |
xiii
177 S. 7 s/w Illustr. 5 farbige Illustr. 177 p. 12 illus. 5 illus. in color. |
| ISBN-13: | 9783030411527 |
| ISBN-10: | 3030411524 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Ball, Simeon |
| Auflage: | 1st ed. 2020 |
| Hersteller: |
Springer International Publishing
Compact Textbooks in Mathematics |
| Maße: | 235 x 155 x 11 mm |
| Von/Mit: | Simeon Ball |
| Erscheinungsdatum: | 19.05.2020 |
| Gewicht: | 0,341 kg |
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