Cryptography: An Introduction
About this Title
V. V. Yaschenko, Moscow Center for Continuous Mathematics Education, Moscow, Russia, Editor. Translated by Sergei Lando
Publication: The Student Mathematical Library
Publication Year 2002: Volume 18
ISBNs: 978-0-8218-2986-8 (print); 978-1-4704-2132-8 (online)
MathSciNet review: MR1954195
MSC: Primary 94A60; Secondary 11T71, 68P25, 94-01
Learning about cryptography requires examining fundamental issues about information security. Questions abound, ranging from “From whom are we protecting ourselves?” and “How can we measure levels of security?” to “What are our opponent's capabilities?” and “What are their goals?” Answering these questions requires an understanding of basic cryptography. This book, written by Russian cryptographers, explains those basics.
Chapters are independent and can be read in any order. The introduction gives a general description of all the main notions of modern cryptography: a cipher, a key, security, an electronic digital signature, a cryptographic protocol, etc. Other chapters delve more deeply into this material. The final chapter presents problems and selected solutions from Russian “Cryptography Olympiads for High School Students”.
This English translation of a Russian textbook is suitable for advanced high school students and undergraduates studying information security. It is also appropriate for a general mathematical audience interested in cryptography.
Undergraduates, graduate students, and research mathematicians interested in cryptography; general mathematical audience.
Table of Contents
- Chapter 1. Main notions
- Chapter 2. Cryptography and complexity theory
- Chapter 3. Cryptographic protocols
- Chapter 4. Algorithmic problems of number theory
- Chapter 5. Mathematics of secret sharing
- Chapter 6. Cryptography olympiads for high school students