A Course in Mathematical Cryptography

Prof. Gilbert Baumslag (1933-2014) was a Distinguished Professor at the City College of New York, with joint appointments in mathematics, computer science, and electrical engineering. He was director of the Center for Algorithms and Interactive Scientific Software, which grew out of the MAGNUS computational group theory project he also headed.

Prof. Dr. Benjamin Fine is Professor of Mathematics at Fairfield University.

Prof. Dr. Martin Kreuzer ist Inhaber des Lehrstuhls für Symbolic Computation an der Universität Passau.

Prof. Dr. Gerhard Rosenberger lehrt am Fachbereich Mathematik der Universität Hamburg.

Preface
Contents
1. Basic Ideas of Cryptography
2. Symmetric Key Cryptosystems
3. Cryptanalysis and Complexity
4. Cryptographic Protocols
5. Elementary Number Theoretic Techniques
6. Some Number Theoretic Algorithms
7. Public Key Cryptography
8. Elliptic Curve Cryptography
9. Basic Concepts from Group Theory
10. Non-Commutative Group Based Cryptography
11. Platform Groups and Braid Group Cryptography
12. Further Applications Using Group Theory
13. Commutative Gröbner Basis Methods
14. Non-Commutative Gröbner Basis Methods
15. Lattice-Based Cryptography
Bibliography
Index

"The book under review concerns mathematical cryptography: it presents old and new concepts and methods, which clearly show how mathematics is crucial for modern purposes. [...] Surely this book will provide an important service for the community: it will be useful for graduate students who want to be introduced to the subject, for postgraduate students who want to be acquainted with the different aspects of cryptography, and for researchers who want to know recent results in the area."Patrizia Longobardi in: Mathematical Reviews Clippings MR3558843 94A60 October 2017 „Es werden alle relevanten Themen für eine Lehrveranstaltung besprochen."Prof. Dr. Jörg Hettel, Markus Höfler, Hochschule Kaiserslautern