• 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • computational Diffie-Hellman assumption alone. See decisional Diffie-Hellman assumption for a discussion of groups where the assumption is believed to...
    5 KB (821 words) - 17:14, 6 May 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
  • 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 (4,677 words) - 13:04, 20 May 2025
  • 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
  • Thumbnail for Forward secrecy
    secrecy typically uses an ephemeral DiffieHellman key exchange to prevent reading past traffic. The ephemeral DiffieHellman key exchange is often signed by...
    26 KB (4,006 words) - 04:16, 19 May 2025
  • 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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  • 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
  • Logjam (computer security) (category Computational hardness assumptions)
    Logjam is a security vulnerability in systems that use DiffieHellman key exchange with the same prime number. It was discovered by a team of computer...
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  • 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
  • Unlike more widely used and known public-key schemes such as the RSA, Diffie-Hellman or elliptic-curve cryptosystems — which could, theoretically, be defeated...
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  • relies on the Strong Diffie Hellman assumption (SDH) and a new assumption in bilinear groups called the Decision linear assumption (DLin). A more formal...
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  • Thumbnail for Data Encryption Standard
    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 (6,717 words) - 10:58, 20 May 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
  • 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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  • 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
  • "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