Dlin assumption
WebThe Decision Linear (DLIN) assumption is a mathematical assumption used in elliptic curve cryptography. In particular, the DLIN assumption is useful in settings where the … WebSep 3, 2014 · A key-policy attribute-based encryption (KP-ABE) scheme with constant-size ciphertexts, whose selective security is proven under the decisional linear (DLIN) assumption in the standard model and which has semi-adaptively security, which is a recently proposed notion of security. Expand
Dlin assumption
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Webthe existence of a Boolean Pseudo-Random Generator (PRG) in NC0 with polynomial stretch, the Decision Linear (DLIN) assumption on symmetric bilinear groups. Then, … The Decision Linear (DLIN) assumption is a computational hardness assumption used in elliptic curve cryptography. In particular, the DLIN assumption is useful in settings where the decisional Diffie–Hellman assumption does not hold (as is often the case in pairing-based cryptography). See more In symmetric pairing-based cryptography the group G is equipped with a pairing e:G×G→T which is bilinear. This map gives an efficient … See more Let G be a cyclic group of prime order p. Let u, v, and h be uniformly random generators of G. Let a,b be uniformly random elements of {1,2,…,p−1}. Define a distribution 1. … See more
http://cyber.biu.ac.il/wp-content/uploads/2024/01/Boneh-basics-of-pairings-4.pdf WebMay 25, 2024 · the Decision Linear ( \mathsf {DLIN}) assumption on symmetric bilinear groups of prime order. Then, (subexponentially secure) indistinguishability obfuscation for all polynomial-size circuits exists. Assuming only polynomial security of the assumptions above yields polynomially secure functional encryption for all polynomial-size circuits.
WebA typical linear assumption is the decision linear assumption (DLIN) which states that in a group $G$ of prime order $p$ distinguishing between $(aP,bQ,cR)$ and $(aP,bQ,(a+b)R)$ for generators $P,Q,R$ is hard … WebNov 8, 2024 · For any probabilistic polynomial-time (PPT) adversary , its advantage in solving the decision linear (DLIN) problem in is where the probability is taken over all possible choices of . We say that the DLIN assumption holds in if there exists a negligible function such that for any PPT algorithm . 4. System Architecture and Security Model 4.1.
WebDLIN assumption. I am confused, which assumption can I make for generating NIWI PoK of BLS signature? Q1. Can I use SXDH assumption based NIWI PoK i.e. is it valid to …
WebNov 25, 2016 · Our results and techniques are categorized and summarized as follows. 1.2.1 Contribution 1: IBE in bounded memory leakage model. We show leakage-resilient IBE schemes which achieve the maximum-possible leakage rate \(1-o(1)\) in the standard model under the DLIN assumption. Precise values are in Table 1.. Technically, from the … pine point road oxford meWebJun 19, 2024 · Besides, we give its security proof given our introduced security model in the ROM based on the DLIN assumption and DDH assumption. Nevertheless, our proposed FS-PAEKS scheme mainly focuses on the single-user setting, which seems interesting to study its generalization under the multi-user setting for exploring more practical … pine point road port perryWebwith k ˘ 2 (i.e., DLIN assumption), it enjoys shorter master public key and secret keys under weaker assumption than Okamoto and Takashima’s IPE, but we have slightly larger ciphertexts. With parameter k ˘ 1 (i.e., SXDH assumption), we can also achieve shorter ciphertexts but at the cost of basing the security on a stronger assumption. pine point rentals by ownerWebThe Decision Linear (DLIN) assumption is a mathematical assumption used in elliptic curve cryptography. In particular, the DLIN assumption is useful in settings where the decisional Diffie–Hellman assumption does not hold … top notch menu austin txWebThe decision linear assumption (DLIN) [BBS’04] The k-DLIN assumption in G: (prime order q) Hierarchy: DDH ≣ 1-DLIN ≥ 2-DLIN ≥ …≥ k-DLIN ≥ … Fact: (k+1)-linear map in G ⇒ k-DLIN is false (homework) Assumption: k-DLIN holds even if k’-linear map in G for k’≤k g 1, g 2 , …, g k, g k+1 g 1 x1, g pine point rentals scarborough maineWeblinear (DLIN) assumption [BBS04] and its generalizations. One downside of this translation methodology is that it essentially tries to simulate the subgroup structure in the composite- pine point recreation siteWebSpecifically, we show how to adapt the recent DLIN-based instantiations of Lewko (Eurocrypt ’12) to the SXDH assumption. To our knowledge, this is the first work to instantiate either dual system encryption or dual pairing vector spaces under the SXDH assumption. Keywords Signature Scheme Random Oracle Challenge Ciphertext … top notch metal roofing