Designs, graphs, codes and their links /:
This book demonstrates the connection between, and the applications of, design theory to graphs and codes. It is suitable as a textbook for advanced undergraduate students.
Gespeichert in:
1. Verfasser: | |
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Weitere Verfasser: | |
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, U.K. :
Cambridge University Press,
1996, ©1991.
|
Schriftenreihe: | London Mathematical Society student texts ;
22. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This book demonstrates the connection between, and the applications of, design theory to graphs and codes. It is suitable as a textbook for advanced undergraduate students. |
Beschreibung: | 1 online resource : illustrations |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781107361744 1107361745 9780511623714 0511623712 |
Internformat
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245 | 1 | 0 | |a Designs, graphs, codes and their links / |c P.J. Cameron and J.H. van Lint. |
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505 | 0 | |a Cover; Title; Copyright; Contents; Preface; Notation and terminology; 1. Design theory; Appendix: The Principle of Inclusion and Exclusion; Exercises; 2. Strongly regular graphs; Exercises; 3. Graphs with least eigenvalue -2; Exercises; 4. Regular two-graphs; Exercises; 5. Quasi-symmetric designs; Exercises; 6. A property of the number six; Exercises; 7. Partial geometries; Exercises; 8. Graphs with no triangles; Exercises; 9. Codes; Exercises; 10. Cyclic codes; Exercises; 11. The Golay codes; Exercises; 12. Reed-Muller and Kerdock codes; Constructions of Kerdock sets.; Exercises | |
505 | 8 | |a 13. Self-orthogonal codes and projective planesExercises; 14. Quadratic residue codes and the Assmus-Mattson Theorem; Exercises; 15. Symmetry codes over F3; Exercises; 16. Nearly perfect binary codes and uniformly packed codes; The Preparata codes.; Exercises.; 17. Association schemes; Exercises; References; Index; List of Authors | |
520 | |a This book demonstrates the connection between, and the applications of, design theory to graphs and codes. It is suitable as a textbook for advanced undergraduate students. | ||
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adam_text | |
any_adam_object | |
author | Cameron, Peter J. (Peter Jephson), 1947- |
author2 | Lint, Jacobus Hendricus van, 1932- |
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author_GND | http://id.loc.gov/authorities/names/n81072709 http://id.loc.gov/authorities/names/n50080615 |
author_facet | Cameron, Peter J. (Peter Jephson), 1947- Lint, Jacobus Hendricus van, 1932- |
author_role | |
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contents | Cover; Title; Copyright; Contents; Preface; Notation and terminology; 1. Design theory; Appendix: The Principle of Inclusion and Exclusion; Exercises; 2. Strongly regular graphs; Exercises; 3. Graphs with least eigenvalue -2; Exercises; 4. Regular two-graphs; Exercises; 5. Quasi-symmetric designs; Exercises; 6. A property of the number six; Exercises; 7. Partial geometries; Exercises; 8. Graphs with no triangles; Exercises; 9. Codes; Exercises; 10. Cyclic codes; Exercises; 11. The Golay codes; Exercises; 12. Reed-Muller and Kerdock codes; Constructions of Kerdock sets.; Exercises 13. Self-orthogonal codes and projective planesExercises; 14. Quadratic residue codes and the Assmus-Mattson Theorem; Exercises; 15. Symmetry codes over F3; Exercises; 16. Nearly perfect binary codes and uniformly packed codes; The Preparata codes.; Exercises.; 17. Association schemes; Exercises; References; Index; List of Authors |
ctrlnum | (OCoLC)715181961 |
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dewey-raw | 511/.6 |
dewey-search | 511/.6 |
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discipline | Mathematik |
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id | ZDB-4-EBA-ocn715181961 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:17:47Z |
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isbn | 9781107361744 1107361745 9780511623714 0511623712 |
language | English |
oclc_num | 715181961 |
