[PDF] Top 20 Trapdoor Functions from the Computational Diffie-Hellman Assumption

... Related work. Hajiabadi and Kapron [HK15] show how to build TDFs from any reproducible circularly secure single-bit PKE. Informally, a PKE is reproducible if given a public key pk 0 , a public/secret key (pk, sk) ... See full document

... Although pairing is an expensive operation, only a few pairing-free unidirectional PRE schemes have been proposed in the literature, of which only one scheme due to Chow et al. [8] reported the collusion-resistance ... See full document

... lower computational costs and communication overheads than those required by the traditional sign-then-encrypt ...signature functions in a single ... See full document

... the Diffie-Hellman operation could be considered ...the Diffie-Hellman protocol (SSL, TLS, SSH, and IPSec in particular), the shared secret encrypts a symmetric key for one of the symmetric ... See full document

... constructed from several forms of DH assumptions, ...isogeny computational DH (SI-CDH) problem with access to decision degree oracle, which determines whether two supersingular curves are isogenous of some ... See full document

... CryptHOL [2, 9] is a framework for constructing rigorous game-based proofs using the proof assistant Isabelle/HOL [13]. Games are expressed as probabilistic functional programs that are shallowly embedded in higher-order ... See full document

... Recently, Xiong et al. [H. Xiong, Z. Guan, Z. Chen, F. Li, An efficient certificate less aggregate signature with constant pairing computations, Information Science, 219, pp. 225–235, 2013] proposed an efficient ... See full document

... underlying computational assumptions em- ployed form the basis of security for the ...the Computational Diffie–Hellman (CDH) problem [20] or its variants and the Bilinear Diffie–Hellman (BDH) ... See full document

... built from the Chevallier Mames’ scheme, termed 𝑆𝐶𝑀, geared to mobile ...𝐶𝐷𝐻 assumption, 𝑆𝐶𝑀 is (i) unforgeable against chosen message attacks, (ii) secure against a malicious client, (iii) secure against a ... See full document

... Gap Diffie-Hellman problem in the random oracle ...suffers from the high computation overhead compared to other ...the assumption of Computational Diffie- Hellman Problem ... See full document

... block. From both a practical and theoretical standpoint, it is important to design efficient signature schemes whose security is proven under reliable ...hash functions mapping from an arbitrarily ... See full document

... transformation key that allows the cloud to translate any ABE cipher-text satisfied by that user's attributes or access policy into a simple cipher-text, and it only incurs a small computational overhead for the ... See full document

... The Diffie-Hellman problem as a cryptographic primitive plays an important role in modern ...of Diffie-Hellman problem in arbitrary finite cyclic group is a long-standing open problem in ... See full document

... curve from the same family over the same field could be used with only very minor modifications to the formulæ below and the source code for our implementations; we explain our specific curve choice in Appendix ... See full document

... about Diffie–Hellman and its ...group Diffie–Hellman oracles create black- box field structures on prime-order groups, while HHS Diffie–Hellman oracles create a black-box group ... See full document

... Fig3, shows that Master and Slave wants to communicate with each other .To start communication both parties need to establish secure channel .To establish secure channel both parties select a random prime number g and n ... See full document

... Shuai Han, et.al, (2011): In this paper, author uses a third party auditor scheme. Cloud computing technology acts as next generation architecture of IT solution. It enables the users to move their data and application ... See full document

... The hypercubic structure is a method often used to manage work-sharing and distribution among a set of processors. Since the formation of a contributory key is not much more than this, it is reasonable to apply the ... See full document

... Fuzzy extractors [21] convert noisy biometric data (either human or silicon) into reproducible uniform random strings, which can then serve as secret keys in cryptographic applica- tions. Fuzzy extractors typically have ... See full document

... Although Diffie-Hellman is a public-key algorithm, experts say it don't scale well for the ...that Diffie-Hellman keys shorter than 900 bits are not secure ...make Diffie-Hellman ... See full document