Gjosteen K. Practical Mathematical Cryptography 2022

Textbook in PDF format

Practical Mathematical Cryptography provides a clear and accessible introduction to practical mathematical cryptography. Cryptography, both as a science and as practice, lies at the intersection of mathematics and the science of computation, and the presentation emphasises the essential mathematical nature of the computations and arguments involved in cryptography. Cryptography is also a practical science, and the book shows how modern cryptography solves important practical problems in the real world, developing the theory and practice of cryptography from the basics to secure messaging and voting. The presentation provides a unified and consistent treatment of the most important cryptographic topics, from the initial design and analysis of basic cryptographic schemes towards applications.
Features
Builds from theory toward practical applications.
Suitable as the main text for a mathematical cryptography course.
Focus on secure messaging and voting systems.
Preface.
Symmetric Cryptography.
Key Exchange and Diffie-Hellman.
Public Key Encryption.
Digital Signatures.
Factoring Using Quantum Computers.
Computational Problems.
Symmetric Cryptography.
Public Key Encryption.
Digital Signatures.
Key Exchange.
Arguments.
Multi-party Computation.
Messaging Protocols.
Cryptographic Voting.
Index