Barreto-Lynn-Scott (BLS) curves are a stand-out candidate for implementing high-security pairings. This paper shows that particular choices of the pairing-friendly search parameter give rise to four subfamilies of BLS curves, all of which offer highly efficient and implementationfriendly pairing instantiations. Curves from these particular subfamilies are defined over prime fields that support ...

We examine the validity of a macroeconomic version of the ModiglianiMiller theorem. By this we understand that different equilibrium capital structures have no impact on the allocation of commodities and on welfare. We develop a general equilibrium model with two production sectors, riskaverse households, and financial intermediation by banks. Banks are funded by deposits and (outside) equity a...

A common scenario in many pairing-based cryptographic protocols is that one argument in the pairing is fixed as a long term secret key or a constant parameter in the system. In these situations, the runtime of Miller’s algorithm can be significantly reduced by storing precomputed values that depend on the fixed argument, prior to the input or existence of the second argument. In light of recent...

DURING the past decade vascular malformations of the superior mediastinum have been the object of intense clinical interest. However, the occurrence of anomalies of the pulmonary artery as a cause of tracheobronchial obstruction has gone almost unrecognized. We previously reported 3 cases in which significant respiratory obstruction was produced by a left pulmonary artery coursing anomalously a...