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Standard algorithms. In elementary arithmetic, a standard algorithm or method is a specific method of computation which is conventionally taught for solving particular mathematical problems. These methods vary somewhat by nation and time, but generally include exchanging, regrouping, long division, and long multiplication using a standard ...
The Data Encryption Standard ( DES / ˌdiːˌiːˈɛs, dɛz /) 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 . Developed in the early 1970s at IBM and based on an earlier ...
Symmetric-key algorithms [a] 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. [1] The keys, in practice, represent a shared secret between two or more parties ...
The first public collision was published on 23 February 2017. [2] SHA-1 is prone to length extension attacks. In cryptography, SHA-1 ( Secure Hash Algorithm 1) is a hash function which takes an input and produces a 160- bit (20- byte) hash value known as a message digest – typically rendered as 40 hexadecimal digits.
Algorithm. In mathematics and computer science, an algorithm ( / ˈælɡərɪðəm / ⓘ) is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. [1] Algorithms are used as specifications for performing calculations and data processing.
Gauss–Legendre algorithm: computes the digits of pi. Chudnovsky algorithm: a fast method for calculating the digits of π. Bailey–Borwein–Plouffe formula: (BBP formula) a spigot algorithm for the computation of the nth binary digit of π. Division algorithms: for computing quotient and/or remainder of two numbers.
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
It supersedes the Data Encryption Standard (DES), which was published in 1977. The algorithm described by AES is a symmetric-key algorithm, meaning the same key is used for both encrypting and decrypting the data. In the United States, AES was announced by the NIST as U.S. FIPS PUB 197 (FIPS 197) on November 26, 2001.
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