Details

Subject(s)

• Group theory [Browse]
• Cryptography [Browse]

Author

• Flores, Ramón, 1975- [Browse]
• Noce, Marialaura, 1992- [Browse]
• Habeeb, Maggie E., 1983- [Browse]
• Battarbee, Christopher, 1998- [Browse]

Series

• Mathematical surveys and monographs ; no. 278. [More in this series]
• Mathematical surveys and monographs ; volume 278 [More in this series]

Summary note

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.crypanalyses, 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. Provided by publisher.

Bibliographic references

Includes bibliographical references (pages 129-138) and index.

Contents

• Group theory
• Algorithmic problems in group theory
• Classical cryptography
• Non-commutative cryptographic protocols
• Attacks
• Quantum cryptanalysis
• Braid groups
• Hyperbolic groups
• Small cancellation groups
• Polycyclic groups
• Graph groups
• Arithmetic groups
• Engel groups
• Self-similar groups.

Show 11 more Contents items

ISBN

• 9781470474690 (paperback)
• 1470474697 (paperback)

LCCN

2023044735

OCLC

1407282955

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