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The affine cipher is a type of monoalphabetic substitution cipher, where each letter in an alphabet is mapped to its numeric equivalent, encrypted using a simple mathematical function, and converted back to a letter. The formula used means that each letter encrypts to one other letter, and back again, meaning the cipher is essentially a ...
where U is the unicity distance, H(k) is the entropy of the key space (e.g. 128 for 2 128 equiprobable keys, rather less if the key is a memorized pass-phrase). D is defined as the plaintext redundancy in bits per character. Now an alphabet of 32 characters can carry 5 bits of information per character (as 32 = 2 5).
In cryptography, linear cryptanalysis is a general form of cryptanalysis based on finding affine approximations to the action of a cipher. Attacks have been developed for block ciphers and stream ciphers. Linear cryptanalysis is one of the two most widely used attacks on block ciphers; the other being differential cryptanalysis.
Some classical ciphers (e.g., the Caesar cipher) have a small key space. These ciphers can be broken with a brute force attack , that is by simply trying out all keys. Substitution ciphers can have a large key space, but are often susceptible to a frequency analysis , because for example frequent letters in the plaintext language correspond to ...
Multivariate Quadratics involves a public and a private key. The private key consists of two affine transformations, S and T, and an easy to invert quadratic map ′:.We denote the matrix of the affine endomorphisms: by and the shift vector by and similarly for :.
In cryptography, key size or key length refers to the number of bits in a key used by a cryptographic algorithm (such as a cipher).. Key length defines the upper-bound on an algorithm's security (i.e. a logarithmic measure of the fastest known attack against an algorithm), because the security of all algorithms can be violated by brute-force attacks.
Elon Musk speaks with President-elect Donald Trump at a viewing of the launch of the sixth test flight of the SpaceX Starship rocket in Brownsville, Texas, on November 19, 2024.
The effective key size, in number of bits, is the binary logarithm of the key space size. There are matrices of dimension n × n. Thus or about is an upper bound on the key size of the Hill cipher using n × n matrices. This is only an upper bound because not every matrix is invertible and thus usable as a key.