Algebraic Geometry in Coding Theory and Cryptography:
This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discus...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2009]
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 URL des Erstveröffentlichers |
| Zusammenfassung: | This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) |
| Beschreibung: | 1 online resource (272 pages) |
| ISBN: | 9781400831302 |
| DOI: | 10.1515/9781400831302 |
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| 520 | |a This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Niederreiter, Harald Xing, Chaoping |
| author_facet | Niederreiter, Harald Xing, Chaoping |
| author_role | aut aut |
| author_sort | Niederreiter, Harald |
| author_variant | h n hn c x cx |
| building | Verbundindex |
| bvnumber | BV046285458 |
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| dewey-full | 003/.54 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003/.54 |
| dewey-search | 003/.54 |
| dewey-sort | 13 254 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
| doi_str_mv | 10.1515/9781400831302 |
| format | Electronic eBook |
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| id | DE-604.BV046285458 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:40:35Z |
| institution | BVB |
| isbn | 9781400831302 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031663033 |
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| spelling | Niederreiter, Harald aut Algebraic Geometry in Coding Theory and Cryptography Harald Niederreiter, Chaoping Xing Princeton, NJ Princeton University Press [2009] © 2010 1 online resource (272 pages) txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books In English MATHEMATICS / Geometry / Algebraic bisacsh Coding theory Cryptography Geometry, Algebraic Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Kryptologie (DE-588)4033329-2 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Codierungstheorie (DE-588)4139405-7 s Kryptologie (DE-588)4033329-2 s 1\p DE-604 Xing, Chaoping aut aut https://doi.org/10.1515/9781400831302 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Niederreiter, Harald Xing, Chaoping Algebraic Geometry in Coding Theory and Cryptography MATHEMATICS / Geometry / Algebraic bisacsh Coding theory Cryptography Geometry, Algebraic Codierungstheorie (DE-588)4139405-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Kryptologie (DE-588)4033329-2 gnd |
| subject_GND | (DE-588)4139405-7 (DE-588)4001161-6 (DE-588)4033329-2 |
| title | Algebraic Geometry in Coding Theory and Cryptography |
| title_auth | Algebraic Geometry in Coding Theory and Cryptography |
| title_exact_search | Algebraic Geometry in Coding Theory and Cryptography |
| title_full | Algebraic Geometry in Coding Theory and Cryptography Harald Niederreiter, Chaoping Xing |
| title_fullStr | Algebraic Geometry in Coding Theory and Cryptography Harald Niederreiter, Chaoping Xing |
| title_full_unstemmed | Algebraic Geometry in Coding Theory and Cryptography Harald Niederreiter, Chaoping Xing |
| title_short | Algebraic Geometry in Coding Theory and Cryptography |
| title_sort | algebraic geometry in coding theory and cryptography |
| topic | MATHEMATICS / Geometry / Algebraic bisacsh Coding theory Cryptography Geometry, Algebraic Codierungstheorie (DE-588)4139405-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Kryptologie (DE-588)4033329-2 gnd |
| topic_facet | MATHEMATICS / Geometry / Algebraic Coding theory Cryptography Geometry, Algebraic Codierungstheorie Algebraische Geometrie Kryptologie |
| url | https://doi.org/10.1515/9781400831302 |
| work_keys_str_mv | AT niederreiterharald algebraicgeometryincodingtheoryandcryptography AT xingchaoping algebraicgeometryincodingtheoryandcryptography |