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Cryptographic applications, such as hashing, block ciphers and stream ciphers, make use of functions which are simple by some criteria (such as circuit implementations), yet hard to invert almost everywhere. A necessary condition for the latter property is
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 Fourier
Raghu N. Kacker, Linbin Yu, Yu Lei, David R. Kuhn, Ram D. Sriram, Kevin G. Brady
ISO/IEEE 11073 Personal Health Data (IEEE 11073 PHD) is a set of standards that addresses the interoperability of personal healthcare devices. As an important part of IEEE 11073 PHD, ISO/IEEE 1107-20601 optimized exchange protocol (IEEE 11073-20601)
This report summarizes the technical work of the Applied and Computational Sciences Division of NISTs Information Technology Laboratory. Part I (Overview) provides a high-level overview of the Divisions activities, including highlights of technical
Identifying sources of ground water pollution, and deblurring nanoscale imagery, as well as astronomical galaxy images, often involves the numerical computation of parabolic equations backward in time. However, very little computational experience has so
The widespread existence of slow crack growth in most glasses and ceramics due to a stress-enhanced reaction between an external environment and strained bonds at a crack tip greatly complicates the challenge of assuring the reliability of components which
In this paper, we introduce a combinatorial test generation tool called Advanced Combinatorial Testing System (or ACTS). ACTS supports t-way combinatorial test generation with several advanced features such as mixed-strength test generation and constraint
Mehra N. Borazjany, Laleh Ghandehari, Yu Lei, Raghu N. Kacker, D. Richard Kuhn
The input space of a system must be modeled before combinatorial testing can be applied to this system. The effectiveness of combinatorial testing to a large extent depends on the quality of the input space model. In this paper we introduce an input space
Laleh Ghandehari, Mehra N. Borazjany, Yu Lei, Raghu N. Kacker, D. Richard Kuhn
Combinatorial testing has attracted a lot of attention from both industry and academia. A number of reports suggest that combinatorial testing can be effective for practical applications. However, there still seems to lack systematic, controlled studies on
Combinatorial testing has been shown to be a very effective testing strategy. An important problem in combinatorial testing is dealing with constraints, i.e., restrictions that must be satisfied in order for a test to be valid. In this paper, we present an
It is a long accepted tenet of scientific practice that every measurement result ought to include a statement of uncertainty associated with the measured value, and that such uncertainty should be propagated to derivative products. It is also widely
Digital enhancements of latent fingerprints using Photoshop processing is the preferred methodology among law enforcement forensic experts. This report explores alternative enhancement methods that are independent of Photoshop, relying instead on such
Jeffrey T. Fong, William F. Guthrie, James J. Filliben, Nathanael A. Heckert
In this paper, we use a Bayesian quantitative nondestructive evaluation (QNDE) approach to estimating the remaining life of aging structures and components. Our approach depends on in-situ NDE measurements of detectable crack lengths and crack growth rates