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This is a list of important publications in cryptography, organized by field.
Some reasons why a particular publication might be regarded as important:
Description: Presented the index of coincidence method for codebreaking; number 22 in the Riverbank Publications series.
Description: The breaking of the Enigma.
Description: Almost nothing had been published in cryptography in several decades and very few non-government researchers were thinking about it. The Codebreakers, a popular and non academic book, made many more people aware and contains a lot of technical information, although it requires careful reading to extract it. Its 1967 appearance was followed by the appearance of many papers over the next few years.
Description: The method of differential cryptanalysis.
Description: The method of linear cryptanalysis.
Description: Information theory based analysis of cryptography. The original form of this paper was a confidential Bell Labs report from 1945, not the one published.
Description: The paper provides a rigorous basis to encryption (e.g., partial information) and shows that it possible to equate the slightest cryptanalysis to solve a pure math problem. Second, it introduces the notion of computational indistinguishability.
Description: This paper explains how to construct a zero-knowledge proof system for any language in NP.
Description: Feistel ciphers are a form of cipher of which DES is the most important. It would be hard to overestimate the importance of either Feistel or DES. Feistel pushed a transition from stream ciphers to block ciphers. Although most ciphers operate on streams, most of the important ciphers today are block ciphers at their core.
Description: DES is not only one of the most widely deployed ciphers in the world but has had a profound impact on the development of cryptography. Roughly a generation of cryptographers devoted much of their time to attacking and improving DES.
Description: This paper suggested public key cryptography and presented Diffie–Hellman key exchange. For more information about this work see: W.Diffie, M.E.Hellman, "Privacy and Authentication: An Introduction to Cryptography", in Proc. IEEE, Vol 67(3) Mar 1979, pp 397–427.
Description: In this paper (along with Loren M. Kohnfelder,"Using Certificates for Key Distribution in a Public-Key Cryptosystem", MIT Technical report 19 May 1978), Kohnfelder introduced certificates (signed messages containing public keys) which are the heart of all modern key management systems.
Description: This paper introduced a branch of public key cryptography, known as public key distribution systems. Merkle's work predated "New directions in cryptography" though it was published after it. The Diffie–Hellman key exchange is an implementation of such a Merkle system. Hellman himself has argued [1] that a more correct name would be Diffie–Hellman–Merkle key exchange.
Description: The RSA encryption method. The first public-key encryption method.
Description: A safe method for sharing a secret.
Description: Introduced the adversarial model against which almost all cryptographic protocols are judged.
Description: This paper introduced the basic ideas of cryptographic protocols and showed how both secret-key and public-key encryption could be used to achieve authentication.
Description: The Kerberos authentication protocol, which allows individuals communicating over an insecure network to prove their identity to one another in a secure and practical manner.
Description: Network software in distributed systems.
Diffie–Hellman (DH) key exchange is a mathematical method of securely exchanging cryptographic keys over a public channel and was one of the first public-key protocols as conceived by Ralph Merkle and named after Whitfield Diffie and Martin Hellman. DH is one of the earliest practical examples of public key exchange implemented within the field of cryptography. Published in 1976 by Diffie and Hellman, this is the earliest publicly known work that proposed the idea of a private key and a corresponding public key.
The Data Encryption Standard is a symmetric-key algorithm for the encryption of digital data. Although its short key length of 56 bits makes it too insecure for modern applications, it has been highly influential in the advancement of cryptography.
Kerberos is a computer-network authentication protocol that works on the basis of tickets to allow nodes communicating over a non-secure network to prove their identity to one another in a secure manner. Its designers aimed it primarily at a client–server model, and it provides mutual authentication—both the user and the server verify each other's identity. Kerberos protocol messages are protected against eavesdropping and replay attacks.
Public-key cryptography, or asymmetric cryptography, is the field of cryptographic systems that use pairs of related keys. Each key pair consists of a public key and a corresponding private key. Key pairs are generated with cryptographic algorithms based on mathematical problems termed one-way functions. Security of public-key cryptography depends on keeping the private key secret; the public key can be openly distributed without compromising security.
Ralph C. Merkle is an American computer scientist and mathematician. He is one of the inventors of public-key cryptography, the inventor of cryptographic hashing, and more recently a researcher and speaker on cryonics.
Symmetric-key algorithms are algorithms for cryptography that use the same cryptographic keys for both the encryption of plaintext and the decryption of ciphertext. The keys may be identical, or there may be a simple transformation to go between the two keys. The keys, in practice, represent a shared secret between two or more parties that can be used to maintain a private information link. The requirement that both parties have access to the secret key is one of the main drawbacks of symmetric-key encryption, in comparison to public-key encryption. However, symmetric-key encryption algorithms are usually better for bulk encryption. With exception of the one-time pad they have a smaller key size, which means less storage space and faster transmission. Due to this, asymmetric-key encryption is often used to exchange the secret key for symmetric-key encryption.
