• The decisional DiffieHellman (DDH) assumption is a computational hardness assumption about a certain problem involving discrete logarithms in cyclic...
    7 KB (1,120 words) - 21:48, 16 April 2025
  • computational DiffieHellman (CDH) assumption is a computational hardness assumption about the DiffieHellman problem. The CDH assumption involves the...
    6 KB (796 words) - 00:01, 8 March 2025
  • The DiffieHellman problem (DHP) is a mathematical problem first proposed by Whitfield Diffie and Martin Hellman in the context of cryptography and serves...
    8 KB (946 words) - 12:04, 5 May 2025
  • difficulty of the Decisional Diffie Hellman Problem in G {\displaystyle G} . The algorithm can be described as first performing a DiffieHellman key exchange...
    10 KB (1,473 words) - 11:12, 31 March 2025
  • The external DiffieHellman (XDH) assumption is a computational hardness assumption used in elliptic curve cryptography. The XDH assumption holds if there...
    5 KB (565 words) - 02:40, 18 June 2024
  • where the decisional DiffieHellman assumption does not hold (as is often the case in pairing-based cryptography). The Decision Linear assumption was introduced...
    6 KB (980 words) - 19:59, 30 May 2024
  • this assumption include the original DiffieHellman key exchange, as well as the ElGamal encryption (which relies on the yet stronger Decisional Diffie–Hellman...
    27 KB (3,303 words) - 17:58, 17 February 2025
  • assumptions. Its security is based on the computational intractability (widely assumed, but not proved) of the Decisional DiffieHellman assumption....
    7 KB (1,125 words) - 17:33, 23 July 2024
  • Thumbnail for Cryptography
    symmetric system using that key. Examples of asymmetric systems include DiffieHellman key exchange, RSA (Rivest–Shamir–Adleman), ECC (Elliptic Curve Cryptography)...
    99 KB (10,975 words) - 11:30, 14 May 2025
  • proof for Dual EC DRBG, based on the assumed hardness of the Decisional DiffieHellman assumption, the x-logarithm problem, and the truncated point problem...
    29 KB (3,633 words) - 08:24, 16 April 2025
  • computational Diffie-Hellman assumption alone. See decisional Diffie-Hellman assumption for a discussion of groups where the assumption is believed to...
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  • Davies attack • Davies–Meyer hash • DEAL • Decipherment • Decisional DiffieHellman assumption • Decorrelation theory • Decrypt • DeCSS • Defence Signals...
    67 KB (2,932 words) - 23:20, 16 May 2025
  • is secure. The proof relied on the assumption that three problems were hard: the decisional DiffieHellman assumption (which is generally accepted to be...
    67 KB (6,730 words) - 18:56, 3 April 2025
  • a publicly known base point is infeasible (the computational DiffieHellman assumption): this is the "elliptic curve discrete logarithm problem" (ECDLP)...
    39 KB (4,676 words) - 10:16, 27 April 2025
  • agreement. The protocol consists of little more than a DiffieHellman key exchange where the Diffie-Hellman generator g is created from a hash of the password...
    7 KB (1,005 words) - 19:54, 26 August 2023
  • De Danske Husmoderforeninger, Danish women's organization Decisional DiffieHellman assumption Department of Digital Humanities, at King's College London...
    761 bytes (123 words) - 13:44, 4 July 2022
  • Agreement. R. Canetti, (Ed.) Vol. 18, No. 3, 2005 Chapter on the Decisional Diffie-Hellman Assumption. Encyclopedia of Cryptography and Security, H. van Tilborg...
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  • function f a ( x ) {\displaystyle f_{a}(x)} . Suppose the decisional DiffieHellman assumption holds for F p {\displaystyle \mathbb {F} _{p}} , Naor and...
    11 KB (1,975 words) - 18:53, 25 January 2024
  • be secure: the decisional Diffie-Hellman problem, the x-logarithm problem, and the truncated point problem. The decisional Diffie-Hellman problem is widely...
    17 KB (1,979 words) - 23:02, 21 April 2025
  • Proof systems under the sub-group hiding, decisional linear assumption, and external DiffieHellman assumption that allow directly proving the pairing product...
    25 KB (2,465 words) - 20:46, 16 April 2025
  • relies on the Strong Diffie Hellman assumption (SDH) and a new assumption in bilinear groups called the Decision linear assumption (DLin). A more formal...
    9 KB (1,058 words) - 10:52, 13 July 2024
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    criticism received from public-key cryptography pioneers Martin Hellman and Whitfield Diffie, citing a shortened key length and the mysterious "S-boxes" as...
    60 KB (6,714 words) - 15:08, 11 April 2025
  • generalizations of the computational DiffieHellman problem are believed to be infeasible while the simpler decisional DiffieHellman problem can be easily solved...
    8 KB (1,150 words) - 00:30, 9 August 2024
  • Unlike more widely used and known public-key schemes such as the RSA, Diffie-Hellman or elliptic-curve cryptosystems — which could, theoretically, be defeated...
    24 KB (2,852 words) - 05:01, 2 May 2025
  • Ring learning with errors (category Computational hardness assumptions)
    for currently used public key algorithms like RSA and Elliptic Curve Diffie-Hellman which require public key sizes of 3072 bits and 256 bits, respectively...
    20 KB (2,962 words) - 19:28, 17 May 2025
  • can be reduced to solving some hard mathematical problem (e.g., Decisional Diffie-Hellman or the Quadratic Residuosity Problem). Other, semantically insecure...
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  • "Quantum Resistant Public Key Exchange: The Supersingular Isogenous Diffie-Hellman Protocol – CoinFabrik Blog". blog.coinfabrik.com. 13 October 2016. Archived...
    81 KB (9,073 words) - 05:33, 17 April 2025
  • (q(x)(x-i))} . That would violate the computational DiffieHellman assumption, a foundational assumption in elliptic-curve cryptography. We instead use a...
    47 KB (7,701 words) - 08:55, 26 February 2025
  • Thumbnail for Cryptanalysis
    problem, then the system is weakened. For example, the security of the DiffieHellman key exchange scheme depends on the difficulty of calculating the discrete...
    45 KB (5,235 words) - 09:20, 15 May 2025
  • natural intractability assumptions. These four assumptions are: The Decisional Diffie-Hellman (DDH) assumption Strong RSA assumption SHA-1 second preimage...
    21 KB (5,287 words) - 19:49, 24 January 2023