This paper proposes new factorizations for computing the Neumann series. The factorizations are based on fast algorithms for small prime sizes series and the splitting of large sizes into several smaller ones. We propose a different basis for factorizations other than the well-known binary and ternary basis. We show that is possible to reduce the overall complexity for the usual binary decompos...

We construct examples of K3 surfaces of geometric Picard rank 1. Our method is a refinement of that of R. van Luijk [vL]. It is based on an analysis of the Galois module structure on étale cohomology. This allows to abandon the original limitation to cases of Picard rank 2 after reduction modulo p. Furthermore, the use of Galois data enables us to construct examples which require significantly ...

This paper presents a characterization study of the Sick LMS 200 laser scanner. A number of parameters, such as operation time, data transfer rate, target surface properties, as well as the incidence angle, which may potentially affect the sensing performance, are investigated. A probabilistic range measurement model is built based on the experimental results. The paper also analyzes the mixed ...

We consider the congruence a P s i=1 b i h i mod I where h 1 ; : : : ; hs are given modulo a zero dimensional ideal I. We give two polynomial time algorithms for determining a Grr obner basis, relative to an arbitrary term order, of the module M of solutions of the congruence, and, in particular, for nding its minimal element. These are based on a generalization of an algorithm of Faug ere et a...

In last years Schanuel’s Conjecture has played a fundamental role in Transcendental Number Theory and in decidability issues. It is not obvious to decide if two exponential constants coincide, since there may be some exponential algebraic relations. Macintyre proved that modulo Schanuel’s Conjecture it is possible. We prove, modulo Schanuel’s Conjecture, that there are algorithms which decide i...

We study homomorphic hash functions into SL2(q), the 2 × 2 matrices with determinant 1 over the field with q elements. Modulo a well supported number theoretic hypothesis, which holds in particular for all concrete homomorphisms proposed thus far, we prove that a random homomorphism is at least as secure as any concrete homomorphism. For a family of homomorphisms containing several concrete pro...

rovide energy efficient routes because mobile nodes’ operation time is idle but listens to the wireless medium

We generalist Gabidulin codes to the case of infinite fields, eventually with characteristic zero. For this purpose, we consider an abstract field extension and any automorphism in the Galois group. We derive some conditions on the automorphism to be able to have a proper notion of rank metric which is in coherence with linearized polynomials. Under these conditions, we generalize Gabidulin cod...

Background and Purpose: Preoperative fast is the essential part of preoperative care for those patients who are candidates for elective surgery. Fast prolongation results in side effects such as: sweating, irritability, decrease in blood sugar and restlessness. Despite the noticeable changes in fasting guidelines and their application in many countries, it seems that in Iran, these rules are no...