There are many useful cryptographic schemes, such as ID-based encryption, short signature, keyword searchable encryption, attribute-based encryption, functional encryption, that use a bilinear pairing. It is important to estimate the security of such pairing-based cryptosystems in cryptography. The most essential number-theoretic problem in pairing-based cryptosystems is the discrete logarithm ...

The chromosomes of multicellular animals are organized into a series of topologically independent looped domains. This domain organization is critical for the proper utilization and propagation of the genetic information encoded by the chromosome. A special set of architectural elements, called boundaries or insulators, are responsible both for subdividing the chromatin into discrete domains an...

Received Revised Nuclear pairing interaction plays a crucial role in both macroscopic-microscopic and fully macroscopic descriptions of nuclei. In the present study we discuss different pairing interactions (monopole and δ pairing forces) and the methods allowing for the particle number symmetry restoration in addition to the customary BCS treatment of pairing correlations in the context of α-d...

Phase-sensitive tests of pairing symmetry have provided strong evidence for predominantly d-wave pairing symmetry in both the holeand electron-doped high-Tc cuprate superconductors. Temperature dependent measurements in YBa2Cu3O7−δ (YBCO) indicate that the d-wave pairing dominates, with little if any imaginary component, at all temperatures from 0.5K through Tc. In this article we review some o...

ETRI Journal, Volume 30, Number 1, February 2008 Since many efficient algorithms for implementing pairings have been proposed such as ηT pairing and the Ate pairing, pairings could be used in constraint devices such as smart cards. However, the secure implementation of pairings has not been thoroughly investigated. In this paper, we investigate the security of ηT pairing over binary fields in t...

We analyze how the spatial localization properties of pairing correlations are changing in a major neutron shell of heavy nuclei. It is shown that the radial distribution of the pairing density depends strongly on whether the chemical potential is close to a low or a high angular momentum level and has little sensitivity to whether the pairing force acts at the surface or in the bulk. The pairi...

Besides, more common and better known somatic pairing of homologous chromosome regions (Painter 1933), another kind of pairing has been observed which involves bands at non-homologous positions along the chromosome(s) . Bridges (1935) was the pioneer to report this type of pairing in the salivary chro mosomes of Drosophila melanogaster, and later Metz and Lawrence (1938) and Metz (1947) observe...

“Secure Device Pairing” is the process of bootstrapping secure communication between two devices over a shortor medium-range wireless channel (such as Bluetooth, WiFi). The devices in such a scenario can neither be assumed to have a prior context with each other nor do they share a common trusted authority. Fortunately, the devices can generally be connected using auxiliary physical channel(s) ...