In many pairing-based protocols often the evaluation of the product of many pairing evaluations is required. In this paper we consider methods to compute such products efficiently. Focusing on pairingfriendly fields in particular, we evaluate methods for the Weil, Tate and Ate pairing algorithms for ordinary elliptic curves at various security levels. Our operation counts indicate that the mini...

We show that the Nambu-Goldstone formalism of the broken gauge symmetry in the presence of the T=1 pairing condensate offers a quantitative description of the binding-energy differences of open-shell superfluid nuclei. We conclude that the pairing-rotational moments of inertia are excellent pairing indicators, which are free from ambiguities attributed to odd-mass systems. We offer a new, unifi...

Meiotic homologous pairing is crucial to proper homologous recombination, which secures subsequent reductional chromosome segregation. We have identified a novel meiosis-specific protein of fission yeast Schizosaccharomyces pombe, Meu13p, to be a molecule that is required for proper homologous pairing and recombination. Rec12p (homologue of Saccharomyces cerevisiae Spo11p), which is essential f...

This paper addresses the issues related with conventional near–far user pairing in non-orthogonal multiple access. Performance effects of near–far pairing on regions with negligible channel gain differences between users are investigated. These regions occur when pairing is performed between cell center and cell edge users, thus leaving the cell mid users to be either paired with each other or ...

This report summarizes study results on pairing-based cryptography. The main purpose of the study is to form NIST's position on standardizing and recommending pairing-based cryptography schemes currently published in research literature and standardized in other standard bodies. The report reviews the mathematical background of pairings. This includes topics such as pairing-friendly elliptic cu...

We examine the fission barriers, mass parameters and spontaneous fission half lives of fermium isotopes within the framework of macroscopic-microscopic model with a δ-pairing interaction. Four different macroscopic models are applied and studied. The results are compared to experimental data and to the corresponding monopole pairing ones. The half lives obtained in the δ-pairing model are compa...

Abstract. Pairing-based cryptography (PBC) has enabled the construction of many cryptographic protocols. However, there are scenarios when PBC is too heavyweight to use, such as when the computing devices are resource-constrained. Pairing delegation introduced in [19] provides a solution by offloading the computation to more powerful entities. In this paper, we introduce the concept of, and con...

Injection of 0-5 % colchicine into immature tillers of genotypes of Triticum aestivum, T. aestivum x Aegilops mutica and T. aestivum x Secale cereale hybrids induces asynapsis at first meiotic metaphase irrespective of the homologous or homoeologous nature of the potential pairing chromosomes. The induction of asynapsis occurs at a time during and immediately following the last premeiotic mitos...

Part 1: description of odd nuclei in mean-field theories. Abstract In order to extract informations on pairing correlations in nu-clei from experimental mass differences, the different contributions to odd-even mass differences are investigated within the Skyrme HFB 1 method. In this first paper, the description of odd nuclei within HFB is discussed since it is the key point for the understandi...

The secure “pairing” of wireless devices based on auxiliary or out-of-band (OOB) communication, such as audio, visual, or tactile channels, is a well-established research direction. However, prior work shows that this approach to pairing can be prone to human errors of different forms that may directly or indirectly translate into man-in-the-middle attacks. To address this problem, we propose a...