Applications of Group Theory in Cryptography
Delaram Kahrobaei, Ramón Flores, Marialaura Noce, Maggie E. Habeeb, Christopher Battarbee
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.
Categorías:
Volumen:
278
Año:
2024
Editorial:
Providence, Rhode Island : American Mathematical Society,
Idioma:
english
Páginas:
141
ISBN 10:
1470474697
ISBN 13:
9781470474690
Serie:
Mathematical Surveys and Monographs
Archivo:
PDF, 1.40 MB
IPFS:
,
english, 2024