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Author:   Duncan Buell
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Weight:   0.456kg
ISBN:  

9783030734916

ISBN 10:   3030734919
Pages:   279
Publication Date:   16 June 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

1. Introduction.- 2. Simple Ciphers.- 3. Divisibility, Congruences, and Modular Arithmetic.- 4. Groups, Rings, Fields.- 5. Square Roots and Quadratic Symbols.- 6. Finite Fields of Characteristic 2.- 7. Elliptic Curves.- 8. Mathematics, Computing, and Arithmetic.- 9. Modern Symmetric Ciphers - DES and AES.- 10. Asymmetric Ciphers - RSA and Others.- 11. How to Factor a Number.- 12. How to Factor More Effectively.- 13. Cycles, Randomness, Discrete Logarithms, and KeyExchange.- 14. Elliptic Curve Cryptography.- 15. Quantum Computing and Cryptography.- 16. Lattice-Based Cryptography.- 17. Homomorphic Encryption.- 18. Exercises.

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Author Information

Duncan Buell, professor emeritus in the Dept. of Computer Science and Engineering at University of South Carolina, also has 15 years of experience at a research lab doing high-performance computing research in support of the US National Security Agency.

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