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Displaying records 1 to 10 of 99 records.
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1. Randomized methods for rank-deficient linear systems
Topic: Math
Published: 2/13/2015
Authors: Josef Sifuentes, Zydrunas Gimbutas, Leslie Greengard
Abstract: We present a simple, accurate method for solving consistent, rank-deficient linear systems, with or without additional rank-completing constraints. Such problems arise in a variety of applications, such as the computation of the eigenvectors of a ma ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=915064

2. Report on Pairing-based Cryptography
Series: Journal of Research (NIST JRES)
Report Number: 120.002
Topic: Math
Published: 2/3/2015
Authors: Dustin Moody, Rene C Peralta, Ray A Perlner, Andrew Richard Regenscheid, Allen L Roginsky, Lidong Chen
Abstract: This report summarizes study results on pairing-based cryptography. The main purpose of the study is to form NIST‰s position on standardizing and recommending pairing-based cryptography schemes currently published in research literature and standard ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913932

3. Expansions for a fundamental solution of Laplace's equation on R^u3^ in 5-cyclidic harmonics
Topic: Math
Published: 10/14/2014
Authors: Howard S Cohl, Hans Volkmer
Abstract: We derive eigenfunction expansions for a fundamental solution of Laplace's equation in three-dimensional Euclidean space in 5-cyclidic coordinates. There are three such expansions in terms of internal and external 5-cyclidic harmonics of first, seco ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=914742

4. An Asymptotically Optimal Structural Attack on the ABC Multivariate Encryption Scheme
Topic: Math
Published: 10/3/2014
Authors: Dustin Moody, Ray A Perlner, Daniel C Smith-Tone
Abstract: Historically, multivariate public key cryptography has been less than successful at offering encryption schemes which are both secure and efficient. At PQCRYPTO '13 in Limoges, Tao, Diene, Tang, and Ding introduced a promising new multivariate e ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=917340

5. A Binomial Approximation Method for the Ising Model
Topic: Math
Published: 5/21/2014
Authors: Isabel M Beichl, Amanda A. Streib, Noah S. Streib, Francis Sullivan
Abstract: A large portion of the complexity inherent to the Ising model can be captures with a trivial amount of computation. in this work, we support this claim by defining an approximation to the partition function and other thermodynamic quantities of the ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=915106

6. Estimating Fault Detection Effectiveness
Topic: Math
Published: 4/1/2014
Authors: David R Kuhn, Raghu N Kacker, Yu Lei
Abstract: [Poster] A t-way covering array can detect t-way faults, however they generally include other combinations beyond t-way as well. For example, a particular test set of all 5-way combinations is shown capable of detecting all seeded faults in a test pr ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=915440

7. Adaptive Composite B-Spline Grid Generation for Interactive 3D Visualizations
Topic: Math
Published: 1/22/2014
Authors: Bonita V Saunders, Qiming Wang, Brian Antonishek
Abstract: We describe an adaptive grid generation technique based on the composition of tensor product B-spline mappings, T and Phi, where Phi maps the unit square onto itself and T maps the unit square onto the desired physical domain. Variational method ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913397

8. Combinatorial Test Generation for Software Product Lines Using Minimum Invalid Tuples
Topic: Math
Published: 1/9/2014
Authors: Yu Lei, Raghu N Kacker
Abstract: A software product line is a set of software systems that share some common features. Several recent works have been reported that apply combinatorial testing, a very effective testing strategy to software product lines. A unique challenge in these w ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=914788

9. Fault Localization Based on Failure-Inducing Combinations
Topic: Math
Published: 11/7/2013
Author: Raghu N Kacker
Abstract: Combinatorial testing has been shown to be a very effective testing strategy. After a failure is detected, the next task is to identify the actual fault that causes the failure. In this paper, we present an approach to fault localization that le ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=913018

10. Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems
Topic: Math
Published: 6/5/2013
Author: Howard S Cohl
Abstract: We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series representations we derive Fouri ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=912042



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