Description
Book SynopsisCryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography.
The Handbook of Applied Cryptography provides a treatment that is multifunctional:
It serves as an introduction to the more practical aspects of both conventional
Trade Review
"…very well suited for the reader who wants an encyclopedic description of the state of the art of applied modern cryptography."
-Mathematical Reviews, Issue 99g
"[This book] is an incredible achievement. … [T]he handbook is complete. If I want to check what problems there were with a proposed system, determine how the variations on a particular algorithm developed, see what research preceded and followed an idea, I go to the Handbook. The Handbook has accurate, clear, and correct information. It is wonderful. … If I were limited to only one cryptography text on my shelves, it would be the Handbook of Applied Cryptography."
- Bulletin of the AMS
Table of Contents
Foreword by Ronald L. Rivest Overview of Cryptography Introduction Information security and cryptography Background on functions Functions(1-1, one-way, trapdoor one-way) Permutations Involutions Basic terminology and concepts Symmetric-key encryption Overview of block ciphers and stream ciphers Substitution ciphers and transposition ciphers Composition of ciphers Stream ciphers The key space Digital signatures Authentication and identification Identification Data origin authentication Public-key cryptography Public-key encryption The necessity of authentication in public-key systems Digital signatures from reversible public-key encryption Symmetric-key versus public-key cryptography Hash functions Protocols and mechanisms Key establishment, management, and certification Key management through symmetric-key techniques Key management through public-key techniques Trusted third parties and public-key certificates Pseudorandom numbers and sequences Classes of attacks and security models Attacks on encryption schemes Attacks on protocols Models for evaluating security Perspective for computational security Notes and further references Mathematical Background Probability theory Basic definitions Conditional probability Random variables Binomial distribution Birthday attacks Random mappings Information theory Entropy Mutual information Complexity theory Basic definitions Asymptotic notation Complexity classes Randomized algorithms Number theory The integers Algorithms in Z The integers modulo n Algorithms in Zn The Legendre and Jacobi symbols Blum integers Abstract algebra Groups Rings Fields Polynomial rings Vector spaces Finite fields Basic properties The Euclidean algorithm for polynomials Arithmetic of polynomials N
