Cryptographic Applications of Analytic Number Theory: Complexity Lower Bounds and Pseudorandomness
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2003
|
| Schriftenreihe: | Progress in Computer Science and Applied Logic
22 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation. Key topics and features: - various lower bounds on the complexity of some number theoretic and cryptographic problems, associated with classical schemes such as RSA, Diffie-Hellman, DSA as well as with relatively new schemes like XTR and NTRU - a series of very recent results about certain important characteristics (period, distribution, linear complexity) of several commonly used pseudorandom number generators, such as the RSA generator, Blum-Blum-Shub generator, Naor-Reingold generator, inversive generator, and others - one of the principal tools is bounds of exponential sums, which are combined with other number theoretic methods such as lattice reduction and sieving - a number of open problems of different level of difficulty and proposals for further research - an extensive and up-to-date bibliography Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills |
| Beschreibung: | 1 Online-Ressource (IX, 414 p) |
| ISBN: | 9783034880374 9783034894159 |
| DOI: | 10.1007/978-3-0348-8037-4 |
Internformat
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Datensatz im Suchindex
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| author | Shparlinski, Igor |
| author_facet | Shparlinski, Igor |
| author_role | aut |
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| building | Verbundindex |
| bvnumber | BV042422017 |
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| discipline | Mathematik |
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| format | Electronic eBook |
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| id | DE-604.BV042422017 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034880374 9783034894159 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857434 |
| oclc_num | 863697789 |
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| physical | 1 Online-Ressource (IX, 414 p) |
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| publishDate | 2003 |
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| publisher | Birkhäuser Basel |
| record_format | marc |
| series2 | Progress in Computer Science and Applied Logic |
| spelling | Shparlinski, Igor Verfasser aut Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness edited by Igor Shparlinski Basel Birkhäuser Basel 2003 1 Online-Ressource (IX, 414 p) txt rdacontent c rdamedia cr rdacarrier Progress in Computer Science and Applied Logic 22 The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation. Key topics and features: - various lower bounds on the complexity of some number theoretic and cryptographic problems, associated with classical schemes such as RSA, Diffie-Hellman, DSA as well as with relatively new schemes like XTR and NTRU - a series of very recent results about certain important characteristics (period, distribution, linear complexity) of several commonly used pseudorandom number generators, such as the RSA generator, Blum-Blum-Shub generator, Naor-Reingold generator, inversive generator, and others - one of the principal tools is bounds of exponential sums, which are combined with other number theoretic methods such as lattice reduction and sieving - a number of open problems of different level of difficulty and proposals for further research - an extensive and up-to-date bibliography Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills Mathematics Data encryption (Computer science) Number theory Number Theory Data Encryption Applications of Mathematics Mathematik https://doi.org/10.1007/978-3-0348-8037-4 Verlag Volltext |
| spellingShingle | Shparlinski, Igor Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness Mathematics Data encryption (Computer science) Number theory Number Theory Data Encryption Applications of Mathematics Mathematik |
| title | Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness |
| title_auth | Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness |
| title_exact_search | Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness |
| title_full | Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness edited by Igor Shparlinski |
| title_fullStr | Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness edited by Igor Shparlinski |
| title_full_unstemmed | Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness edited by Igor Shparlinski |
| title_short | Cryptographic Applications of Analytic Number Theory |
| title_sort | cryptographic applications of analytic number theory complexity lower bounds and pseudorandomness |
| title_sub | Complexity Lower Bounds and Pseudorandomness |
| topic | Mathematics Data encryption (Computer science) Number theory Number Theory Data Encryption Applications of Mathematics Mathematik |
| topic_facet | Mathematics Data encryption (Computer science) Number theory Number Theory Data Encryption Applications of Mathematics Mathematik |
| url | https://doi.org/10.1007/978-3-0348-8037-4 |
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