Applications of Group Theory in Cryptography
Post-quantum Group-based Cryptography
Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-7469-0 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-7469-0 (ISBN)
A comprehensive treatment of group-based cryptography accessible to both mathematicians and computer scientists, with emphasis on the most recent developments in the area. It begins with a treatment of elementary topics in group theory, combinatorics, and complexity theory, and provides an overview of classical public-key cryptography.
This book is intended as a comprehensive treatment of group-based cryptography accessible to both mathematicians and computer scientists, with emphasis on the most recent developments in the area. To make it accessible to a broad range of readers, the authors started with a treatment of elementary topics in group theory, combinatorics, and complexity theory, as well as providing an overview of classical public-key cryptography. Then some algorithmic problems arising in group theory are presented, and cryptosystems based on these problems and their respective cryptanalyses are described. The book also provides an introduction to ideas in quantum cryptanalysis, especially with respect to the goal of post-quantum group-based cryptography as a candidate for quantum-resistant cryptography.
The final part of the book provides a description of various classes of groups and their suitability as platforms for group-based cryptography.
The book is a monograph addressed to graduate students and researchers in both mathematics and computer science.
This book is intended as a comprehensive treatment of group-based cryptography accessible to both mathematicians and computer scientists, with emphasis on the most recent developments in the area. To make it accessible to a broad range of readers, the authors started with a treatment of elementary topics in group theory, combinatorics, and complexity theory, as well as providing an overview of classical public-key cryptography. Then some algorithmic problems arising in group theory are presented, and cryptosystems based on these problems and their respective cryptanalyses are described. The book also provides an introduction to ideas in quantum cryptanalysis, especially with respect to the goal of post-quantum group-based cryptography as a candidate for quantum-resistant cryptography.
The final part of the book provides a description of various classes of groups and their suitability as platforms for group-based cryptography.
The book is a monograph addressed to graduate students and researchers in both mathematics and computer science.
Delaram Kahrobaei, Queens College, The City University of New York, Flushing, NY, and University of York, United Kingdom. Ramon Flores, University of Seville, Spain. Marialaura Noce, University of Salerno, Italy. Maggie E. Habeeb, Pennsylvania Western University, California, PA. Christopher Battarbee, University of York, United Kingdom.
Background information
Group theory
Algorithmic problems in group theory
Classical cryptography
Post-quantum cryptography and cryptanalysis
Noncommutative cryptographic protocols
Attacks
Quantum cryptanalysis
Cryptographic platforms
Braid groups
Hyperbolic groups
Small cancellation groups
Polycyclic groups
Graph groups
Arithmetic groups
Engel groups
Self-similar groups
Bibliography
Index
| Erscheinungsdatum | 03.02.2024 |
|---|---|
| Reihe/Serie | Mathematical Surveys and Monographs ; 278 |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 272 g |
| Themenwelt | Geisteswissenschaften ► Sprach- / Literaturwissenschaft ► Literaturwissenschaft |
| Mathematik / Informatik ► Mathematik ► Algebra | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Wirtschaft ► Betriebswirtschaft / Management | |
| ISBN-10 | 1-4704-7469-7 / 1470474697 |
| ISBN-13 | 978-1-4704-7469-0 / 9781470474690 |
| Zustand | Neuware |
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Buch | Softcover (2020)
Beuth (Verlag)
CHF 27,85
