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  2. RSA (cryptosystem) - Wikipedia

    en.wikipedia.org/wiki/RSA_(cryptosystem)

    Breaking RSA encryption is known as the RSA problem. Whether it is as difficult as the factoring problem is an open question. [3] There are no published methods to defeat the system if a large enough key is used. RSA is a relatively slow algorithm. Because of this, it is not commonly used to directly encrypt user data.

  3. Optimal asymmetric encryption padding - Wikipedia

    en.wikipedia.org/wiki/Optimal_asymmetric...

    The OAEP algorithm is a form of Feistel network which uses a pair of random oracles G and H to process the plaintext prior to asymmetric encryption. When combined with any secure trapdoor one-way permutation f {\displaystyle f} , this processing is proved in the random oracle model to result in a combined scheme which is semantically secure ...

  4. Coppersmith's attack - Wikipedia

    en.wikipedia.org/wiki/Coppersmith's_attack

    Coppersmith's attack describes a class of cryptographic attacks on the public-key cryptosystem RSA based on the Coppersmith method.Particular applications of the Coppersmith method for attacking RSA include cases when the public exponent e is small or when partial knowledge of a prime factor of the secret key is available.

  5. Coppersmith method - Wikipedia

    en.wikipedia.org/wiki/Coppersmith_method

    The method uses the Lenstra–Lenstra–Lovász lattice basis reduction algorithm (LLL) to find a polynomial that has the same zeroes as the target polynomial but smaller coefficients. In cryptography, the Coppersmith method is mainly used in attacks on RSA when parts of the secret key are known and forms a base for Coppersmith's attack.

  6. Deterministic encryption - Wikipedia

    en.wikipedia.org/wiki/Deterministic_encryption

    A deterministic encryption scheme (as opposed to a probabilistic encryption scheme) is a cryptosystem which always produces the same ciphertext for a given plaintext and key, even over separate executions of the encryption algorithm.

  7. Mask generation function - Wikipedia

    en.wikipedia.org/wiki/Mask_generation_function

    Mask generation functions were first proposed as part of the specification for padding in the RSA-OAEP algorithm. The OAEP algorithm required a cryptographic hash function that could generate an output equal in size to a "data block" whose length was proportional to arbitrarily sized input message.

  8. RSA problem - Wikipedia

    en.wikipedia.org/wiki/RSA_problem

    In cryptography, the RSA problem summarizes the task of performing an RSA private-key operation given only the public key. The RSA algorithm raises a message to an exponent, modulo a composite number N whose factors are not known. Thus, the task can be neatly described as finding the e th roots of an arbitrary number, modulo N.

  9. RSA Factoring Challenge - Wikipedia

    en.wikipedia.org/wiki/RSA_Factoring_Challenge

    RSA Laboratories stated: "Now that the industry has a considerably more advanced understanding of the cryptanalytic strength of common symmetric-key and public-key algorithms, these challenges are no longer active." [6] When the challenge ended in 2007, only RSA-576 and RSA-640 had been factored from the 2001 challenge numbers. [7]