WebJan 13, 2016 · In this section, we give instantiations of UHPS from widely-accepted number theoretic assumptions, such as the SXDH assumption and the d-linear assumption. … WebEUROCRYPT. Polynomial-Time Cryptanalysis of the Subspace Flooding Assumption for Post-Quantum iO Abstract. Aayush Jain Huijia Lin Paul Lou Amit Sahai. 2024. EUROCRYPT. On the Optimal Succinctness and Efficiency of Functional Encryption and Attribute-Based Encryption Abstract. Aayush Jain Huijia Lin Ji Luo. 2024.
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WebMay 1, 2024 · under the symmetric external Diffie–Hellman (SXDH) assumption, which is a static assump- tion. Particularly , in the non-hierarchical case, our construction is the first IKE scheme that WebDec 22, 2024 · We say the SXDH assumption holds if for all polynomial time algorithm adversaries and both , is negligible in . Definition 4 (-SDH, -Strong Diffie–Hellman assumption ). The adversary ’s advantage in -SDH assumption is defined as where ,, and . We say the -SDH assumption holds if for all polynomial time algorithm adversaries , is … code of practice social workers wales
How to Aggregate the CL Signature Scheme - Semantic Scholar
WebBoth our schemes are based on SXDH, which is a well-studied standard assumption, and secure in the standard model. Furthermore, our schemes are quite ffit, incurring an ffi loss by only a small constant factor from previous bounded function hiding schemes. Keywords: functional encryption, inner product, function hiding, un-bounded, bilinear maps WebFunctional encryption (FE) is a novel cryptographic paradigm. In comparison to conventional encryption schemes, FE allows producing secret keys skf corresponding to a function f that decrypt encryptions of x0 to f(x0). Recently, Lin proposed FE for arbitrary degree polynomials from the SXDH assumption to an exact multilinear map (CRYPTO’17). Webschemes, we show the performance in the SXDH setting. Our schemes are instantiated with the Kiltz–Pan–Wee structure-preserving signature scheme from the SXDH assumption [6] and the Groth–Sahai proof system in the SXDH setting [5]. We also note that all the five schemes in this table are instantiated in prime order groups. code of practice trustees