Introduction to Modern Cryptography: Principles and by Jonathan Katz, Yehuda Lindell

By Jonathan Katz, Yehuda Lindell

Cryptography performs a key function in making sure the privateness and integrity of knowledge and the safety of machine networks. creation to trendy Cryptography presents a rigorous but available therapy of contemporary cryptography, with a spotlight on formal definitions, distinct assumptions, and rigorous proofs.

The authors introduce the center ideas of recent cryptography, together with the trendy, computational method of safety that overcomes the constraints of ideal secrecy. an in depth therapy of private-key encryption and message authentication follows. The authors additionally illustrate layout ideas for block ciphers, akin to the knowledge Encryption ordinary (DES) and the complex Encryption normal (AES), and current provably safe structures of block ciphers from lower-level primitives. the second one half the ebook specializes in public-key cryptography, starting with a self-contained advent to the quantity concept had to comprehend the RSA, Diffie-Hellman, El Gamal, and different cryptosystems. After exploring public-key encryption and electronic signatures, the e-book concludes with a dialogue of the random oracle version and its applications.

Serving as a textbook, a reference, or for self-study, advent to trendy Cryptography provides the required instruments to totally comprehend this interesting subject.

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Extra info for Introduction to Modern Cryptography: Principles and Protocols

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Encryption Enc works as follows: given a key k E {0, 1}£ and a message mE {0, l}e, output c := k EB m. 4. Decryption Dec works as follows: given a key k E {0, 1 r and a ciphertext c E {0, 1}£, output m := k EB c. Before discussing the security of the one-time pad, we note that for every k and every m it holds that Deck (Enck (m)) = k EB k EB m = m and so the one-time pad constitutes a legal encryption scheme. Intuitively, the one-time pad is perfectly secret because given a ciphertext c, there is no way an adversary can know which plaintext mit originated from.

Principle 1 -the first step in solving any cryptographic problem is the formulation of a rigorous and precise definition of securiti · when the security of a cryptographic construction relies 2. Principle 2 on an unproven assumption_, . �his assumption must be precisely stated. Furthermore, the assumption should be as minimal as possible. - 3. Principle 3- cryptographic constructions should be accompanied by a rigorous proof of security with respect to a definition formulated accord­ ing to principle 1, and relative to an assumption stated as in principle 2 (if an assumption is needed at all).

First of all, as noted above, an assumption that has been tested over the years is preferable to a new assumption that is introduced just to prove a given construction secure. Second, there is a general preference for assumptions that are simpler to state, since such assumptions are easier to study and to refute. So, for example, an assumption of the type that some mathematical problem is hard to solve is simpler to study and work with than an assumption that an encryp­ tion schemes satisfies a complex (and possibly unnatural) security definition.

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