• The RSA (Rivest–Shamir–Adleman) cryptosystem is a public-key cryptosystem, one of the oldest widely used for secure data transmission. The initialism...
    60 KB (7,783 words) - 17:51, 26 May 2025
  • Thumbnail for RSA Security
    patent on the RSA cryptosystem technology granted in 1983. In 1994, RSA was against the Clipper chip during the Crypto War. In 1995, RSA sent a handful...
    36 KB (3,685 words) - 01:58, 4 March 2025
  • public-key type of cryptosystem. A classical example of a cryptosystem is the Caesar cipher. A more contemporary example is the RSA cryptosystem. Another example...
    4 KB (497 words) - 22:26, 16 January 2025
  • The Rabin cryptosystem is a family of public-key encryption schemes based on a trapdoor function whose security, like that of RSA, is related to the difficulty...
    14 KB (2,077 words) - 14:01, 26 March 2025
  • Thumbnail for Euler's totient function
    is the order of the multiplicative group of integers modulo n. The RSA cryptosystem is based on this theorem: it implies that the inverse of the function...
    44 KB (6,519 words) - 23:25, 21 May 2025
  • used in GM encryption is generated in the same manner as in the RSA cryptosystem. (See RSA, key generation for details.) Alice generates two distinct large...
    7 KB (976 words) - 18:47, 24 August 2023
  • eventual security of RSA-based cryptosystems—both for public-key encryption and digital signatures. More specifically, the RSA problem is to efficiently...
    5 KB (681 words) - 13:17, 1 April 2025
  • {\displaystyle E(m)\oplus t=m\oplus t\oplus S(k)=E(m\oplus t)} . In the RSA cryptosystem, a plaintext m {\displaystyle m} is encrypted as E ( m ) = m e mod...
    7 KB (983 words) - 18:50, 17 May 2025
  • included the following schemes: RSA cryptosystem (unbounded number of modular multiplications) ElGamal cryptosystem (unbounded number of modular multiplications)...
    42 KB (4,692 words) - 23:00, 1 April 2025
  • Merkle-Hellman Public Key Cryptosystem, one of the first public key cryptosystems, published the same year as the RSA cryptosystem. However, this system has...
    3 KB (308 words) - 20:21, 21 September 2023
  • security, compared to cryptosystems based on modular exponentiation in Galois fields, such as the RSA cryptosystem and ElGamal cryptosystem. Elliptic curves...
    39 KB (4,677 words) - 13:04, 20 May 2025
  • However, many cryptosystems are not plaintext-aware. As an example, consider the RSA cryptosystem without padding. In the RSA cryptosystem, plaintexts and...
    4 KB (467 words) - 04:20, 5 July 2023
  • Several specific public-key cryptosystems were then proposed by other researchers over the next few years, such as RSA in 1977 and Merkle-Hellman in...
    10 KB (1,852 words) - 14:42, 11 November 2024
  • following: Damgård–Jurik cryptosystem DSA ElGamal ECDSA (these are used in protecting Bitcoin wallets) Paillier cryptosystem RSA Schnorr signature Broadcast...
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  • invested effort in developing digital signature software based on the RSA cryptosystem.: 484  Nevertheless, NIST adopted DSA as a Federal standard (FIPS 186)...
    16 KB (2,221 words) - 09:42, 28 May 2025
  • Wiener's attack (category Attacks on public-key cryptosystems)
    modulus of N. In the RSA cryptosystem, Bob might tend to use a small value of d, rather than a large random number to improve the RSA decryption performance...
    12 KB (1,758 words) - 16:13, 30 May 2025
  • Coppersmith's attack (category Attacks on public-key cryptosystems)
    the public-key cryptosystem RSA based on the Coppersmith method. Particular applications of the Coppersmith method for attacking RSA include cases when...
    8 KB (1,466 words) - 22:47, 1 May 2025
  • Thumbnail for Public-key cryptography
    password-authenticated key agreement techniques Paillier cryptosystem RSA encryption algorithm (PKCS#1) Cramer–Shoup cryptosystem YAK authenticated key agreement protocol...
    40 KB (4,512 words) - 21:09, 31 May 2025
  • Root System Architecture RSA (cryptosystem) (Rivest–Shamir–Adleman), for public-key encryption RSA Conference, annual gathering RSA Factoring Challenge, for...
    3 KB (420 words) - 00:59, 13 March 2025
  • The Paillier cryptosystem, invented by and named after Pascal Paillier in 1999, is a probabilistic asymmetric algorithm for public key cryptography. The...
    13 KB (1,929 words) - 21:01, 7 December 2023
  • terms of computation, and fares well even in comparison with cryptosystems such as RSA (depending on message length and exponent choices). However, BG...
    9 KB (2,131 words) - 04:08, 5 July 2023
  • hybrid cryptosystem to improve efficiency on long messages. Daniel Bleichenbacher. Chosen ciphertext attacks against protocols based on the RSA encryption...
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  • Thumbnail for Cryptography
    numbers, such as the RSA cryptosystem, require larger keys than elliptic curve techniques. For this reason, public-key cryptosystems based on elliptic curves...
    99 KB (10,975 words) - 18:31, 26 May 2025
  • Euler's theorem underlies the RSA cryptosystem, which is widely used in Internet communications. In this cryptosystem, Euler's theorem is used with n...
    9 KB (1,149 words) - 18:09, 9 June 2024
  • used with n not prime in public-key cryptography, specifically in the RSA cryptosystem, typically in the following way: if y = x e ( mod n ) , {\displaystyle...
    18 KB (2,372 words) - 19:29, 25 April 2025
  • Euclid in 300 BC, had no practical application before its use in the RSA cryptosystem, now widely used for the security of computer networks. In the 19th...
    163 KB (15,938 words) - 22:50, 25 May 2025
  • improvements in information set decoding. The McEliece cryptosystem has some advantages over, for example, RSA. The encryption and decryption are faster. For...
    16 KB (2,092 words) - 01:14, 27 January 2025
  • Public-key cryptosystems use a public key for encryption and a private key for decryption. Diffie–Hellman key exchange RSA encryption Rabin cryptosystem Schnorr...
    2 KB (120 words) - 10:15, 4 January 2025
  • algorithm. Examples of deterministic encryption algorithms include RSA cryptosystem (without encryption padding), and many block ciphers when used in ECB...
    7 KB (853 words) - 03:46, 23 September 2023
  • ElGamal cryptosystem is usually used as part of a hybrid cryptosystem, where the message itself is encrypted using a symmetric cryptosystem, and ElGamal...
    10 KB (1,473 words) - 11:12, 31 March 2025