Gespeichert in:
| Titel: | Algebraic geometry codes advanced chapters |
|---|---|
| Von: |
Michael Tsfasman, Serge Vlǎduţ, Dmitry Nogin
|
| Person: |
Cfasman, Michail A.
1954- Verfasser aut Vlăduţ, Serge G. Nogin, Dmitrij J. 1966- Sonstige |
| Hauptverfasser: | |
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2019]
|
| Schriftenreihe: | Mathematical surveys and monographs
238 |
| Notation: | SK 240 |
| Schlagwörter: | |
| Abstract: | "Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to several domains of mathematics. On one hand, it involves such classical areas as algebraic geometry and number theory; on the other, it is connected to information transmission theory, combinatorics, finite geometries, dense packings, and so on. The book gives a unique perspective on the subject. Whereas most books on coding theory start with elementary concepts and then develop them in the framework of coding theory itself within, this book systematically presents meaningful and important connections of coding theory with algebraic geometry and number theory. Among many topics treated in the book, the following should be mentioned: curves with many points over finite fields, class field theory, asymptotic theory of global fields, decoding, sphere packing, codes from multi-dimensional varieties, and applications of algebraic geometry codes."--Publisher's description |
| Beschreibung: | "The book is the natural continuation of Algebraic geometric codes: basic notions by the same authors. The concise exposition of the first volume is included as an appendix." |
| Umfang: | x, 453 Seiten 27 cm |
| ISBN: | 9781470448653 1470448653 |
Internformat
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| 100 | 1 | |a Cfasman, Michail A. |d 1954- |e Verfasser |0 (DE-588)1047955660 |4 aut | |
| 245 | 1 | 0 | |a Algebraic geometry codes |b advanced chapters |c Michael Tsfasman, Serge Vlǎduţ, Dmitry Nogin |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2019] | |
| 300 | |a x, 453 Seiten |c 27 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v 238 | |
| 500 | |a "The book is the natural continuation of Algebraic geometric codes: basic notions by the same authors. The concise exposition of the first volume is included as an appendix." | ||
| 505 | 8 | |a Chapter 5. Curves with many points. I: modular curves -- Chapter 6. Class field theory -- Chapter 7. Curves with many points. II -- Chapter 8. Infinite global fields -- Chapter 9. Decoding : some examples -- Chapter 10. Sphere packings -- Chapter 11. Codes from multidimensional varieties -- Chapter 12. Applications -- Appendix. Some basic facts from volume 1 | |
| 520 | 3 | |a "Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to several domains of mathematics. On one hand, it involves such classical areas as algebraic geometry and number theory; on the other, it is connected to information transmission theory, combinatorics, finite geometries, dense packings, and so on. The book gives a unique perspective on the subject. Whereas most books on coding theory start with elementary concepts and then develop them in the framework of coding theory itself within, this book systematically presents meaningful and important connections of coding theory with algebraic geometry and number theory. Among many topics treated in the book, the following should be mentioned: curves with many points over finite fields, class field theory, asymptotic theory of global fields, decoding, sphere packing, codes from multi-dimensional varieties, and applications of algebraic geometry codes."--Publisher's description | |
| 650 | 0 | 7 | |a Codierungstheorie |0 (DE-588)4139405-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Coding theory | |
| 653 | 0 | |a Number theory | |
| 653 | 0 | |a Geometry, Algebraic | |
| 653 | 0 | |a Coding theory | |
| 653 | 0 | |a Geometry, Algebraic | |
| 653 | 0 | |a Number theory | |
| 653 | 0 | |a Algebraic geometry / Curves / Curves | |
| 653 | 0 | |a Information and communication, circuits / Theory of error-correcting codes and error-detecting codes / Theory of error-correcting codes and error-detecting codes | |
| 653 | 0 | |a Algebraic geometry / Arithmetic problems. Diophantine geometry / Finite ground fields | |
| 653 | 0 | |a Number theory / Algebraic number theory: global fields / Arithmetic theory of algebraic function fields | |
| 653 | 0 | |a Number theory / Algebraic number theory: global fields / Algebraic numbers; rings of algebraic integers | |
| 653 | 0 | |a Number theory / Finite fields and commutative rings (number-theoretic aspects) / Algebraic coding theory; cryptography | |
| 653 | 0 | |a Number theory / Zeta and $L$-functions: analytic theory / Zeta and $L$-functions in characteristic $p$_ / msc | |
| 653 | 0 | |a Number theory / Algebraic number theory: global fields / Class field theory | |
| 653 | 0 | |a Number theory / Algebraic number theory: global fields / Zeta functions and $L$-functions of number fields | |
| 653 | 0 | |a Algebraic geometry / Families, fibrations / Fine and coarse moduli spaces | |
| 653 | 0 | |a Algebraic geometry / Surfaces and higher-dimensional varieties / Arithmetic ground fields | |
| 689 | 0 | 0 | |a Codierungstheorie |0 (DE-588)4139405-7 |D s |
| 689 | 0 | 1 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
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| 700 | 1 | |a Vlăduţ, Serge G. |d 1954- |e Sonstige |0 (DE-588)1047955652 |4 oth | |
| 700 | 1 | |a Nogin, Dmitrij J. |d 1966- |e Sonstige |0 (DE-588)135965586 |4 oth | |
| 830 | 0 | |a Mathematical surveys and monographs |v 238 |w (DE-604)BV000018014 |9 238 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-031676198 | |
Datensatz im Suchindex
| _version_ | 1818986305876393984 |
|---|---|
| any_adam_object | |
| author | Cfasman, Michail A. 1954- |
| author_GND | (DE-588)1047955660 (DE-588)1047955652 (DE-588)135965586 |
