Introduction to Cryptography with Open-Source Software

1. Auflage 2011
ISBN: 978-1-4398-2570-9
Verlag: CRC Press

Buch, Englisch, 462 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 854 g

Reihe: Discrete Mathematics and Its Applications

Once the privilege of a secret few, cryptography is now taught at universities around the world. Introduction to Cryptography with Open-Source Software illustrates algorithms and cryptosystems using examples and the open-source computer algebra system of Sage. The author, a noted educator in the field, provides a highly practical learning experience by progressing at a gentle pace, keeping mathematics at a manageable level, and including numerous end-of-chapter exercises.

Focusing on the cryptosystems themselves rather than the means of breaking them, the book first explores when and how the methods of modern cryptography can be used and misused. It then presents number theory and the algorithms and methods that make up the basis of cryptography today. After a brief review of "classical" cryptography, the book introduces information theory and examines the public-key cryptosystems of RSA and Rabin’s cryptosystem. Other public-key systems studied include the El Gamal cryptosystem, systems based on knapsack problems, and algorithms for creating digital signature schemes.

The second half of the text moves on to consider bit-oriented secret-key, or symmetric, systems suitable for encrypting large amounts of data. The author describes block ciphers (including the Data Encryption Standard), cryptographic hash functions, finite fields, the Advanced Encryption Standard, cryptosystems based on elliptical curves, random number generation, and stream ciphers. The book concludes with a look at examples and applications of modern cryptographic systems, such as multi-party computation, zero-knowledge proofs, oblivious transfer, and voting protocols.

Zielgruppe

Postgraduate

Autoren/Hrsg.

McAndrew, Alasdair

Fachgebiete

• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Kryptologie, Informationssicherheit
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik EDV | Informatik Technische Informatik Computersicherheit Kryptographie, Datenverschlüsselung

Inhaltsverzeichnis

Introduction to Cryptography. Basic Number Theory. Classical Cryptosystems. Introduction to Information Theory. Public-Key Cryptosystems Based on Factoring. Public-Key Cryptosystems Based on Logarithms and Knapsacks. Digital Signatures. Block Ciphers and the Data Encryption Standard. Finite Fields. The Advanced Encryption Standard. Hash Functions. Elliptic Curves and Cryptosystems. Random Numbers and Stream Ciphers. Advanced Applications and Protocols. Appendices. Bibliography. Index.

Über Autor(innen)

Alasdair McAndrew is a senior lecturer in the School of Engineering and Science at Victoria University in Melbourne, Australia.