منابع مشابه
Polynomials for Ate Pairing and Atei Pairing
The irreducible factor r(x) of Φk(u(x)) and u(x) are often used in constructing pairing-friendly curves. u(x) and uc ≡ u(x) (mod r(x)) are selected to be the Miller loop control polynomial in Ate pairing and Atei pairing. In this paper we show that when 4|k or the minimal prime which divides k is larger than 2, some u(x) and r(x) can not be used as curve generation parameters if we want Atei pa...
متن کاملAutomated Device Pairing for Asymmetric Pairing Scenarios
“Secure Device Pairing” is the process of bootstrapping secure communication between two human-operated 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. However, the devices can generally be connected using auxiliary physical ...
متن کاملPairing Lattices
We provide a convenient mathematical framework that essentially encompasses all known pairing functions based on the Tate pairing and also applies to the Weil pairing. We prove non-degeneracy and bounds on the lowest possible degree of these pairing functions and show how endomorphisms can be used to achieve a further degree reduction.
متن کاملPairing Correlations
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...
متن کاملPairing Symmetry and Pairing State in Ferropnictides: Theoretical Overview
We review the main ingredients for an unconventional pairing state in the ferropnictides, with particular emphasis on interband pairing due to magnetic fluctuations. Summarizing the key experimental prerequisites for such pairing, the electronic structure and nature of magnetic excitations, we discuss the properties of the s state that emerges as a likely candidate pairing state for these mater...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nature
سال: 1984
ISSN: 0028-0836,1476-4687
DOI: 10.1038/307572a0