A Course in Mathematical Cryptography / Gilbert Baumslag, Benjamin Fine, Martin Kreuzer, Gerhard Rosenberger.

Format:

Book

Author/Creator:

Baumslag, Gilbert, Author.

Fine, Benjamin, Author.

Kreuzer, Martin, Author.

Rosenberger, Gerhard, Author.

Series:

De Gruyter Textbook

Language:

English

German

Subjects (All):

Coding theory--Textbooks.

Coding theory.

Cryptography--United States.

Cryptography.

Physical Description:

1 online resource (390 p.)

Place of Publication:

Berlin ; Boston : De Gruyter, [2015]

Language Note:

German

Summary:

Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as Group-Based Cryptography Gröbner Basis Methods in Cryptography Lattice-Based Cryptography

Contents:

Frontmatter

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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Jul 2020)

ISBN:

9783110372762

3110372762

OCLC:

911847200