Identity based encryption in ddh hard groups
http://www.tcs.hut.fi/Studies/T-79.515/slides/S5.Kirichenko.pdf WebIdentity-Based Encryption from the Di e-Hellman Assumption? Nico D ottling and Sanjam Garg University of California, Berkeley ... Racko and Vahlis [42] show that black-box use of a group over which DDH is assumed to be hard is insu cient for realizing IBE. 1.1 Our Results In this work, we show a fully-secure construction of IBE and a ...
Identity based encryption in ddh hard groups
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Webgroups of imaginary quadratic elds and their use for DL based cryptography are given in Appendix B. 2 DDH Group with an Easy DL Subgroup In this section, we introduce and formalize the concept of a group in which the decisional Di e-Hellman problem is hard, whereas it contains a subgroup in which the discrete logarithm problem is easy. WebAttribute-Based Encryption (CP-ABE) [BSW07] generalizes public-key encryption, and how attribute certificates generalize identity certificates in X.509 PKIs [FH02].
WebMachinery: t-DDH assumption (as a relaxation of DDH). Informally, a group G satisfies the t-DDH assumption (0 < t ≤ log(ord(G))) if given the pair (ga, gb), the value gab contains t bits of computational entropy. Then the entropy-smoothing theorem gives us a way to efficiently transform (via universal hashing) DH values over groups in which the t-DDH assumption … WebThe 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 .
WebIdentity-Based Encryption in DDH Hard Groups. Olivier Blazy, Saqib A. Kakvi. Identity-Based Encryption in DDH Hard Groups. In Lejla Batina, Joan Daemen, editors, … Web(GDH) group if DDH is easy in G but CDH is hard I Definition is independent of presence of bilinear map I Bilinear maps may be viewed as an attempt to make GDH groups. ... I 2001: Boneh and Franklin’s identity-based encryption scheme I First practical IBE scheme I Showed bilinear maps allowed dramatic new constructions, very influential.
Web23 jan. 2024 · (Key-policy) attribute-based encryption (KP-ABE) is a powerful and useful generalization of identity-based encryption (IBE). In a KP-ABE system, ciphertexts are …
WebIdentity Based Encryption in DDH hard Groups Olivier Blazy1[0000 −0001 6205 8249] and Saqib A. Kakvi2[0000 0003 4425 4240] 1 Ecole Polytechnique, France´ … misuse of technology in criminal justiceWebThe decision-Diffie-Hellman problem (DDH) is a central computational problem in cryptography. It is known that the Weil and Tate pairings can be used to solve many DDH problems on elliptic curves. Distortion maps are an important tool for solving DDH problems using pairings and it is known that distortion maps exist for all supersingular elliptic curves. info tgwh.deWebA tight impossibility result is proved for generic-group identity-based encryption, ruling out the existence of any non-trivial construction, and it is shown that any scheme whose public parameters include npp group elements may support at most npp identities. Following the pioneering work of Boneh and Franklin (CRYPTO ’01), the challenge of constructing an … misuse of statistics in healthcareWeb6 okt. 2024 · Identity-Based Encryption (IBE) was first proposed by Shamir and is a generalisation of standard Public Key Encryption (PKE), wherein instead of each user generating a public key themselves, their unique identifier, such as their e-mail … The concept of Identity-Based Encryption was first introduced by Shamir … misuse of the 999 system offenceWebCryptographic Group Actions and Applications Navid Alamati Luca De Feoy Hart Montgomery z Sikhar Patranabisx Abstract Isogeny-based assumptions have emerged as a viable option for quantum-secure cryptography. Recent works have shown how to build efficient (public-key) primitives from isogeny-based assumptions such as CSIDH and … infothek big dutchmanWebisogeny-based assumptions, CSIDH, its predecessors, and its derivatives are the only ones amenable to group actions. Known primitives from isogeny-based assumptions. There … misuse of technology pdfWeb6 okt. 2024 · The concept of Identity-Based Encryption was first introduced by Shamir (CRYPTO 1984) but were not realised until much later by Sakai, Ohgishi and Kasahara … infotheke messestand