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  2. RSA (cryptosystem) - Wikipedia

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

    The security of RSA relies on the practical difficulty of factoring the product of two large prime numbers, the "factoring problem". 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.

  3. PKCS 1 - Wikipedia

    en.wikipedia.org/wiki/PKCS_1

    The RSA private key may have two representations. The first compact form is the tuple (,), where d is the private exponent. The second form has at least five terms ⁠ (,,,,) ⁠, or more for multi-prime keys. Although mathematically redundant to the compact form, the additional terms allow for certain computational optimizations when using the ...

  4. Ron Rivest - Wikipedia

    en.wikipedia.org/wiki/Ron_Rivest

    The publication of the RSA cryptosystem by Rivest, Adi Shamir, and Leonard Adleman in 1978 revolutionized modern cryptography by providing the first usable and publicly described method for public-key cryptography. The three authors won the 2002 Turing Award, the top award in computer science, for

  5. RSA problem - Wikipedia

    en.wikipedia.org/wiki/RSA_problem

    More specifically, the RSA problem is to efficiently compute P given an RSA public key (N, e) and a ciphertext C ≡ P e (mod N). The structure of the RSA public key requires that N be a large semiprime (i.e., a product of two large prime numbers), that 2 < e < N, that e be coprime to φ(N), and that 0 ≤ C < N.

  6. Key (cryptography) - Wikipedia

    en.wikipedia.org/wiki/Key_(cryptography)

    On the other hand, RSA is a form of the asymmetric key system which consists of three steps: key generation, encryption, and decryption. [12] Key confirmation delivers an assurance between the key confirmation recipient and provider that the shared keying materials are correct and established.

  7. Public-key cryptography - Wikipedia

    en.wikipedia.org/wiki/Public-key_cryptography

    RSA uses exponentiation modulo a product of two very large primes, to encrypt and decrypt, performing both public key encryption and public key digital signatures. Its security is connected to the extreme difficulty of factoring large integers , a problem for which there is no known efficient general technique.

  8. RSA numbers - Wikipedia

    en.wikipedia.org/wiki/RSA_numbers

    The first RSA numbers generated, from RSA-100 to RSA-500, were labeled according to their number of decimal digits. Later, beginning with RSA-576, binary digits are counted instead. An exception to this is RSA-617, which was created before the change in the numbering scheme.

  9. Deterministic encryption - Wikipedia

    en.wikipedia.org/wiki/Deterministic_encryption

    There are some Public Key encryption schemes that allow keyword search, [1] [2] [3] however these schemes all require search time linear in the database size. If the database entries were encrypted with a deterministic scheme and sorted, then a specific field of the database could be retrieved in logarithmic time.