Combinatorial configurations: designs, codes, graphs
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow
Longman Scientific & Technical
1988
|
| Schriftenreihe: | Pitman monographs and surveys in pure and applied mathematics
40 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Bulgar. übers. |
| Beschreibung: | 189 S. graph. Darst. |
| ISBN: | 0470209925 |
Internformat
MARC
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| 245 | 1 | 0 | |a Combinatorial configurations |b designs, codes, graphs |c Vladimir D. Tonchev |
| 264 | 1 | |a Harlow |b Longman Scientific & Technical |c 1988 | |
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Datensatz im Suchindex
| _version_ | 1804139029340356608 |
|---|---|
| adam_text | Contents
Preface
CHAPTER 1 DESIGNS 1
1.1 Definitions and basic properties 1
1.2 Symmetric block designs 7
1.3 Finite fields 18
1.4 Finite geometries and designs 23
1.5 Permutation groups 35
1.6 Permutation groups and designs 44
1.7 Extension of designs 54
Notes on Chapter 1 68
CHAPTER 2 CODES AND DESIGNS 71
2.1 The Plotkin bound 72
2.2 Hadamard matrices and designs 79
2.3 Equidistant codes and resolvable designs 89
2.4 Constant weight codes 96
2.5 Perfect codes and designs 101
2.6 The Assmus-Mattson theorem 114
2.7 Majority logic decodable codes 123
Notes on Chapter 2 132
CHAPTER 3 STRONGLY REGULAR GRAPHS 135
3.1 Necessary conditions 135
3.2 Quasi-symmetric designs 149
3.3 Strongly regular graphs without triangles 158
3.4 Strongly regular graphs and symmetric designs 162
3.5 Rank 3 graphs and designs 166
3.6 Rank 3 graphs and unequal error protection codes 171
Notes on Chapter 3 176
References 179
Index 187
|
| any_adam_object | 1 |
| author | Tonchev, Vladimir D. ca. 20./21. Jh.Jh |
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| id | DE-604.BV023829445 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:37:35Z |
| institution | BVB |
| isbn | 0470209925 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017471616 |
| oclc_num | 246503664 |
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| owner | DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-634 DE-83 DE-11 DE-188 |
| physical | 189 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Longman Scientific & Technical |
| record_format | marc |
| series | Pitman monographs and surveys in pure and applied mathematics |
| series2 | Pitman monographs and surveys in pure and applied mathematics |
| spelling | Tonchev, Vladimir D. ca. 20./21. Jh.Jh. Verfasser (DE-588)121017583 aut Combinatorni configuratsii Combinatorial configurations designs, codes, graphs Vladimir D. Tonchev Harlow Longman Scientific & Technical 1988 189 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pitman monographs and surveys in pure and applied mathematics 40 Aus dem Bulgar. übers. Blockplan (DE-588)4146038-8 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf Kombinatorik (DE-588)4031824-2 s DE-604 Blockplan (DE-588)4146038-8 s 1\p DE-604 Pitman monographs and surveys in pure and applied mathematics 40 (DE-604)BV000022446 40 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017471616&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tonchev, Vladimir D. ca. 20./21. Jh.Jh Combinatorial configurations designs, codes, graphs Pitman monographs and surveys in pure and applied mathematics Blockplan (DE-588)4146038-8 gnd Kombinatorik (DE-588)4031824-2 gnd |
| subject_GND | (DE-588)4146038-8 (DE-588)4031824-2 |
| title | Combinatorial configurations designs, codes, graphs |
| title_alt | Combinatorni configuratsii |
| title_auth | Combinatorial configurations designs, codes, graphs |
| title_exact_search | Combinatorial configurations designs, codes, graphs |
| title_full | Combinatorial configurations designs, codes, graphs Vladimir D. Tonchev |
| title_fullStr | Combinatorial configurations designs, codes, graphs Vladimir D. Tonchev |
| title_full_unstemmed | Combinatorial configurations designs, codes, graphs Vladimir D. Tonchev |
| title_short | Combinatorial configurations |
| title_sort | combinatorial configurations designs codes graphs |
| title_sub | designs, codes, graphs |
| topic | Blockplan (DE-588)4146038-8 gnd Kombinatorik (DE-588)4031824-2 gnd |
| topic_facet | Blockplan Kombinatorik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017471616&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022446 |
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