Decisional bilinear diffie-hellman assumption
WebThe Decisional Diffie-Hellman (DDH) problem is: Given some group G and group elements g, and the elements g a, g b and g c, determine whether g c = g a b. These are obviously related problems, the difference is that the CDH problem asks us to derive the DH shared secret, while the DDH problem just asks us to recognize it. WebAug 31, 2024 · Besides, our scheme supports multiple keywords search, which makes the scheme more practical. Under the assumption of decisional bilinear Diffie-Hellman exponent (q-BDHE) and decisional Diffie-Hellman (DDH) in the selective security model, we prove that our scheme is secure. MeSH terms
Decisional bilinear diffie-hellman assumption
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WebMay 23, 2024 · Boneh-Boyen signatures and the strong Diffie-Hellman problem. In Hovav Shacham and Brent Waters, editors, PAIRING 2009: 3rd International Conference on Pairing-based Cryptography, volume 5671 of Lecture Notes in Computer Science, pages 1--16, Palo Alto, CA, USA, August 12--14, 2009. WebJan 1, 2002 · Abstract. The Bi-linear Diffie-Hellman (BDH) intractability assumptionis required to establish the security of new Weil-pairing based cryptosystems. BDH is …
The decisional Diffie–Hellman (DDH) assumption is a computational hardness assumption about a certain problem involving discrete logarithms in cyclic groups. It is used as the basis to prove the security of many cryptographic protocols, most notably the ElGamal and Cramer–Shoup cryptosystems. See more The problem of detecting DDH tuples is random self-reducible, meaning, roughly, that if it is hard for even a small fraction of inputs, it is hard for almost all inputs; if it is easy for even a small fraction of inputs, it is easy for almost … See more • Diffie–Hellman problem • Diffie–Hellman key exchange • Computational hardness assumptions See more When using a cryptographic protocol whose security depends on the DDH assumption, it is important that the protocol is implemented using groups where DDH is believed to hold: • The subgroup of $${\displaystyle k}$$th residues modulo a … See more
WebThe external Diffie–Hellman (XDH) assumption is a computational hardness assumption used in elliptic curve ... The decisional Diffie–Hellman problem (DDH) is intractable in . The ... the existence of an efficiently-computable bilinear map (pairing) can allow for practical solutions to the DDH problem. These groups, referred to as ... WebJan 5, 2024 · The underlying assumptions of our construction are the decisional bilinear Diffie–Hellman assumption and the existence of a pseudorandom function. Our …
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WebWe propose a new computational problem and call it the twin bilinear Diffie-Hellman inversion (BDHI) problem.Inspired by the technique proposed by Cash, Kiltz and Shoup, we have developed a new trapdoor test which enables us to prove that the twin BDHI problem is at least as hard as the ordinary BDHI problem even in the presence of a decision oracle … cleaning the inside of a keurigWeb$\begingroup$ @DrLecter Actually, my intention is to base the security of the scheme on the Gap Bilinear Diffie Hellman (gap-BDH) problem, which is assumed to be hard, and … do you go to prison for manslaughterWebThe Decisional Diffie–Hellman (DDH) Assumption (Version II): The following two distributions are computationally indistinguishable: \(G,g,g^x,g^y,g^{xy}\) ... Here let us … do you go to rehab after knee replacementWebApr 7, 2016 · TDH: The Twin Diffie-Hellman Assumption; XTR-DL: XTR discrete logarithm problem ; XTR-DH: XTR Diffie-Hellman problem ; ... l-wDBDHI: l-weak Decisional Bilinear Diffie-Hellman Inversion Problem; KSW2: Assumption 2 of Katz-Sahai-Waters ; MSEDH: Multi-sequence of Exponents Diffie-Hellman Assumption ; do you go to hell for lyingWebAn algorithm that solves the computational Diffie-Hellman problem is a probabilistic polynomial time Turing machine, on input g, gx, gy, outputs gxy with non-negligible probability. The Computational Diffe-Hellman assumption means that such a probabilistic polynomial time Turing Machine does not exist. This assumption is believed to be true … cleaning the inside of toaster ovenWebMar 1, 2024 · The attack shows the user collusion cannot be avoided. Subsequently, a new privacy-preserving decentralized KP-ABE is proposed. The proposed scheme avoids the linear attacks at present and achieves the user collusion avoidance. We also show that the security of the proposed scheme is reduced to decisional bilinear Diffie-Hellman … cleaning the instant potWebBased on the decisional Diffie–Hellman (D D H) assumption, A S generates a group (G) and chooses a generator g from the group and a large prime number (q), ... The Decision … do you go to school in spanish