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Group-based Cryptography
This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2008.
|
| Edición: | 1st ed. 2008. |
| Colección: | Advanced Courses in Mathematics - CRM Barcelona,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-7643-8827-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220118134413.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2008 sz | s |||| 0|eng d | ||
| 020 | |a 9783764388270 |9 978-3-7643-8827-0 | ||
| 024 | 7 | |a 10.1007/978-3-7643-8827-0 |2 doi | |
| 050 | 4 | |a QA174-183 | |
| 072 | 7 | |a PBG |2 bicssc | |
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| 082 | 0 | 4 | |a 512.2 |2 23 |
| 100 | 1 | |a Myasnikov, Alexei. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Group-based Cryptography |h [electronic resource] / |c by Alexei Myasnikov, Vladimir Shpilrain, Alexander Ushakov. |
| 250 | |a 1st ed. 2008. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2008. | |
| 300 | |a XV, 183 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Advanced Courses in Mathematics - CRM Barcelona, |x 2297-0312 | |
| 505 | 0 | |a Background on Groups, Complexity, and Cryptography -- Background on Public Key Cryptography -- Background on Combinatorial Group Theory -- Background on Computational Complexity -- Non-commutative Cryptography -- Canonical Non-commutative Cryptography -- Platform Groups -- Using Decision Problems in Public Key Cryptography -- Generic Complexity and Cryptanalysis -- Distributional Problems and the Average-Case Complexity -- Generic Case Complexity -- Generic Complexity of NP-complete Problems -- Asymptotically Dominant Properties and Cryptanalysis -- Asymptotically Dominant Properties -- Length-Based and Quotient Attacks. | |
| 520 | |a This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It is also shown that there is a remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research avenues within group theory. Then, complexity theory, notably generic-case complexity of algorithms, is employed for cryptanalysis of various cryptographic protocols based on infinite groups, and the ideas and machinery from the theory of generic-case complexity are used to study asymptotically dominant properties of some infinite groups that have been applied in public key cryptography so far. Its elementary exposition makes the book accessible to graduate as well as undergraduate students in mathematics or computer science. | ||
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Discrete mathematics. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 1 | 4 | |a Group Theory and Generalizations. |
| 650 | 2 | 4 | |a Discrete Mathematics. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 700 | 1 | |a Shpilrain, Vladimir. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Ushakov, Alexander. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764398477 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764388263 |
| 830 | 0 | |a Advanced Courses in Mathematics - CRM Barcelona, |x 2297-0312 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-7643-8827-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||