Designs and their codes:
Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two ar...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1992
|
| Series: | Cambridge tracts in mathematics
103 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas |
| Physical Description: | 1 Online-Ressource (x, 352 Seiten) |
| ISBN: | 9781316529836 |
| DOI: | 10.1017/CBO9781316529836 |
Staff View
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| id | DE-604.BV043940828 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9781316529836 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349798 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (x, 352 Seiten) |
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| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Assmus, E. F. Verfasser aut Designs and their codes E.F. Assmus, Jr., J.D. Key Designs & their Codes Cambridge Cambridge University Press 1992 1 Online-Ressource (x, 352 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 103 Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas Combinatorial designs and configurations Coding theory Kombinatorische Designtheorie (DE-588)4164747-6 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Blockplan (DE-588)4146038-8 gnd rswk-swf Algebraische Codierung (DE-588)4141834-7 gnd rswk-swf Code (DE-588)4010345-6 gnd rswk-swf Entwurf (DE-588)4121208-3 gnd rswk-swf Entwurf (DE-588)4121208-3 s Code (DE-588)4010345-6 s DE-604 Algebraische Codierung (DE-588)4141834-7 s Blockplan (DE-588)4146038-8 s Codierungstheorie (DE-588)4139405-7 s Kombinatorische Designtheorie (DE-588)4164747-6 s Key, J. D. Sonstige oth Erscheint auch als Druck-Ausgabe 978-0-521-41361-9 Erscheint auch als Druck-Ausgabe 978-0-521-45839-9 https://doi.org/10.1017/CBO9781316529836 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Assmus, E. F. Designs and their codes Combinatorial designs and configurations Coding theory Kombinatorische Designtheorie (DE-588)4164747-6 gnd Codierungstheorie (DE-588)4139405-7 gnd Blockplan (DE-588)4146038-8 gnd Algebraische Codierung (DE-588)4141834-7 gnd Code (DE-588)4010345-6 gnd Entwurf (DE-588)4121208-3 gnd |
| subject_GND | (DE-588)4164747-6 (DE-588)4139405-7 (DE-588)4146038-8 (DE-588)4141834-7 (DE-588)4010345-6 (DE-588)4121208-3 |
| title | Designs and their codes |
| title_alt | Designs & their Codes |
| title_auth | Designs and their codes |
| title_exact_search | Designs and their codes |
| title_full | Designs and their codes E.F. Assmus, Jr., J.D. Key |
| title_fullStr | Designs and their codes E.F. Assmus, Jr., J.D. Key |
| title_full_unstemmed | Designs and their codes E.F. Assmus, Jr., J.D. Key |
| title_short | Designs and their codes |
| title_sort | designs and their codes |
| topic | Combinatorial designs and configurations Coding theory Kombinatorische Designtheorie (DE-588)4164747-6 gnd Codierungstheorie (DE-588)4139405-7 gnd Blockplan (DE-588)4146038-8 gnd Algebraische Codierung (DE-588)4141834-7 gnd Code (DE-588)4010345-6 gnd Entwurf (DE-588)4121208-3 gnd |
| topic_facet | Combinatorial designs and configurations Coding theory Kombinatorische Designtheorie Codierungstheorie Blockplan Algebraische Codierung Code Entwurf |
| url | https://doi.org/10.1017/CBO9781316529836 |
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