We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), Gao [Gao01] designed a polynomial time algorithm that fails to factor only if the input polynomial satisfies a strong symmetry property, namely square balance. In this paper, we propose an extension of Gao’s algorithm that fails only under an even stronger ...

Convergence of the iterative method based on the successive overrelaxation (SOR) method is investigated to solve the matrix equation in the moment analysis of array antennas. It is found this method can be applied to the sub domain method of moments with fast convergence if the grouping technique is applied and the over-relaxation parameter is properly selected, and the computation time for sol...

In non-cooperative scenarios, the estimation of direct sequence spread spectrum (DS-SS) signals has to be done in a blind manner. In this letter, we consider the spreading sequence estimation problem for DS-SS signals. First, the maximum likelihood estimate (MLE) of spreading sequence is derived, then a semidefinite relaxation (SDR) approach is proposed to cope with the exponential complexity o...

Fusing MODIS, MISR and CERES Satellite Data for Aerosol Research Sundar A. Christopher, Pawan Gupta and Falguni Patadia The University of Alabama in Huntsville Huntsville, AL 35805 [email protected] Abstract Combining data sets from multiple satellite sensors is a powerful method for studying earth-atmosphere problems. By fusing data, we can utilize the strengths of the individual instrument...

Solving nonlinear equations is a problem often needed to be dealt with in the practical engineering application. This paper discusses preconditioning methods based on Block Broyden method. It first introduces the Block Broyden method and preconditioning technique. Then it presents four different preconditioners for the Block Broyden method and discusses the implementation process. It also analy...

Among the biggest surprises revealed by COBE and confirmed by WMAP measurements of the temperature anisotropy of the CMB are the anomalous features in the 2-point angular correlation function on very large angular scales. In particular, the l = 2 quadrupole and l = 3 octopole terms are surprisingly planar and aligned with one another, which is highly unlikely for a statistically isotropic Gauss...

An RTP profile (SAVP) for secure real-time communications and another profile (AVPF) to provide timely feedback from the receivers to a sender are defined in RFC 3711 and RFC 4585, respectively. This memo specifies the combination of both profiles to enable secure RTP communications with feedback. Ott & Carrara Standards Track [Page 1] RFC 5124 February 2008 Table of

OBJECTIVES There is growing emphasis on empirical validation of the efficacy of community-based services for older people and their families, but research on services such as respite care faces methodological challenges that have limited the growth of outcome studies. We identify problems associated with the usual research approaches for studying respite care, with the goal of stimulating use o...

Evidence has accumulated in recent years of the occurrence, in certain nonlinear systems. of strange nonchaotic attractors. that is attractors whose geometrical character is not simple, but on and near to which the exponential divergence of trajectories. characteristic of chaotic behaviour. does not occur. This behaviour has implications for predictability; small errors in initial conditions gr...