In cryptography, the ElGamal encryption system is an asymmetric key encryption algorithm for public-key cryptography which is based on the Diffie–Hellman key exchange. It was described by Taher Elgamal in 1985. ElGamal encryption is used in the free GNU Privacy Guard software, recent versions of PGP, and other cryptosystems. The Digital Signature Algorithm (DSA) is a variant of the ElGamal signature scheme, which should not be confused with ElGamal encryption.
Articles related to cryptography include:
Martin Edward Hellman is an American cryptologist and mathematician, best known for his invention of public-key cryptography in cooperation with Whitfield Diffie and Ralph Merkle. Hellman is a longtime contributor to the computer privacy debate, and has applied risk analysis to a potential failure of nuclear deterrence.
Bailey Whitfield 'Whit' Diffie ForMemRS is an American cryptographer and mathematician and one of the pioneers of public-key cryptography along with Martin Hellman and Ralph Merkle. Diffie and Hellman's 1976 paper New Directions in Cryptography introduced a radically new method of distributing cryptographic keys, that helped solve key distribution—a fundamental problem in cryptography. Their technique became known as Diffie–Hellman key exchange. The article stimulated the almost immediate public development of a new class of encryption algorithms, the asymmetric key algorithms.
Key exchange is a method in cryptography by which cryptographic keys are exchanged between two parties, allowing use of a cryptographic algorithm.
In cryptography, Khufu and Khafre are two block ciphers designed by Ralph Merkle in 1989 while working at Xerox's Palo Alto Research Center. Along with Snefru, a cryptographic hash function, the ciphers were named after the Egyptian Pharaohs Khufu, Khafre and Sneferu.
SPEKE is a cryptographic method for password-authenticated key agreement.
In cryptography, forward secrecy (FS), also known as perfect forward secrecy (PFS), is a feature of specific key-agreement protocols that gives assurances that session keys will not be compromised even if long-term secrets used in the session key exchange are compromised, limiting damage. For HTTPS, the long-term secret is typically the private key of the server. Forward secrecy protects past sessions against future compromises of keys or passwords. By generating a unique session key for every session a user initiates, the compromise of a single session key will not affect any data other than that exchanged in the specific session protected by that particular key. This by itself is not sufficient for forward secrecy which additionally requires that a long-term secret compromise does not affect the security of past session keys.
The Diffie–Hellman problem (DHP) is a mathematical problem first proposed by Whitfield Diffie and Martin Hellman in the context of cryptography and serves as the theoretical basis of the Diffie–Hellman key exchange and its derivatives. The motivation for this problem is that many security systems use one-way functions: mathematical operations that are fast to compute, but hard to reverse. For example, they enable encrypting a message, but reversing the encryption is difficult. If solving the DHP were easy, these systems would be easily broken.
Lattice-based cryptography is the generic term for constructions of cryptographic primitives that involve lattices, either in the construction itself or in the security proof. Lattice-based constructions support important standards of post-quantum cryptography. Unlike more widely used and known public-key schemes such as the RSA, Diffie-Hellman or elliptic-curve cryptosystems — which could, theoretically, be defeated using Shor's algorithm on a quantum computer — some lattice-based constructions appear to be resistant to attack by both classical and quantum computers. Furthermore, many lattice-based constructions are considered to be secure under the assumption that certain well-studied computational lattice problems cannot be solved efficiently.
Cryptography, or cryptology, is the practice and study of techniques for secure communication in the presence of adversarial behavior. More generally, cryptography is about constructing and analyzing protocols that prevent third parties or the public from reading private messages. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, information security, electrical engineering, digital signal processing, physics, and others. Core concepts related to information security are also central to cryptography. Practical applications of cryptography include electronic commerce, chip-based payment cards, digital currencies, computer passwords, and military communications.
The following outline is provided as an overview of and topical guide to cryptography:
Post-quantum cryptography (PQC), sometimes referred to as quantum-proof, quantum-safe, or quantum-resistant, is the development of cryptographic algorithms that are thought to be secure against a cryptanalytic attack by a quantum computer. The problem with popular algorithms currently used in the market is that their security relies on one of three hard mathematical problems: the integer factorization problem, the discrete logarithm problem or the elliptic-curve discrete logarithm problem. All of these problems could be easily solved on a sufficiently powerful quantum computer running Shor's algorithm or even faster and less demanding alternatives.