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cryptography and cryptosystem
The goal in finding these " hard " instances is for their use in public key cryptography systems, such as the Merkle-Hellman knapsack cryptosystem.
In cryptography, Kerckhoffs's principle ( also called Kerckhoffs's Desiderata, Kerckhoffs's assumption, axiom, or law ) was stated by Auguste Kerckhoffs in the 19th century: A cryptosystem should be secure even if everything about the system, except the key, is public knowledge.
In addition to RSA, Shamir's other numerous inventions and contributions to cryptography include the Shamir secret sharing scheme, the breaking of the Merkle-Hellman knapsack cryptosystem, visual cryptography, and the TWIRL and TWINKLE factoring devices.
In a cryptosystem, weaknesses can be introduced through insecure handling of plaintext, allowing an attacker to bypass the cryptography altogether.
The Paillier cryptosystem, named after and invented by Pascal Paillier in 1999, is a probabilistic asymmetric algorithm for public key cryptography.
In cryptography, a timing attack is a side channel attack in which the attacker attempts to compromise a cryptosystem by analyzing the time taken to execute cryptographic algorithms.
In cryptography, a key distribution center ( KDC ) is part of a cryptosystem intended to reduce the risks inherent in exchanging keys.
* An asymmetric-key cryptosystem is published by Whitfield Diffie and Martin Hellman who disclose the Diffie – Hellman key exchange method of public-key agreement for public-key cryptography.
In cryptography, a side channel attack is any attack based on information gained from the physical implementation of a cryptosystem, rather than brute force or theoretical weaknesses in the algorithms ( compare cryptanalysis ).
In cryptography, an adversary ( rarely opponent, enemy ) is a malicious entity whose aim is to prevent the users of the cryptosystem from achieving their goal ( primarily privacy, integrity, and availability of data ).
In cryptography, Merkle's Puzzles is an early construction for a public-key cryptosystem, a protocol devised by Ralph Merkle in 1974 and published in 1978.
* Integrated Encryption Scheme, in cryptography, a public key cryptosystem
Phil Zimmermann's PGP cryptosystem and its distribution on the Internet in 1991 was the first major ' individual level ' challenge to controls on export of cryptography.
In cryptography, a cryptosystem is semantically secure if an adversary who knows the encryption algorithm and is in possession of a ciphertext is unable to determine any information about the plaintext.

cryptography and is
The latter is more cumbersome to use, so it's only employed when necessary, for example in the analysis of arbitrary-precision arithmetic algorithms, like those used in cryptography.
In cryptography, a block cipher is a deterministic algorithm operating on fixed-length groups of bits, called blocks, with an unvarying transformation that is specified by a symmetric key.
In cryptography, a cipher ( or cypher ) is an algorithm for performing encryption or decryption — a series of well-defined steps that can be followed as a procedure.
In non-technical usage, a " cipher " is the same thing as a " code "; however, the concepts are distinct in cryptography.
* symmetric key algorithms ( Private-key cryptography ), where the same key is used for encryption and decryption, and
In cryptography, key size or key length is the size measured in bits of the key used in a cryptographic algorithm ( such as a cipher ).
It is one of the earliest practical examples of key exchange implemented within the field of cryptography.
The introduction of DES is considered to have been a catalyst for the academic study of cryptography, particularly of methods to crack block ciphers.
" An astonishing share of the open literature in cryptography in the 1970s and 1980s dealt with the DES, and the DES is the standard against which every symmetric key algorithm since has been compared.
Elliptic curve cryptography ( ECC ) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.
Public-key cryptography is based on the intractability of certain mathematical problems.
Elliptic curve cryptography is vulnerable to a modified Shor's algorithm for solving the discrete logarithm problem on elliptic curves.
In cryptography, encryption is the process of transforming information ( referred to as plaintext ) using an algorithm ( called a cipher ) to make it unreadable to anyone except those possessing special knowledge, usually referred to as a key.
The result of the process is information ( in cryptography, referred to as ciphertext ).
Factorization of large integers is believed to be a computationally very difficult problem, and the security of many modern cryptography systems is based upon its infeasibility.
The Communications-Electronics Security Group ( CESG ) of GCHQ provides assistance to government departments on their own communications security: CESG is the UK national technical authority for information assurance, including cryptography.
Although related, the distinctions among these measures mean that a random variable with high Shannon entropy is not necessarily satisfactory for use in an extractor and so for cryptography uses.
Information security uses cryptography to transform usable information into a form that renders it unusable by anyone other than an authorized user ; this process is called encryption.
In cryptography, the International Data Encryption Algorithm ( IDEA ) is a block cipher designed by James Massey of ETH Zurich and Xuejia Lai and was first described in 1991.
The presumed difficulty of this problem is at the heart of widely used algorithms in cryptography such as RSA.
This will have significant implications for cryptography if a large quantum computer is ever built.
The problem often arises in resource allocation where there are financial constraints and is studied in fields such as combinatorics, computer science, complexity theory, cryptography and applied mathematics.

cryptography and asymmetric
* asymmetric key algorithms ( Public-key cryptography ), where two different keys are used for encryption and decryption.
Common families include symmetric systems ( e. g. AES ) and asymmetric systems ( e. g. RSA ); they may alternatively be grouped according to the central algorithm used ( e. g. elliptic curve cryptography ).
One of the asymmetric algorithm types, elliptic curve cryptography, or ECC, appears to be secure with shorter keys than those needed by other asymmetric key algorithms.
The method was followed shortly afterwards by RSA, an implementation of public key cryptography using asymmetric algorithms.
Public-key cryptography uses asymmetric key algorithms ( such as RSA ), and can also be referred to by the more generic term " asymmetric key cryptography.
The distinguishing technique used in public-key cryptography is the use of asymmetric key algorithms, where the key used to encrypt a message is not the same as the key used to decrypt it.
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.
Digital signatures employ a type of asymmetric cryptography.
Random numbers are used in both symmetric and asymmetric cryptography as a way of generating keys and for the random values used in the operation of some algorithms.
* Public-key cryptography ( asymmetric key algorithm ): two different keys are used for encryption and decryption
TLS and SSL encrypt the segments of network connections at the Application Layer for the Transport Layer, using asymmetric cryptography for key exchange, symmetric encryption for confidentiality, and message authentication codes for message integrity.
Trapdoor functions came to prominence in cryptography in the mid-1970s with the publication of asymmetric ( or public key ) encryption techniques by Diffie, Hellman, and Merkle.
DRM mechanisms also use certificates and asymmetric Key cryptography in many cases.
# Using asymmetric key cryptography, the originator uses the public key ( obtained from the directory ) of the first node in the circuit, known as the entry node, to send it an encrypted message, called a create cell, containing:
* Kahn, David – The Codebreakers ( ISBN 0-684-83130-9 ) A single-volume source for cryptographic history, at least for events up to the mid -' 60s ( i. e., to just before DES and the public release of asymmetric key cryptography ).
* Public-key cryptography for information on asymmetric cryptography
Since both encryption and decryption use only simple polynomial multiplication, these operations are very fast compared to other asymmetric encryption schemes, such as RSA, El Gamal and elliptic curve cryptography.
Public / private key pairs used in asymmetric encryption ( public key cryptography ) must be much longer than 128 bits for security ; see key size for more details.

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