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Applications of Group Theory in Cryptography

Applications of Group Theory in Cryptography : Post-quantum Group-based Cryptography.

・ISBN 978-1-4704-7469-0 paper US$ 135.00

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お気に入り
著者・編者Kahrobaei, Delaram / Flores, Ramon / Noce, Marialaura / Habeeb, Maggie E. / Battarbee, Christopher,
シリーズMathematical Surveys and Monographs
出版社(American Mathematical Society, US)
出版年月2024
ページ数142 pp.
言語ENG
ニュース番号<M25-2627>

解説

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.