Applications of group theory in cryptography : post-quantum group-based cryptography
著者
書誌事項
Applications of group theory in cryptography : post-quantum group-based cryptography
（Mathematical surveys and monographs, v. 278）（Applied mathematics）
American Mathematical Society, c2024
- : pbk
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注記
Other authors: Ramón Flores, Marialaura Noce, Maggie E. Habeeb, Christopher Battarbee
Includes bibliographical references (p. 129-138) and index
内容説明・目次
内容説明
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.
目次
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
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