Sentence examples for extension degree from inspiring English sources

They are easily manufactured, have a high surface extension degree, high convective heat transfer intensity and a low aerodynamic drag.

We provide theoretical and experimental evidence that our method is faster and requires less memory than FPPR method when the extension degree is large enough.

This led us to introduce mn variables d j,ℓ instead of m variables only in the composite extension degree case.

In this paper, we focus on Diem's version of index calculus for ECDLP over a binary field of prime extension degree n [3,7,15].

However, the experiments in this study proved that oxide volume extension degree has a decisive effect on the growth type of nanostructures.

In Section 3, we describe our variant of FPPR method taking advantage of the symmetries even when the extension degree is prime.

Body-condylar angle changes are related with extension degrees of the elbow [35].

Petit and Quisquater estimated that the method could beat generic algorithms for extension degrees n larger than about 2000 [15].

The symmetry of Semaev's polynomials has been exploited in previous works, but always for finite fields (mathbb {F}_{p^{n}}) with composite extension degrees n.

While symmetries had also been exploited in similar ECDLP algorithms for curves defined over finite fields with composite extension degrees, our method is the first one in the case of extension fields with prime extension degrees, which is the most interesting case for applications.

At Eurocrypt 2012, Faugère, Perret, Petit and Renault proposed a new method (FPPR method) using a multivariable polynomial system to solve ECDLP over finite fields of characteristic 2. At Asiacrypt 2012, Petit and Quisquater showed that this method may beat generic algorithms for extension degrees larger than about 2000.