| author_facet | Cfasman, Michail A. 1954- |
| author_role | aut |
| author_sort | Cfasman, Michail A. 1954- |
| author_variant | m a c ma mac |
| building | Verbundindex |
| bvnumber | BV046298829 |
| classification_rvk | SK 240 |
| contents | Chapter 5. Curves with many points. I: modular curves -- Chapter 6. Class field theory -- Chapter 7. Curves with many points. II -- Chapter 8. Infinite global fields -- Chapter 9. Decoding : some examples -- Chapter 10. Sphere packings -- Chapter 11. Codes from multidimensional varieties -- Chapter 12. Applications -- Appendix. Some basic facts from volume 1 |
| ctrlnum | (OCoLC)1150815230 (DE-599)BVBBV046298829 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV046298829 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:48:41Z |
| institution | BVB |
| isbn | 9781470448653 1470448653 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031676198 |
| oclc_num | 1150815230 |
| open_access_boolean | |
| owner | DE-188 |
| owner_facet | DE-188 |
| physical | x, 453 Seiten 27 cm |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Cfasman, Michail A. 1954- Verfasser (DE-588)1047955660 aut Algebraic geometry codes advanced chapters Michael Tsfasman, Serge Vlǎduţ, Dmitry Nogin Providence, Rhode Island American Mathematical Society [2019] x, 453 Seiten 27 cm txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 238 "The book is the natural continuation of Algebraic geometric codes: basic notions by the same authors. The concise exposition of the first volume is included as an appendix." Chapter 5. Curves with many points. I: modular curves -- Chapter 6. Class field theory -- Chapter 7. Curves with many points. II -- Chapter 8. Infinite global fields -- Chapter 9. Decoding : some examples -- Chapter 10. Sphere packings -- Chapter 11. Codes from multidimensional varieties -- Chapter 12. Applications -- Appendix. Some basic facts from volume 1 "Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to several domains of mathematics. On one hand, it involves such classical areas as algebraic geometry and number theory; on the other, it is connected to information transmission theory, combinatorics, finite geometries, dense packings, and so on. The book gives a unique perspective on the subject. Whereas most books on coding theory start with elementary concepts and then develop them in the framework of coding theory itself within, this book systematically presents meaningful and important connections of coding theory with algebraic geometry and number theory. Among many topics treated in the book, the following should be mentioned: curves with many points over finite fields, class field theory, asymptotic theory of global fields, decoding, sphere packing, codes from multi-dimensional varieties, and applications of algebraic geometry codes."--Publisher's description Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Coding theory Number theory Geometry, Algebraic Algebraic geometry / Curves / Curves Information and communication, circuits / Theory of error-correcting codes and error-detecting codes / Theory of error-correcting codes and error-detecting codes Algebraic geometry / Arithmetic problems. Diophantine geometry / Finite ground fields Number theory / Algebraic number theory: global fields / Arithmetic theory of algebraic function fields Number theory / Algebraic number theory: global fields / Algebraic numbers; rings of algebraic integers Number theory / Finite fields and commutative rings (number-theoretic aspects) / Algebraic coding theory; cryptography Number theory / Zeta and $L$-functions: analytic theory / Zeta and $L$-functions in characteristic $p$_ / msc Number theory / Algebraic number theory: global fields / Class field theory Number theory / Algebraic number theory: global fields / Zeta functions and $L$-functions of number fields Algebraic geometry / Families, fibrations / Fine and coarse moduli spaces Algebraic geometry / Surfaces and higher-dimensional varieties / Arithmetic ground fields Codierungstheorie (DE-588)4139405-7 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Vlăduţ, Serge G. 1954- Sonstige (DE-588)1047955652 oth Nogin, Dmitrij J. 1966- Sonstige (DE-588)135965586 oth Mathematical surveys and monographs 238 (DE-604)BV000018014 238 |
| spellingShingle | Cfasman, Michail A. 1954- Algebraic geometry codes advanced chapters Mathematical surveys and monographs Chapter 5. Curves with many points. I: modular curves -- Chapter 6. Class field theory -- Chapter 7. Curves with many points. II -- Chapter 8. Infinite global fields -- Chapter 9. Decoding : some examples -- Chapter 10. Sphere packings -- Chapter 11. Codes from multidimensional varieties -- Chapter 12. Applications -- Appendix. Some basic facts from volume 1 Codierungstheorie (DE-588)4139405-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4139405-7 (DE-588)4001161-6 |
| title | Algebraic geometry codes advanced chapters |
| title_auth | Algebraic geometry codes advanced chapters |
| title_exact_search | Algebraic geometry codes advanced chapters |
| title_full | Algebraic geometry codes advanced chapters Michael Tsfasman, Serge Vlǎduţ, Dmitry Nogin |
| title_fullStr | Algebraic geometry codes advanced chapters Michael Tsfasman, Serge Vlǎduţ, Dmitry Nogin |
| title_full_unstemmed | Algebraic geometry codes advanced chapters Michael Tsfasman, Serge Vlǎduţ, Dmitry Nogin |
| title_short | Algebraic geometry codes |
| title_sort | algebraic geometry codes advanced chapters |
| title_sub | advanced chapters |
| topic | Codierungstheorie (DE-588)4139405-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Codierungstheorie Algebraische Geometrie |
| volume_link | (DE-604)BV000018014 |
| work_keys_str_mv | AT cfasmanmichaila algebraicgeometrycodesadvancedchapters AT vladutsergeg algebraicgeometrycodesadvancedchapters AT nogindmitrijj algebraicgeometrycodesadvancedchapters |