Applications of Group Theory in Cryptography: Post-quantum Group-based Cryptography: 278 (Mathematical Surveys and Monographs) - Softcover

Delaram Kahrobaei (author); Ramon Flores (author); Marialaura Noce (author)

Softcover

ISBN 10: 1470474697 ISBN 13: 9781470474690

Publisher: American Mathematical Society, 2024

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2024
• Language: English
• ISBN 10: 1470474697
• ISBN 13: 9781470474690
• Binding: Paperback
• Number of pages: 142