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The following outline is provided as an overview of and topical guide to cryptography: Cryptography (or cryptology) – practice and study of hiding information. Modern cryptography intersects the disciplines of mathematics, computer science, and engineering. Applications of cryptography include ATM cards, computer passwords, and electronic ...
A trapdoor in cryptography has the very specific aforementioned meaning and is not to be confused with a backdoor (these are frequently used interchangeably, which is incorrect). A backdoor is a deliberate mechanism that is added to a cryptographic algorithm (e.g., a key pair generation algorithm, digital signing algorithm, etc.) or operating ...
This concept is widely embraced by cryptographers, in contrast to security through obscurity, which is not. Kerckhoffs's principle was phrased by American mathematician Claude Shannon as "the enemy knows the system", [ 1 ] i.e., "one ought to design systems under the assumption that the enemy will immediately gain full familiarity with them".
Since then cryptography has broadened in scope, and now makes extensive use of mathematical subdisciplines, including information theory, computational complexity, statistics, combinatorics, abstract algebra, number theory, and finite mathematics. [43] Cryptography is also a branch of engineering, but an unusual one since it deals with active ...
In cryptography, confusion and diffusion are two properties of a secure cipher identified by Claude Shannon in his 1945 classified report A Mathematical Theory of Cryptography. [1] These properties, when present, work together to thwart the application of statistics , and other methods of cryptanalysis .
In the context of cryptography, encryption serves as a mechanism to ensure confidentiality. [1] Since data may be visible on the Internet, sensitive information such as passwords and personal communication may be exposed to potential interceptors. [1] The process of encrypting and decrypting messages involves keys. The two main types of keys in ...
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 . [ 1 ] [ 2 ] Key pairs are generated with cryptographic algorithms based on mathematical problems termed one-way functions .
These ideas can be applied to a more realistic cryptography application. Peggy wants to prove to Victor that she knows the discrete logarithm of a given value in a given group. [11] For example, given a value y, a large prime p, and a generator , she wants to prove that she knows a value x such that g x ≡ y (mod p), without revealing x.