Lattices and Codes: A Course Partially Based on Lectures by F. Hirzebruch
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Wiesbaden
Vieweg+Teubner Verlag
2002
|
| Edition: | 2nd Revised Edition |
| Series: | Advanced Lectures in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. Finally, several new exercises have been added |
| Physical Description: | 1 Online-Ressource (XVIII, 188p) |
| ISBN: | 9783322900142 9783528164973 |
| ISSN: | 0932-7134 |
| DOI: | 10.1007/978-3-322-90014-2 |
Staff View
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| discipline | Mathematik |
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| edition | 2nd Revised Edition |
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| illustrated | Not Illustrated |
| indexdate | 2025-01-15T07:00:32Z |
| institution | BVB |
| isbn | 9783322900142 9783528164973 |
| issn | 0932-7134 |
| language | English |
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| series2 | Advanced Lectures in Mathematics |
| spelling | Ebeling, Wolfgang 1951-2025 Verfasser (DE-588)141552123 aut Lattices and Codes A Course Partially Based on Lectures by F. Hirzebruch by Wolfgang Ebeling 2nd Revised Edition Wiesbaden Vieweg+Teubner Verlag 2002 1 Online-Ressource (XVIII, 188p) txt rdacontent c rdamedia cr rdacarrier Advanced Lectures in Mathematics 0932-7134 The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. Finally, several new exercises have been added Mathematics Algebra Mathematics, general Mathematik Code (DE-588)4010345-6 gnd rswk-swf Gitter Mathematik (DE-588)4157375-4 gnd rswk-swf Verband Mathematik (DE-588)4062565-5 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 s Gitter Mathematik (DE-588)4157375-4 s 1\p DE-604 Verband Mathematik (DE-588)4062565-5 s Code (DE-588)4010345-6 s 2\p DE-604 https://doi.org/10.1007/978-3-322-90014-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ebeling, Wolfgang 1951-2025 Lattices and Codes A Course Partially Based on Lectures by F. Hirzebruch Mathematics Algebra Mathematics, general Mathematik Code (DE-588)4010345-6 gnd Gitter Mathematik (DE-588)4157375-4 gnd Verband Mathematik (DE-588)4062565-5 gnd Codierungstheorie (DE-588)4139405-7 gnd |
| subject_GND | (DE-588)4010345-6 (DE-588)4157375-4 (DE-588)4062565-5 (DE-588)4139405-7 |
| title | Lattices and Codes A Course Partially Based on Lectures by F. Hirzebruch |
| title_auth | Lattices and Codes A Course Partially Based on Lectures by F. Hirzebruch |
| title_exact_search | Lattices and Codes A Course Partially Based on Lectures by F. Hirzebruch |
| title_full | Lattices and Codes A Course Partially Based on Lectures by F. Hirzebruch by Wolfgang Ebeling |
| title_fullStr | Lattices and Codes A Course Partially Based on Lectures by F. Hirzebruch by Wolfgang Ebeling |
| title_full_unstemmed | Lattices and Codes A Course Partially Based on Lectures by F. Hirzebruch by Wolfgang Ebeling |
| title_short | Lattices and Codes |
| title_sort | lattices and codes a course partially based on lectures by f hirzebruch |
| title_sub | A Course Partially Based on Lectures by F. Hirzebruch |
| topic | Mathematics Algebra Mathematics, general Mathematik Code (DE-588)4010345-6 gnd Gitter Mathematik (DE-588)4157375-4 gnd Verband Mathematik (DE-588)4062565-5 gnd Codierungstheorie (DE-588)4139405-7 gnd |
| topic_facet | Mathematics Algebra Mathematics, general Mathematik Code Gitter Mathematik Verband Mathematik Codierungstheorie |
| url | https://doi.org/10.1007/978-3-322-90014-2 |
| work_keys_str_mv | AT ebelingwolfgang latticesandcodesacoursepartiallybasedonlecturesbyfhirzebruch |