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spelling | Cameron, Peter J. (Peter Jephson), 1947- https://id.oclc.org/worldcat/entity/E39PBJr7Wp9w9KWmP9RdFyM773 http://id.loc.gov/authorities/names/n81072709 Designs, graphs, codes and their links / P.J. Cameron and J.H. van Lint. Cambridge, U.K. : Cambridge University Press, 1996, ©1991. 1 online resource : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society student texts ; 22 Includes bibliographical references and index. Print version record. Cover; Title; Copyright; Contents; Preface; Notation and terminology; 1. Design theory; Appendix: The Principle of Inclusion and Exclusion; Exercises; 2. Strongly regular graphs; Exercises; 3. Graphs with least eigenvalue -2; Exercises; 4. Regular two-graphs; Exercises; 5. Quasi-symmetric designs; Exercises; 6. A property of the number six; Exercises; 7. Partial geometries; Exercises; 8. Graphs with no triangles; Exercises; 9. Codes; Exercises; 10. Cyclic codes; Exercises; 11. The Golay codes; Exercises; 12. Reed-Muller and Kerdock codes; Constructions of Kerdock sets.; Exercises 13. Self-orthogonal codes and projective planesExercises; 14. Quadratic residue codes and the Assmus-Mattson Theorem; Exercises; 15. Symmetry codes over F3; Exercises; 16. Nearly perfect binary codes and uniformly packed codes; The Preparata codes.; Exercises.; 17. Association schemes; Exercises; References; Index; List of Authors This book demonstrates the connection between, and the applications of, design theory to graphs and codes. It is suitable as a textbook for advanced undergraduate students. Combinatorial designs and configurations. http://id.loc.gov/authorities/subjects/sh85028803 Coding theory. http://id.loc.gov/authorities/subjects/sh85027654 Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Configurations et schémas combinatoires. MATHEMATICS Combinatorics. bisacsh Coding theory fast Combinatorial designs and configurations fast Graph theory fast Lint, Jacobus Hendricus van, 1932- https://id.oclc.org/worldcat/entity/E39PBJxrW7p36d7HYbfgXVxYyd http://id.loc.gov/authorities/names/n50080615 London Mathematical Society student texts ; 22. http://id.loc.gov/authorities/names/n84727069 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=551351 Volltext |
spellingShingle | Cameron, Peter J. (Peter Jephson), 1947- Designs, graphs, codes and their links / London Mathematical Society student texts ; Cover; Title; Copyright; Contents; Preface; Notation and terminology; 1. Design theory; Appendix: The Principle of Inclusion and Exclusion; Exercises; 2. Strongly regular graphs; Exercises; 3. Graphs with least eigenvalue -2; Exercises; 4. Regular two-graphs; Exercises; 5. Quasi-symmetric designs; Exercises; 6. A property of the number six; Exercises; 7. Partial geometries; Exercises; 8. Graphs with no triangles; Exercises; 9. Codes; Exercises; 10. Cyclic codes; Exercises; 11. The Golay codes; Exercises; 12. Reed-Muller and Kerdock codes; Constructions of Kerdock sets.; Exercises 13. Self-orthogonal codes and projective planesExercises; 14. Quadratic residue codes and the Assmus-Mattson Theorem; Exercises; 15. Symmetry codes over F3; Exercises; 16. Nearly perfect binary codes and uniformly packed codes; The Preparata codes.; Exercises.; 17. Association schemes; Exercises; References; Index; List of Authors Combinatorial designs and configurations. http://id.loc.gov/authorities/subjects/sh85028803 Coding theory. http://id.loc.gov/authorities/subjects/sh85027654 Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Configurations et schémas combinatoires. MATHEMATICS Combinatorics. bisacsh Coding theory fast Combinatorial designs and configurations fast Graph theory fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85028803 http://id.loc.gov/authorities/subjects/sh85027654 http://id.loc.gov/authorities/subjects/sh85056471 |
title | Designs, graphs, codes and their links / |
title_auth | Designs, graphs, codes and their links / |
title_exact_search | Designs, graphs, codes and their links / |
title_full | Designs, graphs, codes and their links / P.J. Cameron and J.H. van Lint. |
title_fullStr | Designs, graphs, codes and their links / P.J. Cameron and J.H. van Lint. |
title_full_unstemmed | Designs, graphs, codes and their links / P.J. Cameron and J.H. van Lint. |
title_short | Designs, graphs, codes and their links / |
title_sort | designs graphs codes and their links |
topic | Combinatorial designs and configurations. http://id.loc.gov/authorities/subjects/sh85028803 Coding theory. http://id.loc.gov/authorities/subjects/sh85027654 Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Configurations et schémas combinatoires. MATHEMATICS Combinatorics. bisacsh Coding theory fast Combinatorial designs and configurations fast Graph theory fast |
topic_facet | Combinatorial designs and configurations. Coding theory. Graph theory. Configurations et schémas combinatoires. MATHEMATICS Combinatorics. Coding theory Combinatorial designs and configurations Graph theory |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=551351 |
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