334 Pages
7 B/W Illustrations
by
Chapman & Hall
336 Pages
7 B/W Illustrations
by
Chapman & Hall
Also available as eBook on:
At the heart of modern cryptographic algorithms lies computational number theory. Whether you're encrypting or decrypting ciphers, a solid background in number theory is essential for success. Written by a number theorist and practicing cryptographer, Cryptanalysis of Number Theoretic Ciphers takes you from basic number theory to the inner workings of ciphers and protocols. First, the book... Read more
MATHEMATICAL FOUNDATIONS OF CRYPTANALYSIS
Terminology of Cryptography
Probability Theory
Divisibility and Arithmetic
Primes
Congruences
Euler's Theorem and Its Consequences
Second Degree Congruences
Information Theory
Groups, Rings and Fields
Finding Large Primes
Exponential Methods of Factoring Integers
Elliptic Curves
Subexponential Factoring Algorithms
Computing Discrete Logarithms
Random Number Generation
THE CRYPTOGRAPHIC ALGORITHMS
Private Key Algorithms
Public Key Algorithms
Signature Algorithms
Key Exchange Algorithms
Simple Protocols
Complicated Protocols
Complete Systems
METHODS OF ATTACK
Direct Attacks
Exploiting a User Error
Active Attacks
References
Terminology of Cryptography
Probability Theory
Divisibility and Arithmetic
Primes
Congruences
Euler's Theorem and Its Consequences
Second Degree Congruences
Information Theory
Groups, Rings and Fields
Finding Large Primes
Exponential Methods of Factoring Integers
Elliptic Curves
Subexponential Factoring Algorithms
Computing Discrete Logarithms
Random Number Generation
THE CRYPTOGRAPHIC ALGORITHMS
Private Key Algorithms
Public Key Algorithms
Signature Algorithms
Key Exchange Algorithms
Simple Protocols
Complicated Protocols
Complete Systems
METHODS OF ATTACK
Direct Attacks
Exploiting a User Error
Active Attacks
References
Biography
Samuel S. Wagstaff, Jr. is a professor at the Purdue University Center for Education and Research in Information Assurance and Security (CERIAS) in West Lafayette, Indiana.
"This book contains a nice introduction to modern cryptography, with emphasis laid on the ciphers based on computational number theory. … The reader learns to deal with large numbers in a computer and to analyze the complexity of the most basic algorithms. … [T]he reader is not just confronted with a list of algorithms, but he/she is given the clues to assimilate the ideas behind the results … . The book contains more than 200 interesting exercises that test the reader's understanding of the text."
- Zentralblatt MATH, 1045
"The book provides an excellent text concerning cryptanalysis. … masterly and carefully written. As the proofs are given with full details … I can recommend it also to students."
- Monatshefte fur Mathematik
