Algebra for Cryptologists

• Main Author: Meijer, Alko R. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Springer Undergraduate Texts in Mathematics and Technology,
• Subjects: Mathematics.; Data structures (Computer science).; Computer science > Mathematics.; Algebra.; Data Structures, Cryptology and Information Theory.; Discrete Mathematics in Computer Science.

This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. Modern cryptology has b...

Table of Contents:

• Prerequisites and Notation
• Basic Properties of the Integers
• Groups, Rings and Ideals
• Applications to Public Key Cryptography
• Fields
• Properties of Finite Fields
• Applications to Stream Ciphers
• Boolean Functions
• Applications to Block Ciphers
• Number Theory in Public Key Cryptography
• Where do we go from here?
• Probability. .