The decisional Diffie–Hellman (DDH) assumption is a computational hardness assumption about a certain problem involving discrete logarithms in cyclic...
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computational Diffie–Hellman (CDH) assumption is a computational hardness assumption about the Diffie–Hellman problem. The CDH assumption involves the...
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The Diffie–Hellman problem (DHP) is a mathematical problem first proposed by Whitfield Diffie and Martin Hellman in the context of cryptography and serves...
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difficulty of the Decisional Diffie Hellman Problem in G {\displaystyle G} . The algorithm can be described as first performing a Diffie–Hellman key exchange...
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The external Diffie–Hellman (XDH) assumption is a computational hardness assumption used in elliptic curve cryptography. The XDH assumption holds if there...
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where the decisional Diffie–Hellman assumption does not hold (as is often the case in pairing-based cryptography). The Decision Linear assumption was introduced...
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this assumption include the original Diffie–Hellman key exchange, as well as the ElGamal encryption (which relies on the yet stronger Decisional Diffie–Hellman...
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assumptions. Its security is based on the computational intractability (widely assumed, but not proved) of the Decisional Diffie–Hellman assumption....
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symmetric system using that key. Examples of asymmetric systems include Diffie–Hellman 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 Diffie–Hellman assumption, the x-logarithm problem, and the truncated point problem...
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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 Diffie–Hellman assumption • Decorrelation theory • Decrypt • DeCSS • Defence Signals...
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is secure. The proof relied on the assumption that three problems were hard: the decisional Diffie–Hellman assumption (which is generally accepted to be...
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a publicly known base point is infeasible (the computational Diffie–Hellman assumption): this is the "elliptic curve discrete logarithm problem" (ECDLP)...
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agreement. The protocol consists of little more than a Diffie–Hellman key exchange where the Diffie-Hellman generator g is created from a hash of the password...
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De Danske Husmoderforeninger, Danish women's organization Decisional Diffie–Hellman assumption Department of Digital Humanities, at King's College London...
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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 Diffie–Hellman assumption holds for F p {\displaystyle \mathbb {F} _{p}} , Naor and...
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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...
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Proof systems under the sub-group hiding, decisional linear assumption, and external Diffie–Hellman assumption that allow directly proving the pairing product...
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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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criticism received from public-key cryptography pioneers Martin Hellman and Whitfield Diffie, citing a shortened key length and the mysterious "S-boxes" as...
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generalizations of the computational Diffie–Hellman problem are believed to be infeasible while the simpler decisional Diffie–Hellman problem can be easily solved...
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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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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...
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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...
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(q(x)(x-i))} . That would violate the computational Diffie–Hellman assumption, a foundational assumption in elliptic-curve cryptography. We instead use a...
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problem, then the system is weakened. For example, the security of the Diffie–Hellman key exchange scheme depends on the difficulty of calculating the discrete...
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natural intractability assumptions. These four assumptions are: The Decisional Diffie-Hellman (DDH) assumption Strong RSA assumption SHA-1 second preimage...
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